# Decimals Teaching Resources

Browse decimal worksheets, games and more Australian curriculum V9 resources created by primary teachers for your primary classroom!

Explore editable resources you can easily differentiate for individual learners plus maths rotations activities and engaging games to help students learn how to read and write decimals using place value and the decimal point, how to convert a decimal to a fraction and more.

## What Are Decimals? A Kid-Friendly Definition

Explaining decimals to your class? Here's a kid-friendly definition that will help!

A decimal is a special way to write parts of a whole number. Decimals are a lot like fractions, but instead of using numbers like 1/2 or 1/4, we use a dot called a decimal point to separate the whole number part from the part that is less than one.

The number before the decimal tells you how many wholes you have, and the digits after the decimal point tell you how many groups of one-tenth, one-hundredth or one-thousandth you have.

One of the most common places students will encounter decimals in real life is when using money — a dollar is a whole number, while cents are a part of the whole and are typically represented beyond a decimal point.

## How Do You Turn a Decimal Into a Fraction and Vice Versa?

Turning decimals into fractions and doing the reverse are both important skills for students to develop. Here are simple processes for doing just that!

### How to Turn a Decimal Into a Fraction

- Write down the digits in the decimal over its place value.
- For example, if you have the decimal 0.75 (seventy-five hundredths), you would write it as 75/100.

- Simplify the fraction by finding the greatest common factor (GCF) of the numerator and denominator and dividing both by it.
- In the example above, the GCF of 75 and 100 is 25, so dividing both by 25 gives you the simplified fraction 3/4. This means 0.75 as a fraction is 3/4.

### How to Turn a Fraction Into a Decimal

To turn a fraction into a decimal, your students will need to divide the numerator (top number) by the denominator (bottom number).

- Divide the numerator by the denominator.
- If the numerator does not divide evenly by the denominator, add zeroes to the dividend to continue the division to as many decimal places as needed or desired. Don't forget to add a decimal point after the digit found in the denominator!
- Round the decimal to the desired number of decimal places, if necessary.

## How Do You Round Decimals?

Another skill students need to learn is the process of rounding decimals to the nearest whole number or to a specific decimal place. This will allow your students to simplify numbers, making them easier to work with!

This will be useful when doing things such as rounding to the nearest dollar amount when working with money.

Rounding can also be used to get a general sense of a number without worrying about the exact value, which can be helpful in certain situations, such as estimating a budget or measurement.

To round a decimal to the nearest whole number, you need to look at the digit to the right of the decimal point.

- If that digit is 5 or greater, you round up to the next whole number.
- If that digit is 4 or less, you round down to the current whole number.

For example, let's say you want to round the decimal 3.7 to the nearest whole number. The digit to the right of the decimal point is 7, which is 5 or greater, so you round up to 4.

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### Introducing Decimal Numbers Teaching Slides

Help students understanding decimal place value and the relationship between fractions and decimals with this comprehensive teaching presentation.

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### Fractions and Decimals Assessment

Assess students' knowledge of various decimals and percentages concepts with this four-page worksheet.

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### Year 4 Fractions and Decimals Worksheets

Use these fractions and decimals worksheets in your Year 4 classroom for independent practice or as an assessment activity.

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### Year 6 Fractions, Decimals and Percentages Worksheets

Use these fractions, decimals and percentages worksheets in your Year 6 classroom for independent practice or as an assessment activity.

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### Tenths and Hundredths as Decimals Worksheet Pack

Get your students representing tenths and hundredths as decimals using concrete models, visual models and money with this set of Year 4 maths worksheets.

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### Using the Decimal Number Line (Tenths and Hundredths) Teaching Slides

Teach your students how to identify, order, and label decimals on a number line with an interactive teaching presentation.

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### Decimal Number Patterns – Differentiated Worksheets

Practise determining a pattern and next value in a numerical sequence of decimals to the hundredths place.

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### Calculating Discounts and Sale Price Teaching Slides

Teach your students how to calculate discounts and sale prices using fractions and decimals with this comprehensive teaching presentation.

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### Operations with Decimals Teaching Slides

Teach your students how to add, subtract, multiply and divide using decimal numbers with this comprehensive teaching presentation perfect for upper primary maths lessons.

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### Decimals and Percentages Maths Investigation – Plan a Party!

Get your students connecting their maths knowledge to the real world with this decimals and percentages party planning project.

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### Place Value Chart with Decimals

Display this place value chart in your classroom to remind your students of place value from millions to millionths.

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### Percentages, Fractions, Decimals Worksheet

A worksheet connecting percentage, decimal and fraction values.

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### Decimals and Percentages Assessment

Assess students' knowledge of various decimals and percentages concepts with this four-page worksheet.

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### Multiplying with Decimals – Differentiated Worksheets

Strengthen computation skills with this set of decimal multiplication worksheets.

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### Year 5 Fractions and Decimals Worksheets

Use these fractions and decimals worksheets in your Year 5 classroom for independent practice or as an assessment activity.

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### Fraction, Decimal and Percentage Bingo

Convert between fractions, decimals and percentages with this engaging Bingo game the whole class can enjoy!

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### Ordering Decimals on a Number Line — Year 4 Worksheet

Practice ordering decimals on a number line with this worksheet.

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### Interactive Maths Review – Activities for Years 5, 6 and 7

Review important maths concepts covered in years 5, 6 and 7 with a student-led interactive activity.

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### Relating Decimals and Fractions Worksheet

Practise matching fractions with a denominator of 10 and 100 to decimals and vice versa.

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### Decimals on Number Lines – Codebreaker Worksheets

Crack the number line code with worksheets practising identification, addition, and subtraction of decimal numbers.

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### Describe That Decimal Worksheet

Explore the place value of decimals with this versatile one-page printable worksheet.

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### Compare and Order Decimals Worksheet

Build decimal place value understanding with a printable worksheet for comparing and ordering decimals.

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### Fractions, Decimals and Percentages Polygon Puzzle

A puzzle using fractions, decimals and percentages.

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### Representing Tenths Worksheet

Have students demonstrate their understanding of tenths with this simple one-page worksheet.

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### Year 5 - Decimal Place Value Assessment

Assess your students' skills with decimals and place value using a printable Year 5 Decimal Place Value Test.

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### Multiplying Decimals – Word Problem Task Cards

Solve a variety of word problems by multiplying decimals with this set of 24 task cards.

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### Fractions and Decimals Matching Game

Practise matching equivalent fractions and decimals with this set of 15 cards that focus on tenths and hundredths place values.

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### Plotting Decimals Number Line Worksheet

Practise identifying decimals on number lines with a decimal number line worksheet.

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### Converting Percentages Year 6 Worksheet

Print a year 6 maths worksheet about converting a percent to a decimal or a fraction.

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### I Have, Who Has? Game - Fraction, Decimal and Percentage Equivalence

Reinforce students' understanding of fraction, decimal and percentage equivalence with a whole-class game.

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### Patterns in Place Value Teaching Slides

Strengthen student understanding of decimal place value and the relationship between place value positions with this instructional slide deck.

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### Adding and Subtracting Decimals Word Problems Worksheet

Practise solving word problems by adding and subtracting decimals to the thousandths place with this worksheet.