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Mathematics·Number Representation & Place Value·conceptual

Place Value × 10 and ÷ 10

Recognise that in a multi-digit number, a digit in one place represents 10 times as much as in the place to its right and 1/10 of what it represents in the place to its left

Suggested ages 10–11

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Learning journey

Your child is mastering large numbers and decimals — reading, writing, and comparing numbers up to 10 million, understanding how decimal places work, and using negative numbers in real-world contexts like temperature and money.

Evidence of understanding

  • Explain that the 4 in 0.04 is 1/10 of the 4 in 0.4
  • State that a digit moving one place left is ×10 and one place right is ÷10
  • Compare the value of the 6 in 6,000 and in 0.006

Assessment prompt

Can Place Value × 10 and ÷ 10 explain that in 4.56, the digit 5 is worth 5 tenths — ten times less than the 5 in 54, and ten times more than the 5 in 0.056?

Standards alignment

No external standards are linked to this topic.