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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

Threads

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