# Decimals - Worksheets

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## Decimals and Number LinesLevel 1

This one page worksheet introduces decimals. It uses number lines to help students visualize where decimals lie between two whole numbers. Students plot the decimal and write if it is greater or less than one-half.

Key concept: Students need to understand the value of a decimal and where it is located between two whole numbers.

## Comparing Decimals

These one page worksheets cover comparing decimals. Students are given two numbers to compare, need to put numbers in order from least to greatest, are given a quick word and standard form review, and have to answer two simple word problems.

## Addition with Decimals - Level 1

These one page worksheets cover basic adding with decimals.

Key concept: Addition is the same with or without decimals. Students need to be aware of the decimals and make sure they are lined up before adding.

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## Addition with Decimals - Level 2

These one page worksheets cover adding with decimals.

Student misunderstanding: Make sure the decimals are lined up before adding. Also, if the decimal is not in sight it is on the right. Example: 34 = 34. = 34.0

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Version B

## Addition with Decimals - Level 3

This two page worksheet covers adding decimals. It uses students' prior addition knowledge to practice lining up decimals and carrying.

Student misunderstanding: Always need to line up the decimals before adding. Helpful idea: Have students place decimals first, and then place the digits on the right and left of the decimal.

These one page art worksheets review adding with decimals. Students will need to line up the decimals and digits and add.

Helpful idea: Use picture as extra credit.

## Adding and Subtracting Decimals - Video

This video covers adding and subtracting decimals. It shows examples and gives a brief explanation of a decimal. There are three different levels of worksheets to go with the video. Each worksheet includes basic practice and an Answer, Find, and Shade Activity, which can be used separately.

NOTE: The video link below will take you to VIMEO. It is a website where the video is being hosted.

These one page worksheets cover adding and subtracting decimals. Each worksheet includes basic practice and an Answer, Find, and Shade Activity.

Important note: These handouts are designed to go with a short Adding and Subtracting Decimals Video which is currently located on VIMEO, but can also be used alone.

These one page art worksheets review subtracting with decimals. Students will need to line up the decimals and digits and subtract.

Key concept: Subtract with decimals.

## Multiplying and Dividing by 10'sLevel 1

This two page worksheet introduces multiplying and dividing decimals by 10's. It uses the simple concept of moving the decimal for each "0" in the 10's number.

Key concept: Place values are separated by 10.

## Multiplying and Dividing by 10'sLevel 2

This two page worksheet covers multiplying and dividing decimals by 10, 100, and 1000. Students should already understand basic decimals, and multiplication and division.

Key concept: When multiplying or dividing by 10's the decimal is moving one place value per 10.

## Multiplying and Dividing by 10'sLevel 3

This two page worksheet continues multiplying and dividing decimals by 10's, and covers up to 10 million. Students should already understand moving the decimal when using multiplication and division.

Student misunderstanding: Commas are not the same as decimals. Commas separate the whole number groups (ones, thousands, millions, etc.). Decimals separate whole numbers from the fraction (pieces) of a whole number.

These one page art worksheets review multiplying decimals. The drawing is the same but the questions are different for each level.

Student misunderstanding: Count how many digits are to the right of the decimal in all the numbers before multiplying. After the final answer is calculated put the decimal back so the same number of digits are to the right.

## Long Division with DecimalsLevel 1

This two page worksheet introduces long division with decimals. It covers dividing when a decimal is already present, and adding a decimal and zero to complete a problem.

Key concept: A decimal separates the whole number from the parts of a whole (fraction). And you are not changing a number by adding a decimal and a zero. Example: 1 is the same as 1.0 or 1.00 or 1.000000.

## Long Division with DecimalsLevel 2

This two page worksheet continues long division with decimals. It covers adding more than one zero and repeaters.

Key concept: That it's okay to add more and more zeros, and that some numbers can continue forever. Students should start recognizing the patterns of certain repeaters.

## Long Division with DecimalsLevel 3

This two page worksheet covers decimals in the divisor (number on the outside). It includes prior division and decimal knowledge (adding zero's after a decimal, repeaters, etc.).

Key concept: Can not divide with a decimal in the divisor, and whatever you do to the divisor you need to do to the dividend (inside number).

This art worksheet reviews the basic operations (add, subtract, multiply, and divide) with decimals.

Student misunderstanding: Multiplying: the total number of digits to the right of the decimal should be the same in the final answer. Dividing: cannot have a decimal in the divisor (outside number). Whatever you do to the outside you have to do to the inside.

## Decimals and Percents - All Levels

This one page worksheet has students write the percent as a decimal and write the decimal as a percent.

Key concept: A percent is out of 100, which means you need to always move the decimal two places. Percent to decimal you move two spaces to the left, and decimal to percent you move two spaces to the right.

## Changing Fractions to DecimalsLevel 1

This two page worksheet introduces changing fractions to decimals using long division and prior decimal knowledge (adding zero's after a decimal, repeaters, etc.).

Student misunderstanding: Lots of students get confused with which number goes inside (dividend) and which one goes outside (divisor). They usually think the bigger number goes inside.

## Changing Decimals to FractionsLevel 1

This two page worksheet introduces changing decimals to fractions. It covers up to thousandths and includes simplifying fractions.

Helpful hint: When changing a decimal to a fraction, every digit to the right of the decimal means a zero in the denominator. Example: 0.19 has two digits to the right of the decimal, so the fraction would be 19/100 (the denominator has two zeros).

This art worksheet covers decimals and percents. Students look at squares and write the decimal and percent of the shaded part. In addition, there are a few find the percent of a number problems.

Key concepts: Interpret percents as a part of a hundred, find decimal and percent equivalents for common fractions, and compute a given percent of a number.

## Stained Glass - Level 2Comparing Fractions and Decimals

This one page art worksheet covers comparing fractions and decimals. Students circle the greatest amount in each group and then color the related shapes in the picture. Each student chooses their own colors to create a unique art project.

Key concept: Students need to be able to compare fractions and decimals and be able to visualize the size of a number.

## Percents, Decimals, and FractionsLevel 3

Students write numbers as percents, decimals, and fractions. Use the above handouts for review if necessary. There are two versions of this handout.

Preview

## Solving One-Step Equations - Level 1Add, Subtract with Decimals

This one page worksheet covers solving one-step equations with addition and subtraction of decimals. It does not have any negative variables.

Student misunderstanding: Whatever you do to one side of an equation you have to do to the other to keep them equal.

## Solving One-Step Equations - Level 1Multiply, Divide with Decimals

This one page worksheet covers solving one-step equations with multiplication and division of decimals. It does not have any negative variables or variables as the divisor.

Student misunderstanding: 4 x h is the same as 4h and b ÷ 4 is the same as b/4.

This one page art worksheet reviews arithmetic with rational numbers, positive and negative integers, fractions, and decimals.

Key concept: Students need to know and review their basics to progress through higher math.

This one page art worksheet reviews basic decimals. It includes changing simple fractions to decimals, understanding the word form, plotting decimals on a number line, and two word problems.

Student misunderstanding: Students should understand the difference between tenths and hundredths (Example: 0.4 and 0.04.) and know that 0.4 and 0.40 are equal.

## Answer, Find, and ColorDecimal Review - Level 2

This art worksheet reviews decimals. It covers word form of decimals, greatest decimal value, rounding, and problem solving. Students choose two different colors and color the odd numbered problems one color and the even ones the other color.

Key concept: Students understand decimals and solve problems involving decimals.