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• Kindergarten Numbers Worksheets

Trace, Count, Write, and Color Numbers from One to Ten

Our comprehensive worksheets cover numbers 1 to 10, offering kindergarteners an enjoyable way to enhance their counting skills and gain confidence with number recognition. Each worksheet includes various engaging activities to facilitate their learning journey. These activities involve tracing and writing numbers, counting, cutting, and pasting, providing hands-on experiences reinforcing numerical understanding. Additionally, our worksheets feature color-by-number exercises, matching activities, and identifying quantities, further supporting children's number sense and fine motor skills.

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Free Numbers Worksheets

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Our numbers worksheets are designed to be convenient for educators and families. We offer three options to access our free worksheets. You can download the PDF file, print it from your browser, or use the online version of our kindergarten worksheets. These options allow you to save, print, or complete our worksheets directly on our website. By providing these flexible options, we aim to make learning numbers accessible, convenient, and engaging for teachers, parents, and kids.

Free Kindergarten Worksheets

• Color By Number Worksheet
• Numbers 1 to 5 Worksheet
• Numbers 6 to 10 Worksheet
• Coloring Numbers Worksheet
• Color by Code Worksheet
• Identifying Numbers Worksheet
• Number Match Worksheet
• Practice Writing Numbers Worksheet
• Preschool Numbers Worksheet
• Prime Numbers Worksheet
• Snail Number Match Worksheet
• Traceable Numbers Worksheet
• Count and Match Numbers Worksheet
• Number One Worksheet
• Number Two Worksheet
• Number Three Worksheet
• Number Four Worksheet
• Number Five Worksheet
• Number Six Worksheet
• Number Seven Worksheet
• Number Eight Worksheet
• Number Nine Worksheet
• Number Ten Worksheet
• Get More Worksheets
• Kindergarten Math Worksheets
• Kindergarten Addition Worksheets
• Kindergarten Subtraction Worksheets
• Kindergarten Counting Worksheets
• Kindergarten More or Less Worksheets
• Kindergarten Shapes Worksheets
• Kindergarten Fractions Worksheets
• Kindergarten Measurement Worksheets
• Kindergarten Patterns Worksheets
• Kindergarten Graph Worksheets
• Kindergarten Place Value Worksheets
• Kindergarten Time Worksheets
• Kindergarten Making 10 Worksheets

Main Categories of Kindergarten Worksheets

• Kindergarten English Worksheets
• Learning About Our World
• Kindergarten Holiday Worksheets
• Kindergarten Seasons Worksheets

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Number Sense Worksheets

Welcome to the number sense page at Math-Drills.com where we've got your number! This page includes Number Worksheets such as counting charts, representing, comparing and ordering numbers worksheets, and worksheets on expanded form, written numbers, scientific numbers, Roman numerals, factors, exponents, and binary numbers. There are literally hundreds of worksheets meant to help students develop their understanding of numeration and number sense.

In the first few sections, there are some general use printables that can be used in a variety of situations. Hundred charts, for example, can be used for counting, but they can just as easily be used for learning decimal hundredths. Rounding worksheets help students learn this important skill that is especially useful in estimation.

Comparing and ordering numbers worksheets help students further understand place value and the ordinality of numbers. Continuing down the page are a number of worksheets on number forms: written, expanded, standard, scientific, and Roman numerals. Near the end of the page are a few worksheets for older students on factors, factoring, exponents and roots and binary numbers.

Most Popular Number Sense Worksheets this Week

Reading and Writing Numbers

There are a few different number posters in this section. The first two, with bird and butterfly themes include various ways of representing numbers from 0 to 9. Two versions of the numerals are used to demonstrate different printing styles, a Braille version and an American Sign Language version are also included to make students aware of different ways of representing each number. A linear representation and a ten-frame representation follow which is then followed by a pictorial representation using the theme. The poster sized numbers are just that ... made for printing and putting up in your classroom or home school.

• Number Recognition Posters Number Recognition Posters for 0 to 9 with a Bird Theme Number Recognition Posters for 0 to 9 with a Butterfly Theme
• Poster-Sized Numbers Poster sized numbers (black) Poster sized numbers (Outline) Poster sized numbers (Color)

Distinguishing between even and odd numbers is an important skill for young students to learn. The vocabulary of even and odd is used throughout their math education, so it is necessary to learn it as soon as possible. Connecting cubes can help a great deal in visually demonstrating odd and even numbers. Create the numbers from 1 to 10 (or more) using connecting cubes in pairs and students will quickly see that the odd numbers have an unpaired cube that can be thought of as the "odd cube out." Once they have seen this pattern, they may be able to extend the pattern without making cube models. Ask them about 11 and 12 and 35 and so on.

• Even and Odd Numbers Even and Odd Numbers Information Poster Count Circles and Determine Even or Odd Coloring Odd Numbers in a Grid Coloring Even Numbers in a Grid

In the writing numerals to 20 worksheets, you will find that the A version includes all numbers, B to E versions have about half the numbers included, F to I versions have about a third of the numbers included and the J version includes no numbers... just the lines to write them on. All versions include dashes under the numbers, so students have a reference for where to place the numbers. You can access the other versions (B to J) once you select the A version you want below.

• Practice Writing Numerals from 0 to 20 Write Numbers to 20 36pt Write Numbers to 20 60pt
• Practice Writing One Numeral at a Time Practice Writing the Numerals from 0 to 9 (36pt) Practice Writing the Numerals from 0 to 4 (36pt) Practice Writing the Numerals from 5 to 9 (36pt)

The main idea of learning to write numbers in words is to be able to say numbers correctly. In the past it might also have been useful for writing checks/cheques, but there isn't a lot of that going on any more. In writing, numbers up to ten are generally written as words and above ten as numerals. Numbers that are at the beginning of sentences are often written as words. These worksheets do not use the superfluous "and" throughout. If this is something you would like included, please send some feedback.

• Writing Small Numbers in Words Writing Numbers 0 to 10 in Words ✎ Writing Numbers 1 to 50 in Words ✎ Writing 2-digit Numbers in Words ✎ Writing 3-digit Numbers in Words ✎
• Writing Large Numbers in Words (Comma-Separated Thousands) Writing 4-digit Numbers in Words ✎ Writing 5-digit Numbers in Words ✎ Writing 6-digit Numbers in Words ✎ Writing 7-digit Numbers in Words ✎ Writing 8-digit Numbers in Words ✎ Writing 9-digit Numbers in Words ✎ Writing 5- to 9-digit Numbers in Words ✎ Writing 8- to 12-digit Numbers in Words ✎
• Writing Large Numbers in Words (Space-Separated Thousands) Writing 4-digit Numbers in Words (SI Number Format) ✎ Writing 5-digit Numbers in Words (SI Number Format) ✎ Writing 6-digit Numbers in Words (SI Number Format) ✎ Writing 7-digit Numbers in Words (SI Number Format) ✎ Writing 8-digit Numbers in Words (SI Number Format) ✎ Writing 9-digit Numbers in Words (SI Number Format) ✎ Writing 5- to 9-digit Numbers in Words (SI Number Format) ✎ Writing 8- to 12-digit Numbers in Words (SI Number Format) ✎

Now, let's see if students can write the numbers that are written! The reading numbers written as words worksheets do not have format options as the student question sheets are all written in words. The answer keys are formatted with a comma thousands separator when necessary.

• Reading Smaller Written Numbers Reading Written Two-Digit Numbers Reading Written Three-Digit Numbers
• Reading Larger Written Numbers Reading Written Four-Digit Numbers Reading Written Five-Digit Numbers Reading Written Six-Digit Numbers Reading Written Seven-Digit Numbers Reading Written Eight-Digit Numbers Reading Written Nine-Digit Numbers

Counting Worksheets

Ten frames help students visualize numbers in relation to 10. They are used for many purposes, but the worksheets below are introductory and familiarize students with ten frames and give them practice using them.

• Identify Ten Frames Identify Ten Frames with the Numbers in Order Identify Ten Frames with the Numbers in Reverse Order Identify Ten Frames with the Numbers in Random Order (10 versions)
• Draw Ten Frames Draw Ten Frames with the Numbers in Order Draw Ten Frames with the Numbers in Reverse Order Draw Ten Frames with the Numbers in Random Order (10 versions)

These skip counting worksheets include pictorial representations of the items the student is counting. For example, in the counting by 3's worksheet, students will see groups of three cars. This allows students to develop a mental image of skip counting. With larger numbers, including groups of items become impractical, so numbers are instead printed on the cars.

• Skip Counting by Numbers 1 to 10 Counting by 1's with Cars Skip Counting by 2's with Cars Skip Counting by 3's with Cars Skip Counting by 4's with Cars Skip Counting by 5's with Cars Skip Counting by 6's with Cars Skip Counting by 7's with Cars Skip Counting by 8's with Cars Skip Counting by 9's with Cars Skip Counting by 10's with Cars
• Skip Counting by Numbers Greater Than 10 Skip Counting by 11's with Cars Skip Counting by 12's with Cars Skip Counting by 25's with Cars Skip Counting by 50's with Cars Skip Counting by 100's with Cars

Hundred charts are useful not only for learning counting but for many other purposes in math. For example, a hundred chart can be used to model fractions and to convert fractions into decimals. Modeling 1/4 on a hundred chart would require coloring every fourth square. After coloring every fourth square, there would be 25 squares colored in which is 25/100 or 0.25. Not magic, just math. Hundred charts can also be used as graph paper for graphing, learning long multiplication and division or any other purpose. A common use for hundred charts in older grades is to use it to find prime and composite numbers using the sieve of Eratosthenes.

• Filled and Blank 100 Charts 100 Chart 100 Charts (4 Charts) Left-Handed 100 Chart Left-Handed 100 Charts (4 Charts) Blank 100 Chart ✎ Blank 100 Charts (4 Charts) ✎
• Partially Filled 100 Charts 100 Chart with Even Numbers ✎ 100 Chart with Odd Numbers ✎ 100 Chart with Multiples of 3 ✎ 100 Chart with Multiples of 4 ✎ 100 Chart with Multiples of 5 ✎ 100 Chart with Multiples of 6 ✎ 100 Chart with Multiples of 7 ✎ 100 Chart with Multiples of 8 ✎ 100 Chart with Multiples of 9 ✎ 100 Chart with Multiples of 10 ✎ Partially Completed 100 Chart (About 20%) ✎ Partially Completed 100 Charts (About 20%) (4 Charts) ✎

Have you ever thought about why hundred charts start at the top and count left to right and top to bottom? After all, don't we count UP rather than down? Thermometers have smaller numbers at the bottom, elevation increases the further you go up, and liquids fill from the bottom up. Coordinate grids have decreasing numbers going down and increasing numbers going up. Maybe starting with one at the bottom makes a lot more sense to students than starting with one at the top.

• Filled and Blank Bottom-Up 100 Charts Bottom-Up 100 Chart Bottom-Up 100 Chart Blank ✎
• Partially Filled Bottom-Up 100 Charts Bottom-Up 100 Chart with Even Numbers ✎ Bottom-Up 100 Chart with Odd Numbers ✎ Bottom-Up 100 Chart with Multiples of 3 ✎ Bottom-Up 100 Chart with Multiples of 4 ✎ Bottom-Up 100 Chart with Multiples of 5 ✎ Bottom-Up 100 Chart with Multiples of 6 ✎ Bottom-Up 100 Chart with Multiples of 7 ✎ Bottom-Up 100 Chart with Multiples of 8 ✎ Bottom-Up 100 Chart with Multiples of 9 ✎ Bottom-Up 100 Chart with Multiples of 10 ✎ Bottom-Up 100 Charts Partially Filled ✎

120 charts are very similar to hundred charts except they include the numbers from 101 to 120. 120 is a nice number for many reasons. One reason is that it has a lot of divisors—16 in fact. This makes the number 120 useful for many different grouping activities. Another reason is the Common Core Curriculum in the United States requires first graders to count to 120. A third reason is that 120 includes some three-digit numbers which could be a good introduction for some students into the hundreds place.

• Filled and Blank 120 Charts 120 Chart 120 Charts (4 Charts) Left-Handed 120 Chart Left-Handed 120 Charts (4 Charts) Blank 120 Chart ✎ Blank 120 Charts (4 Charts) ✎
• Partially Filled 120 Charts 120 Chart with Even Numbers ✎ 120 Chart with Odd Numbers ✎ 120 Chart with Multiples of 3 ✎ 120 Chart with Multiples of 4 ✎ 120 Chart with Multiples of 5 ✎ 120 Chart with Multiples of 6 ✎ 120 Chart with Multiples of 7 ✎ 120 Chart with Multiples of 8 ✎ 120 Chart with Multiples of 9 ✎ 120 Chart with Multiples of 10 ✎ Partially Completed 120 Chart (About 20%) ✎ Partially Completed 120 Charts (About 20%) (4 Charts) ✎

Similar to the bottom-up 100 charts, the bottom-up 120 charts start counting at the bottom and increase as you go up. Still not convinced that these make sense? Here are some more examples of things that start counting at the bottom: your height, snow depth, floors in a building, scales on most graphs, and altitude.

• Filled and Blank Bottom-Up 120 Charts Bottom-Up 120 Chart Bottom-Up 120 Chart Blank ✎
• Partially Filled Bottom-Up 120 Charts Bottom-Up 120 Chart with Even Numbers ✎ Bottom-Up 120 Chart with Odd Numbers ✎ Bottom-Up 120 Chart with Multiples of 3 ✎ Bottom-Up 120 Chart with Multiples of 4 ✎ Bottom-Up 120 Chart with Multiples of 5 ✎ Bottom-Up 120 Chart with Multiples of 6 ✎ Bottom-Up 120 Chart with Multiples of 7 ✎ Bottom-Up 120 Chart with Multiples of 8 ✎ Bottom-Up 120 Chart with Multiples of 9 ✎ Bottom-Up 120 Chart with Multiples of 10 ✎ Bottom-Up 120 Charts Partially Filled ✎

Ninety-nine charts include zero and have no three-digit numbers. Each row starts with a multiple of ten rather than ending with a multiple of ten.

• Filled and Blank 99 Charts 99 Chart 99 Charts (4 Charts) Left-Handed 99 Chart Left-Handed 99 Charts (4 Charts) Blank 99 Chart ✎ Blank 99 Charts (4 Charts) ✎
• Partially Filled 99 Charts 99 Chart with Even Numbers ✎ 99 Chart with Odd Numbers ✎ 99 Chart with Multiples of 3 ✎ 99 Chart with Multiples of 4 ✎ 99 Chart with Multiples of 5 ✎ 99 Chart with Multiples of 6 ✎ 99 Chart with Multiples of 7 ✎ 99 Chart with Multiples of 8 ✎ 99 Chart with Multiples of 9 ✎ 99 Chart with Multiples of 10 ✎ Partially Completed 99 Chart (About 20%) ✎ Partially Completed 99 Charts (About 20%) (4 Charts) ✎

You may not realize that many things start counting at zero, like when you are running around a track; you start at zero laps and count one for every lap you do. These charts start at zero at the bottom and go up to 99 at the top.

• Filled and Blank Bottom-Up 99 Charts Bottom-Up 99 Chart Bottom-Up 99 Chart Blank ✎
• Partially Filled Bottom-Up 99 Charts Bottom-Up 99 Chart with Even Numbers ✎ Bottom-Up 99 Chart with Odd Numbers ✎ Bottom-Up 99 Chart with Multiples of 3 ✎ Bottom-Up 99 Chart with Multiples of 4 ✎ Bottom-Up 99 Chart with Multiples of 5 ✎ Bottom-Up 99 Chart with Multiples of 6 ✎ Bottom-Up 99 Chart with Multiples of 7 ✎ Bottom-Up 99 Chart with Multiples of 8 ✎ Bottom-Up 99 Chart with Multiples of 9 ✎ Bottom-Up 99 Chart with Multiples of 10 ✎ Bottom-Up 99 Charts Partially Filled ✎

Counting collections of things in various patterns helps students develop shortcuts and strategies for counting. For example, when students count collections of items in rectangular patterns, they may use skip counting or multiplying to speed up their counting.

• Counting Animals Arranged in Patterns Counting Animals in Rectangular Patterns Counting Animals in Circular Patterns Counting Animals in Linear Patterns Counting Animals in Scattered Formations Counting Animals in Mixed Patterns Counting Animals in a Super Scatter (About 50 Percent Full) Counting Animals in a Super Scatter (100 Percent Full)

Counting and skip counting can be accomplished with number lines.

• Counting and Skip Counting on Number Lines Blank Number Lines Number Line to 100 by 1's Number Lines to 20 by 1's Number Lines to 40 by 2's Number Line to 200 by 2's Number Lines to 50 by 10's Number Line to 125 by 1's Number Line to 125 by 2's Number Line to 125 by 3's Number Line to 125 by 4's Number Line to 125 by 5's Number Line to 125 by 6's Number Line to 125 by 7's Number Line to 125 by 8's Number Line to 125 by 9's Number Line to 125 by 10's

A skill that is useful is to be able to continue counting or skip counting from any number.

• Continue Counting and Skip Counting From Various Numbers Continue Counting by 1 From Various Starting Numbers Continue Counting by 2 From Various Starting Numbers Continue Counting by 3 From Various Starting Numbers Continue Counting by 4 From Various Starting Numbers Continue Counting by 5 From Various Starting Numbers Continue Counting by 6 From Various Starting Numbers Continue Counting by 7 From Various Starting Numbers Continue Counting by 8 From Various Starting Numbers Continue Counting by 9 From Various Starting Numbers Continue Counting by 10 From Various Starting Numbers

Similar to the counting from any number worksheets, this one asks students to count down from different numbers.

• Continue Counting Backwards Counting Backwards with Numbers to 120 Starting at Random Numbers

Rounding Numbers Worksheets

Not only does rounding further an understanding of numbers, it can also be quite useful in estimating and measuring. There are many every day situations where a precise number isn't needed. For example if you needed to paint your basement floor, you don't really need to find out the area to exact square inch since you don't buy paint that way. You get a good idea of the floor space (e.g. it is roughly 20 feet by 15 feet) then read the label on the can to see how many square feet the can of paint covers (which, by the way is also a rounded number and variable depending on the roller used, the porosity of the floor, etc.) and buy enough cans to cover your floor.

• Rounding Numbers Rounding Numbers to Tens (Comma-Separated Thousands) Rounding Numbers to Hundreds (Comma-Separated Thousands) Rounding Numbers to Thousands (Comma-Separated Thousands) Rounding Numbers to Ten Thousands (Comma-Separated Thousands) Rounding Numbers to Hundred Thousands (Comma-Separated Thousands) Rounding Numbers to Millions (Comma-Separated Thousands)
• Canadian (SI) Format Rounding Numbers Rounding Numbers to Tens (Space-Separated Thousands) Rounding Numbers to Hundreds (Space-Separated Thousands) Rounding Numbers to Thousands (Space-Separated Thousands) Rounding Numbers to Ten Thousands (Space-Separated Thousands) Rounding Numbers to Hundred Thousands (Space-Separated Thousands) Rounding Numbers to Millions (Space-Separated Thousands)
• European Format Rounding Numbers Rounding Numbers to Tens (Period-Separated Thousands) Rounding Numbers to Hundreds (Period-Separated Thousands) Rounding Numbers to Thousands (Period-Separated Thousands) Rounding Numbers to Ten Thousands (Period-Separated Thousands) Rounding Numbers to Hundred Thousands (Period-Separated Thousands) Rounding Numbers to Millions (Period-Separated Thousands)

Comparing and Ordering/Sorting Numbers

There are many situations where it is important to know the relative size of one number to another. Several words are used to describe the relative sizes of one number to another, but it is probably best to use lesser than, greater than and equal to, although other words are more appropriate in certain situations. For example, if you were comparing two groups of candies, you would probably say, "there are fewer candies in that pile than in that one." The use of the word, "tight" , in the worksheet titles means the numbers to be compared are close to one another.

• Comparing Small Numbers Comparing Numbers to 9 Comparing Numbers to 25 Comparing Numbers to 50 Comparing Numbers to 50 (tight) Comparing Numbers to 100 Comparing Numbers to 100 (tight) Comparing Numbers to 1000 Comparing Numbers to 1000 (tight)
• Comparing Large Numbers Comparing Numbers to 10,000 (Comma-Separated Thousands) Comparing Numbers to 10,000 (tight) (Comma-Separated Thousands) Comparing Numbers to 100,000 (Comma-Separated Thousands) Comparing Numbers to 100,000 (tight) (Comma-Separated Thousands) Comparing Numbers to 1,000,000 (Comma-Separated Thousands) Comparing Numbers to 1,000,000 (tight) (Comma-Separated Thousands) Comparing Numbers to 10,000,000 (Comma-Separated Thousands) Comparing Numbers to 10,000,000 (tight) (Comma-Separated Thousands)
• Canadian (SI) Format Comparing Large Numbers Comparing Numbers to 10 000 (Space-Separated Thousands) Comparing Numbers to 10 000 (tight) (Space-Separated Thousands) Comparing Numbers to 100 000 (Space-Separated Thousands) Comparing Numbers to 100 000 (tight) (Space-Separated Thousands) Comparing Numbers to 1 000 000 (Space-Separated Thousands) Comparing Numbers to 1 000 000 (tight) (Space-Separated Thousands) Comparing Numbers to 10 000 000 (Space-Separated Thousands) Comparing Numbers to 10 000 000 (tight) (Space-Separated Thousands)
• European Format Comparing Large Numbers Comparing Numbers to 10.000 (Period-Separated Thousands) Comparing Numbers to 10.000 (tight) (Period-Separated Thousands) Comparing Numbers to 100.000 (Period-Separated Thousands) Comparing Numbers to 100.000 (tight) (Period-Separated Thousands) Comparing Numbers to 1.000.000 (Period-Separated Thousands) Comparing Numbers to 1.000.000 (tight) (Period-Separated Thousands) Comparing Numbers to 10.000.000 (Period-Separated Thousands) Comparing Numbers to 10.000.000 (tight) (Period-Separated Thousands)
• Sorting/Ordering Small Numbers Ordering Numbers from 0 to 9 Ordering Numbers from 1 to 20 Ordering Numbers from 10 to 50 Ordering Numbers from 10 to 99 Ordering Numbers from 100 to 999

Converting Numbers to Different Forms

When writing numbers in expanded form, students might use one of three forms which will be demonstrated using the number 9753. The first form is quite simple and combines both the place and the place value. For example, 9 is in the thousands place which means the value of that 9 is 9000. The 7 is in the hundreds place which makes it 700. The 5 is in the tens place which makes it 50 and the 3 is in the ones place which makes it 3.

To write in "simple" expanded form , simply separate these four values with plus signs: 9000 + 700 + 50 + 3.

In expanded factors form , the place and the place value are separated with multiplication signs: (9 × 1000) + (7 × 100) + (5 × 10) + (3 × 1). Parentheses are included for clarity.

In expanded exponential form , the place values are expressed as powers of ten: (9 × 10 3 ) + (7 × 10 2 ) + (5 × 10 1 ) + (3 × 10 0 ).

• Converting Standard Form Numbers to Expanded Form Converting 3-Digit Standard Form Numbers to Expanded Form Converting 4-Digit Standard Form Numbers to Expanded Form Converting 5-Digit Standard Form Numbers to Expanded Form Converting 6-Digit Standard Form Numbers to Expanded Form Converting 7-Digit Standard Form Numbers to Expanded Form Converting 8-Digit Standard Form Numbers to Expanded Form Converting 9-Digit Standard Form Numbers to Expanded Form
• Converting Standard Form Numbers to Expanded Factors Form Converting 3-Digit Standard Form Numbers to Expanded Factors Form Converting 4-Digit Standard Form Numbers to Expanded Factors Form Converting 5-Digit Standard Form Numbers to Expanded Factors Form Converting 6-Digit Standard Form Numbers to Expanded Factors Form Converting 7-Digit Standard Form Numbers to Expanded Factors Form Converting 8-Digit Standard Form Numbers to Expanded Factors Form Converting 9-Digit Standard Form Numbers to Expanded Factors Form
• Converting Standard Form Numbers to Expanded Exponential Form Converting 3-Digit Standard Form Numbers to Expanded Exponential Form Converting 4-Digit Standard Form Numbers to Expanded Exponential Form Converting 5-Digit Standard Form Numbers to Expanded Exponential Form Converting 6-Digit Standard Form Numbers to Expanded Exponential Form Converting 7-Digit Standard Form Numbers to Expanded Exponential Form Converting 8-Digit Standard Form Numbers to Expanded Exponential Form Converting 9-Digit Standard Form Numbers to Expanded Exponential Form
• Converting Expanded Form Numbers to Standard Form Converting 3-Digit Expanded Form Numbers to Standard Form Converting 4-Digit Expanded Form Numbers to Standard Form Converting 5-Digit Expanded Form Numbers to Standard Form Converting 6-Digit Expanded Form Numbers to Standard Form Converting 7-Digit Expanded Form Numbers to Standard Form Converting 8-Digit Expanded Form Numbers to Standard Form Converting 9-Digit Expanded Form Numbers to Standard Form
• Converting Expanded Factors Form Numbers to Standard Form Converting 3-Digit Expanded Factors Form Numbers to Standard Form Converting 4-Digit Expanded Factors Form Numbers to Standard Form Converting 5-Digit Expanded Factors Form Numbers to Standard Form Converting 6-Digit Expanded Factors Form Numbers to Standard Form Converting 7-Digit Expanded Factors Form Numbers to Standard Form Converting 8-Digit Expanded Factors Form Numbers to Standard Form Converting 9-Digit Expanded Factors Form Numbers to Standard Form
• Converting Expanded Exponential Form Numbers to Standard Form Converting 3-Digit Expanded Exponential Form Numbers to Standard Form Converting 4-Digit Expanded Exponential Form Numbers to Standard Form Converting 5-Digit Expanded Exponential Form Numbers to Standard Form Converting 6-Digit Expanded Exponential Form Numbers to Standard Form Converting 7-Digit Expanded Exponential Form Numbers to Standard Form Converting 8-Digit Expanded Exponential Form Numbers to Standard Form Converting 9-Digit Expanded Exponential Form Numbers to Standard Form

These versions use a space as a thousands separator.

• Canadian (SI) Format Converting Standard Form Numbers to Expanded Form Writing 5-Digit Numbers in Expanded Form (Space-Separated Thousands) Writing 6-Digit Numbers in Expanded Form (Space-Separated Thousands) Writing 7-Digit Numbers in Expanded Form (Space-Separated Thousands) Writing 8-Digit Numbers in Expanded Form (Space-Separated Thousands) Writing 9-Digit Numbers in Expanded Form (Space-Separated Thousands) (Retro) Write Expanded Form (range 1 000 to 9 999) (Space-Separated Thousands)

These versions use a period as a thousands separator.

• European Format Converting Standard Form Numbers to Expanded Form Writing 5-Digit Numbers in Expanded Form (Period-Separated Thousands) Writing 6-Digit Numbers in Expanded Form (Period-Separated Thousands) Writing 7-Digit Numbers in Expanded Form (Period-Separated Thousands) Writing 8-Digit Numbers in Expanded Form (Period-Separated Thousands) Writing 9-Digit Numbers in Expanded Form (Period-Separated Thousands) (Retro) Write Expanded Form (range 1.000 to 9.999) (Period-Separated Thousands)

The standard, expanded and written forms conversion worksheets include three number forms on the same page.

• Converting Between Standard, Expanded and Written Form Numbers Converting Between Standard, Expanded and Written Forms ( 3-Digit ) Converting Between Standard, Expanded and Written Forms ( 4-Digit ) Converting Between Standard, Expanded and Written Forms (5-Digit) Converting Between Standard, Expanded and Written Forms (3-Digit to 5-Digit) Converting Between Standard, Expanded and Written Forms (6-Digit) Converting Between Standard, Expanded and Written Forms (7-Digit) Converting Between Standard, Expanded and Written Forms (8-Digit) Converting Between Standard, Expanded and Written Forms (9-Digit) Converting Between Standard, Expanded and Written Forms (6-Digit to 9-Digit)
• Canadian (SI) Format Converting Between Standard, Expanded and Written Form Numbers Converting Between Standard, Expanded and Written Forms (5-Digit; Space-Separated Thouands) Converting Between Standard, Expanded and Written Forms (3-Digit to 5-Digit; Space-Separated Thouands) Converting Between Standard, Expanded and Written Forms (6-Digit; Space-Separated Thouands) Converting Between Standard, Expanded and Written Forms (7-Digit; Space-Separated Thouands) Converting Between Standard, Expanded and Written Forms (8-Digit; Space-Separated Thouands) Converting Between Standard, Expanded and Written Forms (9-Digit; Space-Separated Thouands) Converting Between Standard, Expanded and Written Forms (6-Digit to 9-Digit; Space-Separated Thouands)
• Convert Numbers in Standard Form to Scientific Notation Convert Standard to Scientific Notation (Large Numbers Only) Convert Standard to Scientific Notation (Small Numbers Only) Convert Standard to Scientific Notation (Large and Small Numbers)
• Convert Numbers in Scientific Notation to Standard Form Convert Scientific to Standard Numbers (Large Numbers Only) Convert Scientific to Standard Numbers (Small Numbers Only) Convert Scientific to Standard Numbers (Large and Small Numbers)
• Convert Numbers Between Standard Form and Scientific Notation Convert Between Standard and Scientific Numbers (Large Numbers Only) Convert Between Standard and Scientific Numbers (Small Numbers Only) Convert Between Standard and Scientific Numbers (Large and Small Numbers)

This is about as "old school" as you can get. Put on your tunic and pick up your scutum to tackle the worksheets on Roman Numerals. Below, you will see options for standard and compact forms. The standard form Roman Numeral math worksheets include numerals in the commonly-taught version where 999 is CMXCIX (i.e. write the numeral one place value at a time). The compact versions are for those who want more of a challenge where the Roman numerals are written in as concise a version as possible. In the compact version, 999 is written as IM (i.e. one less than 1000).

• Converting Roman Numerals to Standard Form Numbers Converting Roman Numerals up to X (10) to Standard Numbers Converting Roman Numerals up to C (100) to Standard Numbers Converting Roman Numerals up to M (1000) to Standard Numbers Converting Roman Numerals up to MMMCMXCIX (3999) to Standard Numbers
• Converting Compact Roman Numerals to Standard Form Numbers Compact Roman Numerals up to C Compact Roman Numerals up to M Compact Roman Numerals up to MMMIM

Operations with Roman numerals

• Adding Roman Numerals Adding Roman Numerals up to XXV Adding Roman Numerals up to C Adding Roman Numerals up to M Adding Roman Numerals up to MMMCMXCIX
• Subtracting Roman Numerals Subtracting Roman Numerals up to XXV Subtracting Roman Numerals up to C Subtracting Roman Numerals up to M Subtracting Roman Numerals up to MMMCMXCIX
• Multiplying Roman Numerals Multiplying Roman Numerals up to C Multiplying Roman Numerals up to M Multiplying Roman Numerals up to MMMCMXCIX
• Dividing Roman Numerals Dividing Roman Numerals up to C Dividing Roman Numerals up to M Dividing Roman Numerals up to MMMCMXCIX
• Mixed Operations With Roman Numerals Mixed Operations with Roman Numerals up to C Mixed Operations with Roman Numerals up to M Mixed Operations with Roman Numerals up to MMMCMXCIX

Factors and Factoring

What would factoring be without some factoring trees? They are probably the most elegant and convenient way to find the prime factors of a number, but they take a little practice, which is where we come in. The worksheets below are of two types. The first is finding all of the factors of a number. This is great for students who know their multiplication/division facts. If they don't, they might find this a little frustrating, so go back and work on that first. The second type is finding prime factors which we've chosen to do with tree diagrams. Among other things, this is a great way to find prime numbers and to practice divisibility rules.

• Lists of Factors List of Factors of Numbers 2 to 99 (Informational) List of Factors of Numbers 100 to 999 (Informational) List of Factors of Numbers 1000 to 9999 (Informational; CAUTION 166 Pages)
• Determining Factors of Numbers Determining Factors of Numbers (range 4 to 50) Determining Factors of Numbers (range 50 to 100) Determining Factors of Numbers (range 100 to 200) Determining Factors of Numbers (range 200 to 400)
• Lists of Prime Factors List of Prime Factors of Numbers 2 to 99 (Informational) List of Prime Factors of Numbers 100 to 999 (Informational) List of Prime Factors of Numbers 1000 to 9999 (Informational; CAUTION 137 Pages)
• Determining Prime Factors Using a Tree Diagram Determining Prime Factors Using a Tree Diagram (range 4 to 48) Determining Prime Factors Using a Tree Diagram (range 4 to 96) Determining Prime Factors Using a Tree Diagram (range 4 to 144) Determining Prime Factors Using a Tree Diagram (range 48 to 192) Determining Prime Factors Using a Tree Diagram (range 48 to 240)
• Calculating Greatest Common Factor Using Prime Factors Calculating Greatest Common Factors Using Prime Factors ; Range 4 to 100 (Sets of 2) Calculating Greatest Common Factors Using Prime Factors ; Range 100 to 200 (Sets of 2) Calculating Greatest Common Factors Using Prime Factors ; Range 200 to 400 (Sets of 2) Calculating Greatest Common Factors Using Prime Factors ; Range 4 to 400 (Sets of 2)
• Determining Greatest Common Factor Using All Factors Determining Greatest Common Factors Using All Factors ; Range 4 to 100 (Sets of 2) Determining Greatest Common Factors Using All Factors ; Range 100 to 200 (Sets of 2) Determining Greatest Common Factors Using All Factors ; Range 200 to 400 (Sets of 2) Determining Greatest Common Factors Using All Factors ; Range 4 to 400 (Sets of 2)

Least Common Multiple (LCM) Worksheets

• Determine Least Common Multiple from Multiples Determine LCM From Multiples of Numbers to 10 (LCM Not One of the Numbers or the Product) Determine LCM From Multiples of Numbers to 10 (LCM Not One of the Numbers) Determine LCM From Multiples of Numbers to 10 Determine LCM From Multiples of Numbers to 15 (LCM Not One of the Numbers or the Product) Determine LCM From Multiples of Numbers to 15 (LCM Not One of the Numbers) Determine LCM From Multiples of Numbers to 15 Determine LCM From Multiples of Numbers to 25 (LCM Not One of the Numbers or the Product) Determine LCM From Multiples of Numbers to 25 (LCM Not One of the Numbers) Determine LCM From Multiples of Numbers to 25
• Determine Least Common Multiple from Prime Factors Determine LCM From Prime Factors of Numbers to 25 (LCM Not One of the Numbers or the Product) Determine LCM From Prime Factors of Numbers to 50 (LCM Not One of the Numbers or the Product) Determine LCM From Prime Factors of Numbers to 100 (LCM Not One of the Numbers or the Product)

Exponents and Roots

• Squares of Numbers Squares of Numbers from 0 to 9 Squares of Numbers from 1 to 12 Squares of Numbers from 1 to 20 Common Squares (Squares of 1 to 15, 20, 25, and multiples of 10 to 90) Squares of Numbers from 1 to 32 Squares of Numbers from 1 to 99
• Square Roots Square Roots 0 to 9 Square Roots 1 to 12 Square Roots 1 to 20 Common Square Roots (1 to 15, 20, 25, and multiples of 10 to 90) Square Roots 1 to 32 Square Roots 1 to 99
• Squares and Square Roots Mixed Squares and Square Roots of Numbers 1 to 16 Squares and Square Roots of Common Numbers (1 to 15, 20, 25, and multiples of 10 to 90)
• Cubes of Numbers Cubes of Numbers from 0 to 9 Cubes of Numbers from 1 to 12 Cubes of Numbers from 1 to 20 Cubes of Numbers from 1 to 32
• Cube Roots Cube Roots 0 to 9 Cube Roots 1 to 12 Cube Roots 1 to 20 Common Cube Roots (1 to 15, 20, 25, and multiples of 10 to 90) Cube Roots 1 to 32 Cube Roots 1 to 99
• Cubes and Cube Roots Cubes and Cube Roots
• Exponents in Factor Form Exponents in Factor Form

Other Base Number Systems

The binary number system has broad applications, but it is most known for its predominance in computer architecture. Learning about the binary system not only encourages higher order thinking, but it also prepares students for further studies in mathematics and computer studies. The chart below may be useful for students who need some help lining things up and learning about place value as it relates to the binary system. We included a base 10 number column, so you can use the chart for converting between decimal and binary systems.

• Binary Place Value Chart Binary Place Value Chart

The mystery number trick below is actually based on binary numbers. As you may know, each place in the binary system is a power of 2 (1, 2, 4, 8, 16, etc.). Since every decimal (base 10) number can be expressed as a binary number, each decimal number can therefore be expressed as a sum of a unique set of powers of 2. It is this concept that makes this trick work. You might notice that the largest decimal number on the cards is 63 which is also the largest 6-digit binary number (111111). The target position on each version of the mystery number trick contains the powers of 2 associated with the first 6 place values in the binary system (1, 2, 4, 8, 16, 32). Each of the 6 cards represents a specific place value. All 32 numbers on each card contain a 1 in the associated place when written in binary. Basically, when the "friend" identifies the cards that contain the mystery number, they are giving you a binary number that simply needs converting into a decimal number. Just for fun, we mixed up the numbers on the cards and the target position on versions C to J. Version A includes numbers in ascending order and version B includes numbers in descending order. The other versions (B to J) will be available once you click on the A version below.

• Binary Mystery Number Trick Mystery Number Trick
• Converting from Decimal Numbers to Other Base Number Systems Converting from Decimal to Binary Converting from Decimal to Octal Converting from Decimal to Hexadecimal Converting from Decimal to Various Other Base Sytems
• Converting from Binary Numbers to Other Base Number Systems Converting from Binary to Decimal Converting from Binary to Octal Converting from Binary to Hexadecimal Converting from Binary to Various Other Base Sytems
• Converting from Octal Numbers to Other Base Number Systems Converting from Octal to Decimal Converting from Octal to Binary Converting from Octal to Hexadecimal Converting from Octal to Various Other Base Sytems
• Converting from Hexadecimal Numbers to Other Base Number Systems Converting from Hexadecimal to Decimal Converting from Hexadecimal to Binary Converting from Hexadecimal to Octal Converting from Hexadecimal to Various Other Base Sytems
• Converting from Various Base Numbers to Other Base Number Systems Converting from Various Base Systems to Decimal Converting from Various Base Systems to Binary Converting from Various Base Systems to Octal Converting from Various Base Systems to Hexadecimal Converting Between Various Base Systems

Help with Converting Between Base Number Systems:

There are shortcuts for converting between some bases. For example, converting from binary to octal takes little effort since 8 is a power of 2. Each group of 3 digits in a binary number represents a single digit in an octal number. For example, 111 2 (the 2 stands for binary or base 2) is 7 8 (the 8 stands for octal or base 8). The simple way to convert binary numbers to octal numbers is to group the binary number into groups of three digits. For example, 111010101000111 2 could be written as 111 010 101 000 111. Converting each group into octal means multiplying the first digit of each group by 4, the second digit by 2 and the third digit by 1 then adding the results together. This will result in digits no larger than 7 (since 4 + 2 + 1 = 7) and the number will be converted to base 8. In octal, therefore, the number is 72507 8 . If you can express the octal numbers from 0 to 7 in binary, you can easily convert the other way. For example 7223 8 = 111010010011 2 since 7 is 111, 2 is 010, and 3 is 011 in binary.

A similar shortcut for converting between binary and base 4 numbers involves looking at binary numbers in groups of 2. Similarly, converting from base 3 to base 9 and base 4 to base 16 involves groups of two. Converting from binary to hexadecimal would involve groups of 4.

For other conversions, a commonly used tactic is to convert to decimal as an intermediate step since this is the base system that is probably ingrained in your brain, so it is much more intuitive. For example, converting from a base 5 number to a base 7 number would involve first converting the base 5 number to base 10. To convert, it is only necessary to know the place values of the system that you are converting from and to. In base 5, the lowest place value (furthest to the right) of whole numbers is 1 followed by 5, 25, 125 and so on. In base 7, the place values are 1, 7, 49, 343 and so on. First multiply the digits in the base 5 number by its place values, then divide the resulting decimal number by the base 7 place values and you will have your conversion. For example 4331 5 is expanded to (4 × 125) + (3 × 25) + (3 × 5) + (1 × 1) = 500 + 75 + 15 + 1 = 591 (in base 10). To continue into base 7, there are at least two ways, the second method is in the next paragraph. For simplicity's sake, take the largest base 7 place value that will divide into 591 at least once. In this case it is 343 which goes into 591 exactly once (1) with a remainder of 248. Divide the remainder by the next place value down, 49, to get (5) with a remainder of 3. Divide 3 by 7 which is (0) with a remainder of 3. Finally, divide by 1 which should leave no remainder, and it is (3) in this case. Put all those digits together and you should have your number in base 7: 1503 7 .

A method to convert directly from one base system to another involves knowing how to divide in the base system you want to convert from. It is fairly easy if you are familiar with the base system. Simply divide the number by the base you want to convert to (but express it in the original base system). Repeat until the division results in 0 with or without a remainder. Convert the remainders and put them in reverse order for the number in the new base system. For example, convert 3750 8 to hexadecimal (base 16). 16 in base 8 is 20 8 . The first step is to divide 3750 8 by 20 8 = 176 8 R 10 8 . Next, divide 176 8 by 20 8 to get 7 8 R 16 8 . Finally, 7 8 divided by 20 8 is 0 8 R 7 8 . Convert the remainders to base 16 (which you may have to think of in terms of decimal numbers, or you can use your fingers and some toes) and write the digits in reverse order. 7 8 is 7 16 , 16 8 is (14 in decimal) E 16 , and 10 8 is 8 16 . So, the number 3750 8 is 7A8 16 .

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Number Worksheets

Number worksheets make a great addition to math centers. Try creating your own math problems. Customize your worksheets by changing the font and text. 

• Number Matching
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• 1 + 5 = Handwriting Sheet

• 3 + 4 = Handwriting Sheet

• Two Handwriting Sheet

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• 1 1 1 Handwriting Sheet

• 1 + 1 = Handwriting Sheet

• 1 + 4 = Handwriting Sheet

• 1 2 3 4 5 6 Handwriting Sheet

• 10 Handwriting Sheet

• 10 ten Handwriting Sheet

• 100 Handwriting Sheet

• 100 Colorful Dots Handwriting Sheet

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• 100 Stickers Handwriting Sheet

• 100th Day Color by Number Handwriting Sheet

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Learning Numbers with Hands-On Number Activities

If your kids are learning numbers , then this list of number activities is perfect for you!

It is packed with fun, hands-on activities that will help children learn numbers!

Learning Numbers is Fun

In my experience, the best way for kids to learn numbers and practice counting is with fun, hands-on activities.

These number printables and activities will help with that! They are all interactive, engaging and give kids lots of practice with number recognition, counting, number composition, comparing numbers, number formation and more!

They are great for preschool or kindergarten math centers or for learning at home.

Number Recognition and Counting

Many of the resources on this page cover learning numbers 0-20, but you will also find activities for numbers up to 100 and even 120.

In addition, most of the activities include practice with number recognition and counting, but there are also activities that go beyond that and give kids practice with number formation, number composition, comparing numbers and more!

Beyond that, the resources on this page cover a huge variety of seasonal themes. Whether it is winter, fall, spring or summer, we have resources that will engage the kids while learning numbers.

All Our Number Activities in One Place

I've shared quite a few number activities here on Fun Learning for Kids. So I thought it would be cool to gather them all in one place for you to quickly access.

Now they will be all in one place and I will add to this page as I publish new ones. So stay tuned for even more fun ways to learn numbers.

So pick a number activity and have fun learning numbers!

Fish Decomposing Numbers Mats

Number Sense Worksheets – Number Activity Worksheets

Insect Decomposing Numbers Mat

Number Sense Search and Find Worksheets

Number Find and Cover Worksheets

Gingerbread Making Ten Math Activity

Numbers Four in a Row Board Game

Fall Leaf Missing Numbers Clip Cards Math Activity

Pumpkin Counting Task Cards – Show the Number Math Activity

Number Play Dough Task Cards for Numbers 0-20

Search and Trace Number Worksheets 0-20 Free Printable

Dot the Number Worksheets

Number Activity Strips Free Printable

Dot Number Activity Mats Free Printable

Spring Bee Roll and Cover Number Mats Free Printable

Flower Comparing Sets Math Activity

Easter Egg Roll and Cover the Number Free Printable

Make Ten Math Activity Free Printable

Teen Number Matching Clip Cards Free Printable

Valentine’s Day Roll and Cover the Number Free Printable

Number Tower Mats Free Printable

Free Printable Number Matching Clip Cards

Penguin Comparing Sets Clip Cards Free Printable

Snowman Number Spin & Build Mats Free Printable

Gingerbread 100 and 120 Chart Find and Cover the Number Game

Christmas Tree Roll and Cover Number Printable Mats

Gingerbread Roll and Cover the Number Mats Free Printable

Fall Leaf Comparing Sets Clip Cards Free Printable

Free Printable Number Cover Up Mats

Pumpkin Numbers Spin & Build Mats Free Printable

Pumpkin Roll and Cover Number Mats Free Printable

Free Printable Apple Roll and Cover Number Mats

Number Formation Cards Free Printable

Editable Back to School Four in a Row Printable Game

Sun Number Towers Printable Math Activity

Fish Roll and Cover Number Mats Free Printable

Flower Number Towers Free Printable Math Activity

Free Printable Easter Egg Number Towers Math Activity

Construction Number Towers Free Printable Math Activity

Snowman Count the Room Free Printable Math Activity

Snowball Number Towers Free Printable Math Activity

Snowman 100 and 120 Chart Find and Cover Printable Number Mats

Free Printable Snowman Comparing Sets Clip Cards

Gingerbread Number Towers Free Printable Math Activity

Fall Leaf Number Towers Free Printable Math Activity

Silly Monster Number Towers Free Printable Math Activity

Spider Count the Room Free Printable Math Activity

Pumpkin Number Towers Free Printable Math Activity

Pumpkin 100 & 120 Chart Printable Find and Cover Number Mats

Pumpkin Comparing Sets Clip Cards for Preschool and Kindergarten

Digital Apple Tree Making 10 Activity for Kindergarten

Free Digital Apple Tree Number Sense Find and Cover Activity

Digital Back to School Teen Numbers Math Activity

Digital Ocean Teen Numbers Activity

Editable Space Theme Board Game Free Printable

Digital Firefly Addition to 10 Math Activity

Editable Insect Four in a Row Game Free Printable

Editable Snowman Four in a Row Game Free Printable

Digital Fall Leaves Teen Numbers Activity

Rainbow Roll and Cover Math Game Printable for Preschool

Snowman Count and Cover Math Activity Printable for Preschool

Turkey Roll and Cover Printable Math Game

Fall Count and Cover Numbers Activity for Preschool

Silly Monster Roll and Cover Math Game Printable

Pumpkin Count and Cover Numbers Printable Mats

Insect Count and Cover Math Activity for Preschool

Rain Cloud Feed Me Numbers Math Activity Printables

Unicorn Count and Cover Counting Mats Printable

Gingerbread Count and Cover Free Printable Mats

Thanksgiving Turkey Count and Cover Printable Mats

Spider Count and Cover Math Activity Printable

Printable Feed Me Numbers Crayon Activity for Back to School

Pencil Spin and Cover Printable Math Game

Using Connect the Dots Printables to Teach Numbers

Roll and Dot the Number Math Activity Printable

Flower Roll and Color Printable Activity for Kids

St. Patrick’s Day Roll, Cover and Write Numbers Activity

Dinosaur Board Game Counting Free Printable Activity

Heart Roll and Cover Mats

Snowman Roll and Cover Mats

Ornament Roll and Cover Mats for Math and Literacy

Christmas Tree Counting Math Activity

Cookie Math Game: A Roll and Cover Free Printable

Hands-On Number Activities for Preschoolers

Counting Bears Math Game and Activities

Fall Pumpkin Counting Mats

Free Number Sense Activity Mats Printable

Counting and Number Matching with Paper Cups

Free Printable Flower Number Matching Activity

Mitten Math Activity for Winter – Roll and Color Game

Candy Cane Counting Activity with Beads

Christmas Tree Math Activity – A Roll and Cover Game

Turkey Counting Mats with Free Printables

Spider Web Counting Free Printable Mats

Apple Tree Number Matching Free Printable

Free Fall Tree Counting Mats for Numbers 1-20

Counting Bear Number Strips and Color Matching Activity

Ocean Counting Mats

Teddy Bear Button Counting Activity

Christmas Tree Number Matching Game

Apple Tree Roll and Cover Math Game

Learning Numbers with Water Balloon Basketball

Butterflies and Flowers Number Line Activity

Dot the Number Mazes

Smack the Number Counting Game

Number Recognition: Fall Tree Number Matching

Number Recognition and Counting with Play Dough

I hope you were able to find some fun number games and activities to try with your kids who are learning numbers! Don't forget to bookmark the page and come back often for number activities for kids!

• Kindergarten Sight Words
• Kindergarten Curriculum
• Kindergarten Worksheets
• Kindergarten Math Worksheets

Kindergarten Number Worksheets

Free Kindergarten Number Worksheets for students to work hands-on on number formation, number recognition, stroke order, counting, and number tracing. Review and practice are the keys when it comes to number fluency, and these free printable number worksheets will reinforce your student’s number readiness and prepare your kindergartener for higher math skills.

These worksheets can be used to spotlight a Number of the Day for numbers 1 through 30 and include writing the number word as well as teaching the ASL (American Sign Language) for each number.

Think your kindergartener is ready for more? Check out our Interactive Math Notebook for Kindergarten offering a full curriculum of hands-on math activities to engage your student all year long.

Kindergarten Number of the Day Worksheets

Number worksheets 1-15.

Number 1 Worksheet

Number 2 Worksheet

Number 3 Worksheet

Number 4 Worksheet

Number 5 Worksheet

Number 6 Worksheet

Number 7 Worksheet

Number 8 Worksheet

Number 9 Worksheet

Number 10 Worksheet

Number 11 Worksheet

Number 12 Worksheet

Number 13 Worksheet

Number 14 Worksheet

Number 15 Worksheet

Number worksheets 16-30.

Number 16 Worksheet

Number 17 Worksheet

Number 18 Worksheet

Number 19 Worksheet

Number 20 Worksheet

Number 21 Worksheet

Number 22 Worksheet

Number 23 Worksheet

Number 24 Worksheet

Number 25 Worksheet

Number 26 Worksheet

Number 27 Worksheet

Number 28 Worksheet

Number 29 Worksheet

Number 30 Worksheet

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Numbers: 1 - 10

Numbers: 1 - 20

Numbers: 1 - 100

Big numbers - exercises

Ordinal numbers

Worksheets - handouts

Numbers - worksheets

Exercises - pdf handouts.

• Numbers 1-20: pdf worksheet
• Numbers 1-10 : worksheet pdf
• Numbers 1-12 : handouts
• Numbers 11-20: handout
• Numbers 11-20: worksheet pdf
• Numbers 1-20 : worksheet
• Numbers 0-20 : worksheet
• Numbers 1-100: write pdf
• Numbers 10-100: exercises
• Numbers: 1 to 100 : worksheet
• Ordinal numbers - pdf handout
• Ordinal numbers - handout
• Ordinal numbers - worksheet
• Ordinal numbers - word search
• Ordinal numbers and months

Vocabulary resources: print

• Cardinal and ordinal - pdf
• Numbers 1-20: poster
• Cardinal and ordinal - list
• Audio - choose difficulty
• Ordinal: audio + activities

• Number Charts
• Multiplication
• Long division
• Basic operations
• Telling time
• Place value
• Roman numerals
• Fractions & related
• Add, subtract, multiply,   and divide fractions
• Mixed numbers vs. fractions
• Equivalent fractions
• Prime factorization & factors
• Fraction Calculator
• Decimals & Percent
• Add, subtract, multiply,   and divide decimals
• Fractions to decimals
• Percents to decimals
• Percentage of a number
• Percent word problems
• Classify triangles
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• Circle worksheets
• Area & perimeter of rectangles
• Area of triangles & polygons
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→ → Number charts . You can decide how much of the chart is pre-filled, the border color, skip-counting step, and so on. The charts can be made in html or PDF format (both are easy to print). use a to practice counting backwards. Below you will find some common charts both in html and PDF format. With the exception of the two top ones (which are static), they are randomly generated each time you click on the button. The answer key is automatically included on the second page. in the browser window (html only). Scroll down the page to the generator if you want to customize the charts yourself. An empty 100-chart     A completely filled 100-chart         100-chart - half of the numbers are missing     Generate several charts for children to fill in, because each time the numbers that are missing will be different. 100-chart - 70% of the numbers are missing     Generate several charts for children to fill in, because each time the numbers that are missing will be different. 100-chart - 70% of the numbers are missing; even numbers are highlighted     Multiples of 3 chart; every third number is highlighted in yellow     Multiples of 4 chart; every fourth number is highlighted in yellow     Fill in even numbers from 0 to 200.     Fill in odd numbers from 1 to 201 - 70% of the numbers are missing     Count by 4s from 0 to 260     Count by fives from 5 to 500     Count backwards from 100 to 0     Count by 10s     Skip-count by ten, starting at 6     Count backwards by 2s from 200 to 0     Count by 100 starting at 300     Count by 150 starting at 0     List of multiples of 3 (which numbers are colored yellow?)    Count by 50 starting at 10       Count from 1 to 100, every fourth number is colored yellow     Interactive 100-chart This interactive tool allows children to explore a 100-chart or a teacher to illustrate various math concepts, such as even and odd numbers, multiples of 5 and of 10, and skip-counting by 2, 3, 4, 5, and so on. Number Chart Worksheet Generator Starting number: Font:     Font Size:  Additional title & instructions  (HTML allowed): If the chart flows over the width of the page, you need to reduce font size, have less numbers on each row, or print in landscape (html format). 1,961 Numbers English ESL worksheets pdf & doc 1.1 Real Numbers: Algebra Essentials Learning objectives. In this section, you will: Classify a real number as a natural, whole, integer, rational, or irrational number. Perform calculations using order of operations. Use the following properties of real numbers: commutative, associative, distributive, inverse, and identity. Evaluate algebraic expressions. Simplify algebraic expressions. It is often said that mathematics is the language of science. If this is true, then an essential part of the language of mathematics is numbers. The earliest use of numbers occurred 100 centuries ago in the Middle East to count, or enumerate items. Farmers, cattle herders, and traders used tokens, stones, or markers to signify a single quantity—a sheaf of grain, a head of livestock, or a fixed length of cloth, for example. Doing so made commerce possible, leading to improved communications and the spread of civilization. Three to four thousand years ago, Egyptians introduced fractions. They first used them to show reciprocals. Later, they used them to represent the amount when a quantity was divided into equal parts. But what if there were no cattle to trade or an entire crop of grain was lost in a flood? How could someone indicate the existence of nothing? From earliest times, people had thought of a “base state” while counting and used various symbols to represent this null condition. However, it was not until about the fifth century CE in India that zero was added to the number system and used as a numeral in calculations. Clearly, there was also a need for numbers to represent loss or debt. In India, in the seventh century CE, negative numbers were used as solutions to mathematical equations and commercial debts. The opposites of the counting numbers expanded the number system even further. Because of the evolution of the number system, we can now perform complex calculations using these and other categories of real numbers. In this section, we will explore sets of numbers, calculations with different kinds of numbers, and the use of numbers in expressions. Classifying a Real Number The numbers we use for counting, or enumerating items, are the natural numbers : 1, 2, 3, 4, 5, and so on. We describe them in set notation as { 1 , 2 , 3 , ... } { 1 , 2 , 3 , ... } where the ellipsis (…) indicates that the numbers continue to infinity. The natural numbers are, of course, also called the counting numbers . Any time we enumerate the members of a team, count the coins in a collection, or tally the trees in a grove, we are using the set of natural numbers. The set of whole numbers is the set of natural numbers plus zero: { 0 , 1 , 2 , 3 , ... } . { 0 , 1 , 2 , 3 , ... } . The set of integers adds the opposites of the natural numbers to the set of whole numbers: { ... , −3 , −2 , −1 , 0 , 1 , 2 , 3 , ... } . { ... , −3 , −2 , −1 , 0 , 1 , 2 , 3 , ... } . It is useful to note that the set of integers is made up of three distinct subsets: negative integers, zero, and positive integers. In this sense, the positive integers are just the natural numbers. Another way to think about it is that the natural numbers are a subset of the integers. The set of rational numbers is written as { m n | m and  n are integers and  n ≠ 0 } . { m n | m and  n are integers and  n ≠ 0 } . Notice from the definition that rational numbers are fractions (or quotients) containing integers in both the numerator and the denominator, and the denominator is never 0. We can also see that every natural number, whole number, and integer is a rational number with a denominator of 1. Because they are fractions, any rational number can also be expressed as a terminating or repeating decimal. Any rational number can be represented as either: ⓐ a terminating decimal: 15 8 = 1.875 , 15 8 = 1.875 , or ⓑ a repeating decimal: 4 11 = 0.36363636 … = 0. 36 ¯ 4 11 = 0.36363636 … = 0. 36 ¯ We use a line drawn over the repeating block of numbers instead of writing the group multiple times. Writing Integers as Rational Numbers Write each of the following as a rational number. Write a fraction with the integer in the numerator and 1 in the denominator. ⓐ 7 = 7 1 7 = 7 1 ⓑ 0 = 0 1 0 = 0 1 ⓒ −8 = − 8 1 −8 = − 8 1 Identifying Rational Numbers Write each of the following rational numbers as either a terminating or repeating decimal. ⓐ − 5 7 − 5 7 ⓑ 15 5 15 5 ⓒ 13 25 13 25 Write each fraction as a decimal by dividing the numerator by the denominator. ⓐ − 5 7 = −0. 714285 ——— , − 5 7 = −0. 714285 ——— , a repeating decimal ⓑ 15 5 = 3 15 5 = 3 (or 3.0), a terminating decimal ⓒ 13 25 = 0.52 , 13 25 = 0.52 , a terminating decimal ⓐ 68 17 68 17 ⓑ 8 13 8 13 ⓒ − 17 20 − 17 20 Irrational Numbers At some point in the ancient past, someone discovered that not all numbers are rational numbers. A builder, for instance, may have found that the diagonal of a square with unit sides was not 2 or even 3 2 , 3 2 , but was something else. Or a garment maker might have observed that the ratio of the circumference to the diameter of a roll of cloth was a little bit more than 3, but still not a rational number. Such numbers are said to be irrational because they cannot be written as fractions. These numbers make up the set of irrational numbers . Irrational numbers cannot be expressed as a fraction of two integers. It is impossible to describe this set of numbers by a single rule except to say that a number is irrational if it is not rational. So we write this as shown. Differentiating Rational and Irrational Numbers Determine whether each of the following numbers is rational or irrational. If it is rational, determine whether it is a terminating or repeating decimal. ⓑ 33 9 33 9 ⓓ 17 34 17 34 ⓔ 0.3033033303333 … 0.3033033303333 … ⓐ 25 : 25 : This can be simplified as 25 = 5. 25 = 5. Therefore, 25 25 is rational. So, 33 9 33 9 is rational and a repeating decimal. ⓒ 11 : 11 11 : 11 is irrational because 11 is not a perfect square and 11 11 cannot be expressed as a fraction. So, 17 34 17 34 is rational and a terminating decimal. ⓔ 0.3033033303333 … 0.3033033303333 … is not a terminating decimal. Also note that there is no repeating pattern because the group of 3s increases each time. Therefore it is neither a terminating nor a repeating decimal and, hence, not a rational number. It is an irrational number. ⓐ 7 77 7 77 ⓒ 4.27027002700027 … 4.27027002700027 … ⓓ 91 13 91 13 Real Numbers Given any number n , we know that n is either rational or irrational. It cannot be both. The sets of rational and irrational numbers together make up the set of real numbers . As we saw with integers, the real numbers can be divided into three subsets: negative real numbers, zero, and positive real numbers. Each subset includes fractions, decimals, and irrational numbers according to their algebraic sign (+ or –). Zero is considered neither positive nor negative. The real numbers can be visualized on a horizontal number line with an arbitrary point chosen as 0, with negative numbers to the left of 0 and positive numbers to the right of 0. A fixed unit distance is then used to mark off each integer (or other basic value) on either side of 0. Any real number corresponds to a unique position on the number line.The converse is also true: Each location on the number line corresponds to exactly one real number. This is known as a one-to-one correspondence. We refer to this as the real number line as shown in Figure 1 . Classifying Real Numbers Classify each number as either positive or negative and as either rational or irrational. Does the number lie to the left or the right of 0 on the number line? ⓐ − 10 3 − 10 3 ⓒ − 289 − 289 ⓓ −6 π −6 π ⓔ 0.615384615384 … 0.615384615384 … ⓐ − 10 3 − 10 3 is negative and rational. It lies to the left of 0 on the number line. ⓑ 5 5 is positive and irrational. It lies to the right of 0. ⓒ − 289 = − 17 2 = −17 − 289 = − 17 2 = −17 is negative and rational. It lies to the left of 0. ⓓ −6 π −6 π is negative and irrational. It lies to the left of 0. ⓔ 0.615384615384 … 0.615384615384 … is a repeating decimal so it is rational and positive. It lies to the right of 0. ⓑ −11.411411411 … −11.411411411 … ⓒ 47 19 47 19 ⓓ − 5 2 − 5 2 ⓔ 6.210735 6.210735 Sets of Numbers as Subsets Beginning with the natural numbers, we have expanded each set to form a larger set, meaning that there is a subset relationship between the sets of numbers we have encountered so far. These relationships become more obvious when seen as a diagram, such as Figure 2 . Sets of Numbers The set of natural numbers includes the numbers used for counting: { 1 , 2 , 3 , ... } . { 1 , 2 , 3 , ... } . The set of whole numbers is the set of natural numbers plus zero: { 0 , 1 , 2 , 3 , ... } . { 0 , 1 , 2 , 3 , ... } . The set of integers adds the negative natural numbers to the set of whole numbers: { ... , −3 , −2 , −1 , 0 , 1 , 2 , 3 , ... } . { ... , −3 , −2 , −1 , 0 , 1 , 2 , 3 , ... } . The set of rational numbers includes fractions written as { m n | m and  n are integers and  n ≠ 0 } . { m n | m and  n are integers and  n ≠ 0 } . The set of irrational numbers is the set of numbers that are not rational, are nonrepeating, and are nonterminating: { h | h is not a rational number } . { h | h is not a rational number } . Differentiating the Sets of Numbers Classify each number as being a natural number ( N ), whole number ( W ), integer ( I ), rational number ( Q ), and/or irrational number ( Q′ ). ⓔ 3.2121121112 … 3.2121121112 … a. X X X X b. X c. X d. –6 X X e. 3.2121121112... X ⓐ − 35 7 − 35 7 ⓔ 4.763763763 … 4.763763763 … Performing Calculations Using the Order of Operations When we multiply a number by itself, we square it or raise it to a power of 2. For example, 4 2 = 4 ⋅ 4 = 16. 4 2 = 4 ⋅ 4 = 16. We can raise any number to any power. In general, the exponential notation a n a n means that the number or variable a a is used as a factor n n times. In this notation, a n a n is read as the n th power of a , a , or a a to the n n where a a is called the base and n n is called the exponent . A term in exponential notation may be part of a mathematical expression, which is a combination of numbers and operations. For example, 24 + 6 ⋅ 2 3 − 4 2 24 + 6 ⋅ 2 3 − 4 2 is a mathematical expression. To evaluate a mathematical expression, we perform the various operations. However, we do not perform them in any random order. We use the order of operations . This is a sequence of rules for evaluating such expressions. Recall that in mathematics we use parentheses ( ), brackets [ ], and braces { } to group numbers and expressions so that anything appearing within the symbols is treated as a unit. Additionally, fraction bars, radicals, and absolute value bars are treated as grouping symbols. When evaluating a mathematical expression, begin by simplifying expressions within grouping symbols. The next step is to address any exponents or radicals. Afterward, perform multiplication and division from left to right and finally addition and subtraction from left to right. Let’s take a look at the expression provided. There are no grouping symbols, so we move on to exponents or radicals. The number 4 is raised to a power of 2, so simplify 4 2 4 2 as 16. Next, perform multiplication or division, left to right. Lastly, perform addition or subtraction, left to right. Therefore, 24 + 6 ⋅ 2 3 − 4 2 = 12. 24 + 6 ⋅ 2 3 − 4 2 = 12. For some complicated expressions, several passes through the order of operations will be needed. For instance, there may be a radical expression inside parentheses that must be simplified before the parentheses are evaluated. Following the order of operations ensures that anyone simplifying the same mathematical expression will get the same result. Order of Operations Operations in mathematical expressions must be evaluated in a systematic order, which can be simplified using the acronym PEMDAS : P (arentheses) E (xponents) M (ultiplication) and D (ivision) A (ddition) and S (ubtraction) Given a mathematical expression, simplify it using the order of operations. Step 1. Simplify any expressions within grouping symbols. Step 2. Simplify any expressions containing exponents or radicals. Step 3. Perform any multiplication and division in order, from left to right. Step 4. Perform any addition and subtraction in order, from left to right. Using the Order of Operations Use the order of operations to evaluate each of the following expressions. ⓐ ( 3 ⋅ 2 ) 2 − 4 ( 6 + 2 ) ( 3 ⋅ 2 ) 2 − 4 ( 6 + 2 ) ⓑ 5 2 − 4 7 − 11 − 2 5 2 − 4 7 − 11 − 2 ⓒ 6 − | 5 − 8 | + 3 ( 4 − 1 ) 6 − | 5 − 8 | + 3 ( 4 − 1 ) ⓓ 14 − 3 ⋅ 2 2 ⋅ 5 − 3 2 14 − 3 ⋅ 2 2 ⋅ 5 − 3 2 ⓔ 7 ( 5 ⋅ 3 ) − 2 [ ( 6 − 3 ) − 4 2 ] + 1 7 ( 5 ⋅ 3 ) − 2 [ ( 6 − 3 ) − 4 2 ] + 1 ⓐ ( 3 ⋅ 2 ) 2 − 4 ( 6 + 2 ) = ( 6 ) 2 − 4 ( 8 ) Simplify parentheses. = 36 − 4 ( 8 ) Simplify exponent. = 36 − 32 Simplify multiplication. = 4 Simplify subtraction. ( 3 ⋅ 2 ) 2 − 4 ( 6 + 2 ) = ( 6 ) 2 − 4 ( 8 ) Simplify parentheses. = 36 − 4 ( 8 ) Simplify exponent. = 36 − 32 Simplify multiplication. = 4 Simplify subtraction. Note that in the first step, the radical is treated as a grouping symbol, like parentheses. Also, in the third step, the fraction bar is considered a grouping symbol so the numerator is considered to be grouped. ⓒ 6 − | 5 − 8 | + 3 | 4 − 1 | = 6 − | −3 | + 3 ( 3 ) Simplify inside grouping symbols. = 6 - ( 3 ) + 3 ( 3 ) Simplify absolute value. = 6 - 3 + 9 Simplify multiplication. = 12 Simplify addition. 6 − | 5 − 8 | + 3 | 4 − 1 | = 6 − | −3 | + 3 ( 3 ) Simplify inside grouping symbols. = 6 - ( 3 ) + 3 ( 3 ) Simplify absolute value. = 6 - 3 + 9 Simplify multiplication. = 12 Simplify addition. In this example, the fraction bar separates the numerator and denominator, which we simplify separately until the last step. ⓔ 7 ( 5 ⋅ 3 ) − 2 [ ( 6 − 3 ) − 4 2 ] + 1 = 7 ( 15 ) − 2 [ ( 3 ) − 4 2 ] + 1 Simplify inside parentheses. = 7 ( 15 ) − 2 ( 3 − 16 ) + 1 Simplify exponent. = 7 ( 15 ) − 2 ( −13 ) + 1 Subtract. = 105 + 26 + 1 Multiply. = 132 Add. 7 ( 5 ⋅ 3 ) − 2 [ ( 6 − 3 ) − 4 2 ] + 1 = 7 ( 15 ) − 2 [ ( 3 ) − 4 2 ] + 1 Simplify inside parentheses. = 7 ( 15 ) − 2 ( 3 − 16 ) + 1 Simplify exponent. = 7 ( 15 ) − 2 ( −13 ) + 1 Subtract. = 105 + 26 + 1 Multiply. = 132 Add. ⓐ 5 2 − 4 2 + 7 ( 5 − 4 ) 2 5 2 − 4 2 + 7 ( 5 − 4 ) 2 ⓑ 1 + 7 ⋅ 5 − 8 ⋅ 4 9 − 6 1 + 7 ⋅ 5 − 8 ⋅ 4 9 − 6 ⓒ | 1.8 − 4.3 | + 0.4 15 + 10 | 1.8 − 4.3 | + 0.4 15 + 10 ⓓ 1 2 [ 5 ⋅ 3 2 − 7 2 ] + 1 3 ⋅ 9 2 1 2 [ 5 ⋅ 3 2 − 7 2 ] + 1 3 ⋅ 9 2 ⓔ [ ( 3 − 8 ) 2 − 4 ] − ( 3 − 8 ) [ ( 3 − 8 ) 2 − 4 ] − ( 3 − 8 ) Using Properties of Real Numbers For some activities we perform, the order of certain operations does not matter, but the order of other operations does. For example, it does not make a difference if we put on the right shoe before the left or vice-versa. However, it does matter whether we put on shoes or socks first. The same thing is true for operations in mathematics. Commutative Properties The commutative property of addition states that numbers may be added in any order without affecting the sum. We can better see this relationship when using real numbers. Similarly, the commutative property of multiplication states that numbers may be multiplied in any order without affecting the product. Again, consider an example with real numbers. It is important to note that neither subtraction nor division is commutative. For example, 17 − 5 17 − 5 is not the same as 5 − 17. 5 − 17. Similarly, 20 ÷ 5 ≠ 5 ÷ 20. 20 ÷ 5 ≠ 5 ÷ 20. Associative Properties The associative property of multiplication tells us that it does not matter how we group numbers when multiplying. We can move the grouping symbols to make the calculation easier, and the product remains the same. Consider this example. The associative property of addition tells us that numbers may be grouped differently without affecting the sum. This property can be especially helpful when dealing with negative integers. Consider this example. Are subtraction and division associative? Review these examples. As we can see, neither subtraction nor division is associative. Distributive Property The distributive property states that the product of a factor times a sum is the sum of the factor times each term in the sum. This property combines both addition and multiplication (and is the only property to do so). Let us consider an example. Note that 4 is outside the grouping symbols, so we distribute the 4 by multiplying it by 12, multiplying it by –7, and adding the products. To be more precise when describing this property, we say that multiplication distributes over addition. The reverse is not true, as we can see in this example. A special case of the distributive property occurs when a sum of terms is subtracted. For example, consider the difference 12 − ( 5 + 3 ) . 12 − ( 5 + 3 ) . We can rewrite the difference of the two terms 12 and ( 5 + 3 ) ( 5 + 3 ) by turning the subtraction expression into addition of the opposite. So instead of subtracting ( 5 + 3 ) , ( 5 + 3 ) , we add the opposite. Now, distribute −1 −1 and simplify the result. This seems like a lot of trouble for a simple sum, but it illustrates a powerful result that will be useful once we introduce algebraic terms. To subtract a sum of terms, change the sign of each term and add the results. With this in mind, we can rewrite the last example. Identity Properties The identity property of addition states that there is a unique number, called the additive identity (0) that, when added to a number, results in the original number. The identity property of multiplication states that there is a unique number, called the multiplicative identity (1) that, when multiplied by a number, results in the original number. For example, we have ( −6 ) + 0 = −6 ( −6 ) + 0 = −6 and 23 ⋅ 1 = 23. 23 ⋅ 1 = 23. There are no exceptions for these properties; they work for every real number, including 0 and 1. Inverse Properties The inverse property of addition states that, for every real number a , there is a unique number, called the additive inverse (or opposite), denoted by (− a ), that, when added to the original number, results in the additive identity, 0. For example, if a = −8 , a = −8 , the additive inverse is 8, since ( −8 ) + 8 = 0. ( −8 ) + 8 = 0. The inverse property of multiplication holds for all real numbers except 0 because the reciprocal of 0 is not defined. The property states that, for every real number a , there is a unique number, called the multiplicative inverse (or reciprocal), denoted 1 a , 1 a , that, when multiplied by the original number, results in the multiplicative identity, 1. For example, if a = − 2 3 , a = − 2 3 , the reciprocal, denoted 1 a , 1 a , is − 3 2 − 3 2 because Properties of Real Numbers The following properties hold for real numbers a , b , and c . Addition Multiplication There exists a unique real number called the additive identity, 0, such that, for any real number There exists a unique real number called the multiplicative identity, 1, such that, for any real number Every real number a has an additive inverse, or opposite, denoted , such that Every nonzero real number has a multiplicative inverse, or reciprocal, denoted such that Use the properties of real numbers to rewrite and simplify each expression. State which properties apply. ⓐ 3 ⋅ 6 + 3 ⋅ 4 3 ⋅ 6 + 3 ⋅ 4 ⓑ ( 5 + 8 ) + ( −8 ) ( 5 + 8 ) + ( −8 ) ⓒ 6 − ( 15 + 9 ) 6 − ( 15 + 9 ) ⓓ 4 7 ⋅ ( 2 3 ⋅ 7 4 ) 4 7 ⋅ ( 2 3 ⋅ 7 4 ) ⓔ 100 ⋅ [ 0.75 + ( −2.38 ) ] 100 ⋅ [ 0.75 + ( −2.38 ) ] ⓐ 3 ⋅ 6 + 3 ⋅ 4 = 3 ⋅ ( 6 + 4 ) Distributive property. = 3 ⋅ 10 Simplify. = 30 Simplify. 3 ⋅ 6 + 3 ⋅ 4 = 3 ⋅ ( 6 + 4 ) Distributive property. = 3 ⋅ 10 Simplify. = 30 Simplify. ⓑ ( 5 + 8 ) + ( −8 ) = 5 + [ 8 + ( −8 ) ] Associative property of addition. = 5 + 0 Inverse property of addition. = 5 Identity property of addition. ( 5 + 8 ) + ( −8 ) = 5 + [ 8 + ( −8 ) ] Associative property of addition. = 5 + 0 Inverse property of addition. = 5 Identity property of addition. ⓒ 6 − ( 15 + 9 ) = 6 + [ ( −15 ) + ( −9 ) ] Distributive property. = 6 + ( −24 ) Simplify. = −18 Simplify. 6 − ( 15 + 9 ) = 6 + [ ( −15 ) + ( −9 ) ] Distributive property. = 6 + ( −24 ) Simplify. = −18 Simplify. ⓓ 4 7 ⋅ ( 2 3 ⋅ 7 4 ) = 4 7 ⋅ ( 7 4 ⋅ 2 3 ) Commutative property of multiplication. = ( 4 7 ⋅ 7 4 ) ⋅ 2 3 Associative property of multiplication. = 1 ⋅ 2 3 Inverse property of multiplication. = 2 3 Identity property of multiplication. 4 7 ⋅ ( 2 3 ⋅ 7 4 ) = 4 7 ⋅ ( 7 4 ⋅ 2 3 ) Commutative property of multiplication. = ( 4 7 ⋅ 7 4 ) ⋅ 2 3 Associative property of multiplication. = 1 ⋅ 2 3 Inverse property of multiplication. = 2 3 Identity property of multiplication. ⓔ 100 ⋅ [ 0.75 + ( − 2.38 ) ] = 100 ⋅ 0.75 + 100 ⋅ ( −2.38 ) Distributive property. = 75 + ( −238 ) Simplify. = −163 Simplify. 100 ⋅ [ 0.75 + ( − 2.38 ) ] = 100 ⋅ 0.75 + 100 ⋅ ( −2.38 ) Distributive property. = 75 + ( −238 ) Simplify. = −163 Simplify. ⓐ ( − 23 5 ) ⋅ [ 11 ⋅ ( − 5 23 ) ] ( − 23 5 ) ⋅ [ 11 ⋅ ( − 5 23 ) ] ⓑ 5 ⋅ ( 6.2 + 0.4 ) 5 ⋅ ( 6.2 + 0.4 ) ⓒ 18 − ( 7 −15 ) 18 − ( 7 −15 ) ⓓ 17 18 + [ 4 9 + ( − 17 18 ) ] 17 18 + [ 4 9 + ( − 17 18 ) ] ⓔ 6 ⋅ ( −3 ) + 6 ⋅ 3 6 ⋅ ( −3 ) + 6 ⋅ 3 Evaluating Algebraic Expressions So far, the mathematical expressions we have seen have involved real numbers only. In mathematics, we may see expressions such as x + 5 , 4 3 π r 3 , x + 5 , 4 3 π r 3 , or 2 m 3 n 2 . 2 m 3 n 2 . In the expression x + 5 , x + 5 , 5 is called a constant because it does not vary and x is called a variable because it does. (In naming the variable, ignore any exponents or radicals containing the variable.) An algebraic expression is a collection of constants and variables joined together by the algebraic operations of addition, subtraction, multiplication, and division. We have already seen some real number examples of exponential notation, a shorthand method of writing products of the same factor. When variables are used, the constants and variables are treated the same way. In each case, the exponent tells us how many factors of the base to use, whether the base consists of constants or variables. Any variable in an algebraic expression may take on or be assigned different values. When that happens, the value of the algebraic expression changes. To evaluate an algebraic expression means to determine the value of the expression for a given value of each variable in the expression. Replace each variable in the expression with the given value, then simplify the resulting expression using the order of operations. If the algebraic expression contains more than one variable, replace each variable with its assigned value and simplify the expression as before. Describing Algebraic Expressions List the constants and variables for each algebraic expression. ⓑ 4 3 π r 3 4 3 π r 3 ⓒ 2 m 3 n 2 2 m 3 n 2 Constants Variables a. + 5 5 b. c. 2 ⓐ 2 π r ( r + h ) 2 π r ( r + h ) ⓑ 2( L + W ) ⓒ 4 y 3 + y 4 y 3 + y Evaluating an Algebraic Expression at Different Values Evaluate the expression 2 x − 7 2 x − 7 for each value for x. ⓐ x = 0 x = 0 ⓑ x = 1 x = 1 ⓒ x = 1 2 x = 1 2 ⓓ x = −4 x = −4 ⓐ Substitute 0 for x . x . 2 x − 7 = 2 ( 0 ) − 7 = 0 − 7 = −7 2 x − 7 = 2 ( 0 ) − 7 = 0 − 7 = −7 ⓑ Substitute 1 for x . x . 2 x − 7 = 2 ( 1 ) − 7 = 2 − 7 = −5 2 x − 7 = 2 ( 1 ) − 7 = 2 − 7 = −5 ⓒ Substitute 1 2 1 2 for x . x . 2 x − 7 = 2 ( 1 2 ) − 7 = 1 − 7 = −6 2 x − 7 = 2 ( 1 2 ) − 7 = 1 − 7 = −6 ⓓ Substitute −4 −4 for x . x . 2 x − 7 = 2 ( − 4 ) − 7 = − 8 − 7 = −15 2 x − 7 = 2 ( − 4 ) − 7 = − 8 − 7 = −15 Evaluate the expression 11 − 3 y 11 − 3 y for each value for y. ⓐ y = 2 y = 2 ⓑ y = 0 y = 0 ⓒ y = 2 3 y = 2 3 ⓓ y = −5 y = −5 Evaluate each expression for the given values. ⓐ x + 5 x + 5 for x = −5 x = −5 ⓑ t 2 t −1 t 2 t −1 for t = 10 t = 10 ⓒ 4 3 π r 3 4 3 π r 3 for r = 5 r = 5 ⓓ a + a b + b a + a b + b for a = 11 , b = −8 a = 11 , b = −8 ⓔ 2 m 3 n 2 2 m 3 n 2 for m = 2 , n = 3 m = 2 , n = 3 ⓐ Substitute −5 −5 for x . x . x + 5 = ( −5 ) + 5 = 0 x + 5 = ( −5 ) + 5 = 0 ⓑ Substitute 10 for t . t . t 2 t − 1 = ( 10 ) 2 ( 10 ) − 1 = 10 20 − 1 = 10 19 t 2 t − 1 = ( 10 ) 2 ( 10 ) − 1 = 10 20 − 1 = 10 19 ⓒ Substitute 5 for r . r . 4 3 π r 3 = 4 3 π ( 5 ) 3 = 4 3 π ( 125 ) = 500 3 π 4 3 π r 3 = 4 3 π ( 5 ) 3 = 4 3 π ( 125 ) = 500 3 π ⓓ Substitute 11 for a a and –8 for b . b . a + a b + b = ( 11 ) + ( 11 ) ( −8 ) + ( −8 ) = 11 − 88 − 8 = −85 a + a b + b = ( 11 ) + ( 11 ) ( −8 ) + ( −8 ) = 11 − 88 − 8 = −85 ⓔ Substitute 2 for m m and 3 for n . n . 2 m 3 n 2 = 2 ( 2 ) 3 ( 3 ) 2 = 2 ( 8 ) ( 9 ) = 144 = 12 2 m 3 n 2 = 2 ( 2 ) 3 ( 3 ) 2 = 2 ( 8 ) ( 9 ) = 144 = 12 ⓐ y + 3 y − 3 y + 3 y − 3 for y = 5 y = 5 ⓑ 7 − 2 t 7 − 2 t for t = −2 t = −2 ⓒ 1 3 π r 2 1 3 π r 2 for r = 11 r = 11 ⓓ ( p 2 q ) 3 ( p 2 q ) 3 for p = −2 , q = 3 p = −2 , q = 3 ⓔ 4 ( m − n ) − 5 ( n − m ) 4 ( m − n ) − 5 ( n − m ) for m = 2 3 , n = 1 3 m = 2 3 , n = 1 3 An equation is a mathematical statement indicating that two expressions are equal. The expressions can be numerical or algebraic. The equation is not inherently true or false, but only a proposition. The values that make the equation true, the solutions, are found using the properties of real numbers and other results. For example, the equation 2 x + 1 = 7 2 x + 1 = 7 has the solution of 3 because when we substitute 3 for x x in the equation, we obtain the true statement 2 ( 3 ) + 1 = 7. 2 ( 3 ) + 1 = 7. A formula is an equation expressing a relationship between constant and variable quantities. Very often, the equation is a means of finding the value of one quantity (often a single variable) in terms of another or other quantities. One of the most common examples is the formula for finding the area A A of a circle in terms of the radius r r of the circle: A = π r 2 . A = π r 2 . For any value of r , r , the area A A can be found by evaluating the expression π r 2 . π r 2 . Using a Formula A right circular cylinder with radius r r and height h h has the surface area S S (in square units) given by the formula S = 2 π r ( r + h ) . S = 2 π r ( r + h ) . See Figure 3 . Find the surface area of a cylinder with radius 6 in. and height 9 in. Leave the answer in terms of π . π . Evaluate the expression 2 π r ( r + h ) 2 π r ( r + h ) for r = 6 r = 6 and h = 9. h = 9. The surface area is 180 π 180 π square inches. A photograph with length L and width W is placed in a mat of width 8 centimeters (cm). The area of the mat (in square centimeters, or cm 2 ) is found to be A = ( L + 16 ) ( W + 16 ) − L ⋅ W . A = ( L + 16 ) ( W + 16 ) − L ⋅ W . See Figure 4 . Find the area of a mat for a photograph with length 32 cm and width 24 cm. Simplifying Algebraic Expressions Sometimes we can simplify an algebraic expression to make it easier to evaluate or to use in some other way. To do so, we use the properties of real numbers. We can use the same properties in formulas because they contain algebraic expressions. Simplify each algebraic expression. ⓐ 3 x − 2 y + x − 3 y − 7 3 x − 2 y + x − 3 y − 7 ⓑ 2 r − 5 ( 3 − r ) + 4 2 r − 5 ( 3 − r ) + 4 ⓒ ( 4 t − 5 4 s ) − ( 2 3 t + 2 s ) ( 4 t − 5 4 s ) − ( 2 3 t + 2 s ) ⓓ 2 m n − 5 m + 3 m n + n 2 m n − 5 m + 3 m n + n ⓐ 3 x − 2 y + x − 3 y − 7 = 3 x + x − 2 y − 3 y − 7 Commutative property of addition. = 4 x − 5 y − 7 Simplify. 3 x − 2 y + x − 3 y − 7 = 3 x + x − 2 y − 3 y − 7 Commutative property of addition. = 4 x − 5 y − 7 Simplify. ⓑ 2 r − 5 ( 3 − r ) + 4 = 2 r − 15 + 5 r + 4 Distributive property. = 2 r + 5 r − 15 + 4 Commutative property of addition. = 7 r − 11 Simplify. 2 r − 5 ( 3 − r ) + 4 = 2 r − 15 + 5 r + 4 Distributive property. = 2 r + 5 r − 15 + 4 Commutative property of addition. = 7 r − 11 Simplify. ⓒ ( 4 t − 5 4 s ) − ( 2 3 t + 2 s ) = 4 t − 5 4 s − 2 3 t − 2 s Distributive property. = 4 t − 2 3 t − 5 4 s − 2 s Commutative property of addition. = 10 3 t − 13 4 s Simplify. ( 4 t − 5 4 s ) − ( 2 3 t + 2 s ) = 4 t − 5 4 s − 2 3 t − 2 s Distributive property. = 4 t − 2 3 t − 5 4 s − 2 s Commutative property of addition. = 10 3 t − 13 4 s Simplify. ⓓ 2 m n − 5 m + 3 m n + n = 2 m n + 3 m n − 5 m + n Commutative property of addition. = 5 m n − 5 m + n Simplify. 2 m n − 5 m + 3 m n + n = 2 m n + 3 m n − 5 m + n Commutative property of addition. = 5 m n − 5 m + n Simplify. ⓐ 2 3 y − 2 ( 4 3 y + z ) 2 3 y − 2 ( 4 3 y + z ) ⓑ 5 t − 2 − 3 t + 1 5 t − 2 − 3 t + 1 ⓒ 4 p ( q − 1 ) + q ( 1 − p ) 4 p ( q − 1 ) + q ( 1 − p ) ⓓ 9 r − ( s + 2 r ) + ( 6 − s ) 9 r − ( s + 2 r ) + ( 6 − s ) Simplifying a Formula A rectangle with length L L and width W W has a perimeter P P given by P = L + W + L + W . P = L + W + L + W . Simplify this expression. If the amount P P is deposited into an account paying simple interest r r for time t , t , the total value of the deposit A A is given by A = P + P r t . A = P + P r t . Simplify the expression. (This formula will be explored in more detail later in the course.) Access these online resources for additional instruction and practice with real numbers. Simplify an Expression. Evaluate an Expression 1. Evaluate an Expression 2. 1.1 Section Exercises Is 2 2 an example of a rational terminating, rational repeating, or irrational number? Tell why it fits that category. What is the order of operations? What acronym is used to describe the order of operations, and what does it stand for? What do the Associative Properties allow us to do when following the order of operations? Explain your answer. For the following exercises, simplify the given expression. 10 + 2 × ( 5 − 3 ) 10 + 2 × ( 5 − 3 ) 6 ÷ 2 − ( 81 ÷ 3 2 ) 6 ÷ 2 − ( 81 ÷ 3 2 ) 18 + ( 6 − 8 ) 3 18 + ( 6 − 8 ) 3 −2 × [ 16 ÷ ( 8 − 4 ) 2 ] 2 −2 × [ 16 ÷ ( 8 − 4 ) 2 ] 2 4 − 6 + 2 × 7 4 − 6 + 2 × 7 3 ( 5 − 8 ) 3 ( 5 − 8 ) 4 + 6 − 10 ÷ 2 4 + 6 − 10 ÷ 2 12 ÷ ( 36 ÷ 9 ) + 6 12 ÷ ( 36 ÷ 9 ) + 6 ( 4 + 5 ) 2 ÷ 3 ( 4 + 5 ) 2 ÷ 3 3 − 12 × 2 + 19 3 − 12 × 2 + 19 2 + 8 × 7 ÷ 4 2 + 8 × 7 ÷ 4 5 + ( 6 + 4 ) − 11 5 + ( 6 + 4 ) − 11 9 − 18 ÷ 3 2 9 − 18 ÷ 3 2 14 × 3 ÷ 7 − 6 14 × 3 ÷ 7 − 6 9 − ( 3 + 11 ) × 2 9 − ( 3 + 11 ) × 2 6 + 2 × 2 − 1 6 + 2 × 2 − 1 64 ÷ ( 8 + 4 × 2 ) 64 ÷ ( 8 + 4 × 2 ) 9 + 4 ( 2 2 ) 9 + 4 ( 2 2 ) ( 12 ÷ 3 × 3 ) 2 ( 12 ÷ 3 × 3 ) 2 25 ÷ 5 2 − 7 25 ÷ 5 2 − 7 ( 15 − 7 ) × ( 3 − 7 ) ( 15 − 7 ) × ( 3 − 7 ) 2 × 4 − 9 ( −1 ) 2 × 4 − 9 ( −1 ) 4 2 − 25 × 1 5 4 2 − 25 × 1 5 12 ( 3 − 1 ) ÷ 6 12 ( 3 − 1 ) ÷ 6 For the following exercises, evaluate the expression using the given value of the variable. 8 ( x + 3 ) – 64 8 ( x + 3 ) – 64 for x = 2 x = 2 4 y + 8 – 2 y 4 y + 8 – 2 y for y = 3 y = 3 ( 11 a + 3 ) − 18 a + 4 ( 11 a + 3 ) − 18 a + 4 for a = –2 a = –2 4 z − 2 z ( 1 + 4 ) – 36 4 z − 2 z ( 1 + 4 ) – 36 for z = 5 z = 5 4 y ( 7 − 2 ) 2 + 200 4 y ( 7 − 2 ) 2 + 200 for y = –2 y = –2 − ( 2 x ) 2 + 1 + 3 − ( 2 x ) 2 + 1 + 3 for x = 2 x = 2 For the 8 ( 2 + 4 ) − 15 b + b 8 ( 2 + 4 ) − 15 b + b for b = –3 b = –3 2 ( 11 c − 4 ) – 36 2 ( 11 c − 4 ) – 36 for c = 0 c = 0 4 ( 3 − 1 ) x – 4 4 ( 3 − 1 ) x – 4 for x = 10 x = 10 1 4 ( 8 w − 4 2 ) 1 4 ( 8 w − 4 2 ) for w = 1 w = 1 For the following exercises, simplify the expression. 4 x + x ( 13 − 7 ) 4 x + x ( 13 − 7 ) 2 y − ( 4 ) 2 y − 11 2 y − ( 4 ) 2 y − 11 a 2 3 ( 64 ) − 12 a ÷ 6 a 2 3 ( 64 ) − 12 a ÷ 6 8 b − 4 b ( 3 ) + 1 8 b − 4 b ( 3 ) + 1 5 l ÷ 3 l × ( 9 − 6 ) 5 l ÷ 3 l × ( 9 − 6 ) 7 z − 3 + z × 6 2 7 z − 3 + z × 6 2 4 × 3 + 18 x ÷ 9 − 12 4 × 3 + 18 x ÷ 9 − 12 9 ( y + 8 ) − 27 9 ( y + 8 ) − 27 ( 9 6 t − 4 ) 2 ( 9 6 t − 4 ) 2 6 + 12 b − 3 × 6 b 6 + 12 b − 3 × 6 b 18 y − 2 ( 1 + 7 y ) 18 y − 2 ( 1 + 7 y ) ( 4 9 ) 2 × 27 x ( 4 9 ) 2 × 27 x 8 ( 3 − m ) + 1 ( − 8 ) 8 ( 3 − m ) + 1 ( − 8 ) 9 x + 4 x ( 2 + 3 ) − 4 ( 2 x + 3 x ) 9 x + 4 x ( 2 + 3 ) − 4 ( 2 x + 3 x ) 5 2 − 4 ( 3 x ) 5 2 − 4 ( 3 x ) Real-World Applications For the following exercises, consider this scenario: Fred earns $40 at the community garden. He spends $10 on a streaming subscription, puts half of what is left in a savings account, and gets another $5 for walking his neighbor’s dog. Write the expression that represents the number of dollars Fred keeps (and does not put in his savings account). Remember the order of operations. How much money does Fred keep? For the following exercises, solve the given problem. According to the U.S. Mint, the diameter of a quarter is 0.955 inches. The circumference of the quarter would be the diameter multiplied by π . π . Is the circumference of a quarter a whole number, a rational number, or an irrational number? Jessica and her roommate, Adriana, have decided to share a change jar for joint expenses. Jessica put her loose change in the jar first, and then Adriana put her change in the jar. We know that it does not matter in which order the change was added to the jar. What property of addition describes this fact? For the following exercises, consider this scenario: There is a mound of g g pounds of gravel in a quarry. Throughout the day, 400 pounds of gravel is added to the mound. Two orders of 600 pounds are sold and the gravel is removed from the mound. At the end of the day, the mound has 1,200 pounds of gravel. Write the equation that describes the situation. Solve for g . For the following exercise, solve the given problem. Ramon runs the marketing department at their company. Their department gets a budget every year, and every year, they must spend the entire budget without going over. If they spend less than the budget, then the department gets a smaller budget the following year. At the beginning of this year, Ramon got $2.5 million for the annual marketing budget. They must spend the budget such that 2,500,000 − x = 0. 2,500,000 − x = 0. What property of addition tells us what the value of x must be? For the following exercises, use a graphing calculator to solve for x . Round the answers to the nearest hundredth. 0.5 ( 12.3 ) 2 − 48 x = 3 5 0.5 ( 12.3 ) 2 − 48 x = 3 5 ( 0.25 − 0.75 ) 2 x − 7.2 = 9.9 ( 0.25 − 0.75 ) 2 x − 7.2 = 9.9 If a whole number is not a natural number, what must the number be? Determine whether the statement is true or false: The multiplicative inverse of a rational number is also rational. Determine whether the statement is true or false: The product of a rational and irrational number is always irrational. Determine whether the simplified expression is rational or irrational: −18 − 4 ( 5 ) ( −1 ) . −18 − 4 ( 5 ) ( −1 ) . Determine whether the simplified expression is rational or irrational: −16 + 4 ( 5 ) + 5 . −16 + 4 ( 5 ) + 5 . The division of two natural numbers will always result in what type of number? What property of real numbers would simplify the following expression: 4 + 7 ( x − 1 ) ? 4 + 7 ( x − 1 ) ? 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Our comparing numbers worksheets start off by focusing on comparing groups of objects rather than numbers . Later worksheets directly compare or order numbers without representations by pictured objects. 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K5 Learning offers free worksheets , flashcards  and inexpensive  workbooks  for kids in kindergarten to grade 5. Become a member  to access additional content and skip ads. Our members helped us give away millions of worksheets last year. We provide free educational materials to parents and teachers in over 100 countries. If you can, please consider purchasing a membership ($24/year) to support our efforts. Members skip ads and access exclusive features. Learn about member benefits This content is available to members only. Join K5 to save time, skip ads and access more content. Learn More It’s like Phonics for Maths! Winning With Numbers ensures children become fluent and confident with number. WWN is a primary maths curriculum and learning platform to be used in school and at home. What is Winning With Numbers? Winning With Numbers is like phonics for maths! Winning With Numbers provides access to a structured and systematic programme that ensures every child acquires number knowledge!  This primary maths programme identifies 300 pieces of number knowledge and puts them in a straight-line sequence of learning.  All 300 parts come with a comprehensive suite of digital teaching, learning and training resources that can be used in school and at home.  Watch the video to find out more. What's Included? WWN is a learning platform dedicated to number fluency and includes: 1. 300 Sequential Teaching Videos 2. 1200 Explicit Instruction Teaching Videos 3. 10s of Thousands of Online Practice & Retrieval Questions 4. Online Learner Feedback, Support & Awards 5. Progress tracking for individuals, groups and school 6. 300 Integrated Professional Development Videos Watch the video for more information. Why Use WWN? There are three top-level learning outcomes that arise from using the WWN program: 1) The child acquires Number Knowledge, which is valuable to have acquired for its own sake. 2) It dramatically improves the child's overall cognitive processing ability. 3) It allows the child to access mathematical ideas and problems at a much higher level. The Daily Session The simple, straight-line sequence of learning is incredibly easy to use. It allows you to instantly see which new piece of Number Knowledge is coming next; and, when it does, each of these 300 sequential pieces of Number Knowledge comes with its own suite of online videos and questions. These resources can be shown directly in class or used to inform your own input. The video will explain this further. Easy to Use Tracking Systems Daily progressive questions will drive your teaching and save you time. If children do complete their questions online, in class or at home, the dashboard updates in real time; providing clear and meaningful data. Schools can access the WWN program through subscription to the School Platform, providing unlimited access to all resources and tracking of students. Individual teacher subscriptions are also available. Children of subscribing schools have unlimited access to this fluency program at home; otherwise, we also offer access on an individual child/family basis. Trust Improvement Lead, North East I have been hugely impressed by the level of forensic thinking that sits behind WWN. It is far from a simple programme, but rather an approach that is rooted in robust evidence of how number can be taught in a way that is accessible to all pupils. WWN offers a cohesive and evidence-informed approach to teacher-development too. It is clear that WWN has been created by people who understand school leadership, curriculum design, teaching and learning. Maths Leader, Dubai Winning With Numbers is easy to use and it clearly shows progress in learning. It is helping to bridge gaps, challenge students and achieve targets in maths across the school. Students and parents are able to follow the learning journey and are eager to complete WINs. There is a real buzz at our school as students achieve their WINs, we are absolutely loving the WWN app! :) Y3 Teacher, Cardiff Anything by Ben gets my vote! It is great to see something that has been created by someone who understands children, teachers, workload and numeracy. Through Ben's expertise, I have improved my skills in teaching maths and he has made me want to teach maths rather than fear it. This is exactly what we want for children also. Maths Leader, Harrogate The Winning With Numbers training was fantastic, we learned so much and have been really inspired. I'm still blown away with how brilliant the platform is and I'm excited to be getting going with it. It has already made a big difference in our school. Class Teacher, West Wales What Ben doesn't know about maths and the way we teach it...!!! His huge amount of expertise and experience has been a game changer for the way we teach maths! His programme makes us think differently about maths and both staff and students now really enjoy teaching and learning in this key subject. Tutor, Northumberland I love the simplicity of Winning with Numbers - the focus on putting in place the small building blocks of mastering foundational maths skills, in a very ordered way. I also love how there are ways for a student to review a topic if they feel they need to; giving them some ownership of their learning. This programme is a great addition to my tutoring sessions. Deputy Headteacher, London WWN is a highly effective programme that is deeply rooted in the science of learning with the pay off that teacher workload is minimised. It ticks all the boxes! We have seen progress maximised in each session and within a few weeks of teaching WWN. Home-Educator, South Wales My daughter is really enjoying Winning With Numbers and it is showing me the gaps she has in her knowledge. It has been really good going back to fill the gaps. She loves getting the celebration videos when she does well. She smiles so much! I never thought it meant this much to her but it definitely does! I would definitely recommend. Parent, Bridgend My son is loving it! As a teacher, I know he is getting what he needs and it is great to have something my son can work through on his own. The timer is a really helpful option. He has first built his confidence and then we can add to the challenge by using the timer option. Thank you! Tutor, Ireland All the students I work with are loving Winning With Numbers and the 'Be the Expert' videos are brilliant for preparing me for each session. Partners & Awards Winning With Numbers works to collaborate with others to improve the life chances of young people.  Winning With Numbers is delighted to partner with some highly effective organisations .  If you would like to partner with us, please do get in touch. 451 IMAGES Number Worksheet.pdf Preschool Math Numbers, Preschool Activity Books Counting Preschool Worksheets This Is A Preschool Numbers Worksheet Kids Can Learn How To Write Number Homework 1-10 by Jenny Thurman Numbers 1-20 Homework Pages ~ Number writing and counting practice Number Matching Worksheets 1-20 VIDEO Ordering Rational Numbers Homework Help Today Iam doing my numbers Homework Fingerspelling 1 Homework 3: Numbers Algebra of Complex Numbers || Homework Included || Complex number EP#2 || Bidyut Maishal Std 6 Mathematics Chapter 6 Numbers homework#Factors#സംഖ്യകൾ#activitiesPageNo96,97#ganithammadhuram Working with Numbers COMMENTS Learning Numbers Learning numbers worksheets for preschool and kindergarten, focused on recognizing and printing the numbers from 1-20. Free reading and math worksheets from K5 Learning; no login required. Numbers worksheets Numbers worksheets. These learning numbers worksheets provide practice in recognizing and printing numbers, including numbers written as words and ordinal numbers. Even and odd numbers are also introduced. Free math worksheets from K5 Learning; no login required. Numbers Worksheets for Kindergarten (Free Printables) Enhance your young learners' numerical abilities with our engaging number worksheets. These comprehensive worksheets include tracing and writing numbers, counting, cutting, pasting, color-by-number exercises, matching, and identifying quantities. They provide a fun way for kindergarteners to strengthen their number sense and fine motor skills. Number Sense Worksheets Welcome to the number sense page at Math-Drills.com where we've got your number! This page includes Number Worksheets such as counting charts, representing, comparing and ordering numbers worksheets, and worksheets on expanded form, written numbers, scientific numbers, Roman numerals, factors, exponents, and binary numbers. There are literally hundreds of worksheets meant to help students ... Math Worksheets Math Worksheets. Test your math skills! Ace that test! See how far you can get! You can view them on-screen, and then print them, with or without answers. Every worksheet has thousands of variations, so you need never run out of practice material. Kindergarten Math Worksheets Number of the Day Worksheets Covering numbers 0-10, this set of free printable kindergarten math worksheets will fit perfectly in your classroom. Each day students trace, count, color, frame, write, draw and tally their number. Number / FREE Printable Worksheets Skip Counting by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 - Three Worksheets Number Worksheets Number Worksheets Number worksheets make a great addition to math centers. Try creating your own math problems. Customize your worksheets by changing the font and text. Home Home page: Need help with homework? Just AskRose! AskRose is a fully funded, free math & science tutoring service for 6-12 grade students. Learning Numbers with Hands-On Number Activities If your kids are learning numbers, then this list of number activities is perfect for you! It is packed with fun, hands-on activities that will help children learn numbers! They are great for preschool or kindergarten math centers or for learning at home. So pick a number activity and have fun learning numbers! Kindergarten Number Worksheets Kindergarten Number Worksheets Free Kindergarten Number Worksheets for students to work hands-on on number formation, number recognition, stroke order, counting, and number tracing. Review and practice are the keys when it comes to number fluency, and these free printable number worksheets will reinforce your student's number readiness and prepare your kindergartener for higher math skills. Kindergarten Numbers & Counting Worksheets Numbers and counting worksheets for preschool and kindergarten. Other preschool and kindergarten math worksheets available include patterns, more than/less than, measurement, money, graphing, addition and subtraction. No login required. Numbers 1 to 10 worksheets Numbers 1-10 Worksheets - introducing the numbers 1-10 with numbers represented in numerical form, word form and graphical form. One worksheet per number from one to ten. Part of a collection of early math worksheets - free from K5 Learning. Free Math Worksheets That's because Khan Academy has over 100,000 free practice questions. And they're even better than traditional math worksheets - more instantaneous, more interactive, and more fun! Preschool Number Worksheets Preschool Number Worksheets 1-10 Our Preschool Number Worksheets will help your students with building skills in number representation, recognition and formation, names and spelling of numbers, counting and so much more! These worksheets are great for PreK 3 students as they provide simple black line illustrations for students to count and color. Numbers: worksheets and printable exercises pdf Numbers: Free worksheets, handouts, esl printable exercises pdf and resources. English vocabulary resources online Free printable number charts Free printable number charts. This generator makes number charts and lists of whole numbers and integers, including a 100-chart, for kindergarten and elementary school children to practice number writing, counting, and skip-counting. You can decide how much of the chart is pre-filled, the border color, skip-counting step, and so on. 1,960 Numbers English ESL worksheets pdf & doc A little handout for your students to learn how to say numbers. 6112 uses. A selection of English ESL numbers printables. 1.1 Real Numbers: Algebra Essentials This free textbook is an OpenStax resource written to increase student access to high-quality, peer-reviewed learning materials. Brainly Get personalized homework help for free — for real. Brainly is the knowledge-sharing community where hundreds of millions of students and experts put their heads together to crack their toughest homework questions. Comparing Numbers Worksheets Comparing and ordering numbers worksheets Our comparing numbers worksheets start off by focusing on comparing groups of objects rather than numbers. Later worksheets directly compare or order numbers without representations by pictured objects. Primary Maths Curriculum Winning With Numbers is a primary maths curriculum and learning platform that ensures children are fluent and confident with number. Happy Numbers Happy Numbers builds an individualized math dialogue and responds to students just the way you would: unpacking concepts step-by-step, scaffolding learning, and providing immediate feedback based on student inputs. Individualized pacing means those who demonstrate mastery progress more quickly, and those who need more instruction receive it. assignment essay homework paper phd report resume speech thesis