Helps Year 5 students read, write, compare and round numbers up to seven digits. Covers grouping digits in threes, the value of each digit, expanded form, zeros as placeholders and the one-digit rule for rounding to any place, with 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: Place Value to Millions and Rounding
Year 5 students (typically ages 10–11) working on place value. 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 15 minutes. Short, regular sessions work best: two or three a week beats one long one.
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Try Year 5 Place Value Worksheet — Level 3.
Year 5 · Mathematics · Place Value
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Every place in a number is worth ten times the place to its right: ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions. In Australia we write large numbers with a small space between each group of three digits, which makes them easier to read: 3 456 782 is read as three million, four hundred and fifty-six thousand, seven hundred and eighty-two.
| Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones |
|---|---|---|---|---|---|---|
| 3 | 4 | 5 | 6 | 7 | 8 | 2 |
| 1 | 0 | 5 | 0 | 3 | 0 | 9 |
The second row of the table is 1 050 309 (one million, fifty thousand, three hundred and nine). The zeros are placeholders: they hold the hundred thousands, thousands and tens places so that the other digits stay in the right columns. The value of a digit depends on its place, so in 3 456 782 the 5 is worth 50 000 and the 4 is worth 400 000.
Write 2 070 415 in words and in expanded form
Which is larger: 1 345 902 or 1 354 092?
Rounding. Find the digit in the place you are rounding to, then look only at the digit immediately to its right. If that digit is 5 or more, round up (add 1 to the rounding digit). If it is 4 or less, leave the rounding digit alone. Then change every digit to the right of the rounding place to zero.
Round 3 456 782 to the nearest thousand, ten thousand and million
Round 849 500 to the nearest hundred thousand
Answers: 1. five million, two hundred and eight thousand, three hundred and sixteen 2. 700 000 3. 6 040 009 4. 3 001 000 5. 6 380 000 (the ten thousands digit is 8 and the next digit is 4) 6. 8 000 000 (the millions digit is 7 and the next digit is 6, so round up)
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Study Guide · Year 3 · Place Value · Level 1 · Easier
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