Explains tenths, hundredths and thousandths, how decimals connect to fractions, and how to compare, add, subtract and round decimals. Written for parents and students, with worked examples that show the method step by step.
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Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.
Completed: Decimals Explained
Year 5 students (typically ages 10–11) working on decimals. It is pitched at level 2 · standard.
This is a study guide, so there is no separate answer sheet; the 'Check yourself' questions include answers.
About 20 minutes. Short, regular sessions work best: two or three a week beats one long one.
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Try Year 5 Decimal Place Value Worksheet — Level 2, then check understanding with the Year 5 Decimals Topic Test.
Year 5 · Mathematics · Decimals
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A decimal is another way of writing a fraction whose denominator is 10, 100 or 1000. The decimal point separates the whole-number part from the part that is smaller than one. Each place to the right of the point is ten times smaller than the one before it: tenths, then hundredths, then thousandths.
| Ones | · | Tenths | Hundredths | Thousandths |
|---|---|---|---|---|
| 3 | · | 4 | 7 | 2 |
Reading 3.472
| Fraction | Decimal |
|---|---|
| 0.1 | |
| 0.01 | |
| 0.5 | |
| 0.25 | |
| 0.75 | |
| 0.2 |
Comparing decimals. Line up the decimal points and compare one place at a time from the left. It helps to add zeros on the end so both numbers have the same number of decimal places — adding zeros after the last digit does not change the value.
Which is larger: 0.5 or 0.45?
Adding and subtracting. Write the numbers underneath each other with the decimal points lined up, fill any gaps with zeros, then add or subtract exactly as you would with whole numbers. The decimal point in the answer goes directly under the others.
2.35 + 1.4, then 5.2 − 1.75
Rounding and multiplying by 10 or 100. To round to one decimal place, look at the hundredths digit: 5 or more rounds the tenths up. 3.472 rounds to 3.5 (one decimal place) and to 3.47 (two decimal places). Multiplying by 10 moves every digit one place to the left: 3.47 × 10 = 34.7 and 3.47 × 100 = 347. Dividing by 10 moves the digits one place to the right: 34.7 ÷ 10 = 3.47.
Answers: 1. 6 hundredths (0.06) 2. 0.75 3. 0.7 4. 6.95 5. 4.7 6. 8.2
Preview — the PDF contains the full resource.
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