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Understand what happens when a number is multiplied or divided by 10 and 100

Understand what happens when a number is multiplied or divided by 10 and 100

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Why this why now

In this unit, pupils extend their knowledge of multiplication as scaling to understand that multiplying by 10 makes a number ten times the size and dividing by 10 makes it one-tenth times the size. They explain the role of zero as a placeholder when calculating with whole numbers and multiplying and dividing by 10 and 100. Pupils also explore what happens to the product and quotient when factors and dividends are made 10 or 100 times the size and apply this thinking to their multiplication facts.

Prior knowledge requirements

  • Understand place value of digits in whole numbers
  • Recognise patterns when multiplying by 10
  • Identify how digit position changes with multiplication/division

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Why this why now

In this unit, pupils extend their knowledge of multiplication as scaling to understand that multiplying by 10 makes a number ten times the size and dividing by 10 makes it one-tenth times the size. They explain the role of zero as a placeholder when calculating with whole numbers and multiplying and dividing by 10 and 100. Pupils also explore what happens to the product and quotient when factors and dividends are made 10 or 100 times the size and apply this thinking to their multiplication facts.

Prior knowledge requirements

  • Understand place value of digits in whole numbers
  • Recognise patterns when multiplying by 10
  • Identify how digit position changes with multiplication/division

Understand what happens when a number is multiplied or divided by 10 and 100

In this unit pupils will explain the relationship between multiplying and dividing a number by 10 and multiples of 10.

15 lessons in unit

  1. 1

    Explain the relationship between multiplying a number by 10 and multiples of 10

    I can explain the relationship between multiplying a number by 10 and multiples of 10
  2. 2

    Understand that multiplying by 10 makes a number ten times the size

    I can understand that multiplying by 10 makes a number ten times the size.
  3. 3

    Use place value to explain placing a zero after the final digit when we multiply whole numbers by 10

    I can use place value to explain placing a zero after the final digit when we multiply whole numbers by 10
  4. 4

    Understand that dividing a number by 10 makes it one-tenth times the size

    I can understand that dividing a number by 10 makes it ten times smaller or one tenth the size
  5. 5

    Use place value to explain removing the zero in the ones from a multiple of ten when we divide by 10

    I can use place value to explain removing the zero in the ones from a multiple of ten when we divide by 10
  6. 6

    Explain the relationship between multiplying a number by 100 and multiples of 100

    I can explain the relationship between multiplying a number by 100 and multiples of 100
  7. 7

    Explain the use of placeholders when multiplying whole numbers by 100

    I can use place value to explain placing 2 0's after the final digit when we multiply whole numbers by 100
  8. 8

    Explain the removal of placeholders when dividing whole numbers by 100

    I can use place value to explain removing the final 2 zeros from a multiple of 100 when we divide by 100
  9. 9

    Use knowledge of the composition of 100 to multiply and divide by 100 in different ways

    I can use knowledge of the composition of 100 to multiply and divide by 100 in different ways
  10. 10

    Explain how making a factor 10 times the size affects the product

    I can explain how making a factor 10 times the size affects the product
  11. 11

    Explain how making the dividend 10 times the size affects the quotient

    I can explain how making the dividend 10 times the size affects the quotient
  12. 12

    Explain how making a factor 100 times the size affects the product

    I can explain how making a factor 100 times the size affects the product.
  13. 13

    Explain how making the dividend 100 times the size affects the quotient

    I can explain how making the dividend 100 times the size affects the quotient
  14. 14

    Scale known multiplication facts by 100

    I can scale known multiplication facts by 100
  15. 15

    Scale division facts derived from multiplication facts by 100

    I can scale division facts derived from multiplication facts by 100

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A step-by-step guide to getting started

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