Introduces decimal place value for Year 4: what the first and second places after the decimal point mean, how decimals link to fractions, money and measurement, and how to compare and order decimals correctly. Includes a conversion table, worked examples and a self-check.
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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: Tenths and Hundredths
Year 4 students (typically ages 9–10) working on decimals. It is pitched at level 1 · easier.
This is a study guide, so there is no separate answer sheet; the 'Check yourself' questions include answers.
About 15 minutes. Short, regular sessions work best: two or three a week beats one long one.
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Try Year 4 Decimal Place Value Worksheet — Level 1.
Year 4 · Mathematics · Decimals
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A decimal point separates whole numbers from parts of a whole. The first place after the point is tenths (one whole split into 10 equal parts) and the second place is hundredths (one whole split into 100 equal parts). So 0.7 is and 0.07 is . They look similar but 0.7 is ten times bigger.
| Decimal | Fraction | In words |
|---|---|---|
| 0.3 | three tenths | |
| 0.09 | nine hundredths | |
| 0.45 | forty-five hundredths | |
| 2.6 | 2 | two and six tenths |
Place value chart. Every digit has a place: ones, then the decimal point, then tenths, then hundredths. In 3.47 there are 3 ones, 4 tenths and 7 hundredths. Writing a number as the sum of its places is called expanded form.
Write 3.47 in expanded form
Tenths and hundredths are linked. 10 hundredths make 1 tenth, so 0.10 is the same as 0.1, and 0.50 = 0.5 = . Adding a zero on the end of a decimal does not change its value, which is very handy when you compare decimals.
Which is larger: 0.6 or 0.58?
Decimals in real life. Money is written in hundredths: $2.35 is 2 dollars, 3 ten-cent coins (tenths of a dollar) and 5 cents (hundredths). Lengths work the same way: 1.25 m is 1 metre and 25 centimetres, because a centimetre is one hundredth of a metre.
Order 0.3, 0.25 and 0.09 from smallest to largest
Answers: 1. 0.8 2. 3. 5 hundredths (0.05) 4. 0.4 (it equals 0.40, and 40 hundredths is more than 39 hundredths) 5. 1 + 0.7 + 0.02 6. 0.15, 0.5, 0.51
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Tenths, hundredths and thousandths: reading, comparing and ordering decimals. Builds confidence with the core skill before adding…
Study Guide · Year 5 · Decimals · Level 2 · Standard
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