Place value progression
The place value progression outlines groups of numbers and important place value concepts within the decimal number system that learners need to understand in order to solve problems. The earliest step is based around the unit 10. At the highest step, learners understand the value of the position of any digit in a number including decimal numbers.
- Find more information about number strategies.
| Most adults will be able to: | Activities | ||
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| 1. |
There is a gap at the first step of this progression because learners need to be able to count all objects before they can learn to count in tens. |
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| 2. |
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Learners know how many tens there are in numbers to 100 and can partition numbers up to 100 into tens and ones, for example:
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Learners develop the understanding that our number system is based on the number 10. |
| 3. |
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Learners know how many tens and hundreds there are in numbers up to 1,000 and can partition numbers up to 1,000 into hundreds, tens and ones, for example:
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Learners extend their understanding of place value by adding and subtracting 1, 10, 100 and 1,000 from whole numbers. Learners develop the understanding that our number system is based on the number 10. |
| 4. |
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Learners know how many tens, hundreds and thousands there are in any
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| 5. |
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Learners can order and convert between tenths, hundredths and thousandths. For example, a learner knows that:
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Connecting percentages decimals and fractions Learners explore the connections between percentages, decimals and fractions. Learners develop their understanding of the place value system to include the decimal numbers tenths, hundredths and thousandths. |