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      Multiplying and dividing a number by 10, 100 and 1,000 including bridging 1

      Lesson details

      Learning outcome

      I can explain the effect of multiplying and dividing a number by 10, 100 and 1,000 including bridging 1

      Key learning points

      1. When a number is divided by 10, 100 or 1,000, the digits move one, two or three places to the right respectively.
      2. Dividing by 10, 100 or 1,000 is equivalent to multiplying by 0.1, 0.01 or 0.001 respectively.
      3. Multiplying by 0.1, 0.01 or 0.001 is equivalent to multiplying by one tenth, one hundredth or one thousandth.
      4. When a number is multiplied by 10, 100 or 1,000, the digits move one, two or three places to the right respectively.

      Keywords

      • Tenth - One-tenth is one part in ten equal parts.

      • Hundredth - One-hundredth is one part in one hundred equal parts.

      • Thousandth - One-thousandth is one part in one thousand equal parts.

      Common misconception

      Children may 'add' a zero when multiplying or vice versa when dividing. Children may place a zero at the end of the decimal fraction when multiplying, or vice versa when dividing.

      When we 'add' zero, the value of the number does not change. When we multiply or divide by a power of 10, we need to move all the digits the appropriate spaces to the left/right even if this means bridging one and moving into the decimal places.

      Teacher tip

      Use Base 10 blocks, place value charts and Gattegno charts throughout to support where appropriate.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      Match the expressions to their product.

      Correct Answer:5 × 100 =,500

      500

      Correct Answer:5 × 10 =,50

      50

      Correct Answer:5 × 1 = ,5

      5

      Correct Answer:8 × 10 = ,80

      80

      Correct Answer:8 × 100 =,800

      800

      Correct Answer:8 × 1 = ,8

      8

      Q2.
      When a number is divided by one hundred, the digits are moved place value places to the right.

      Correct Answer: two, 2

      Q3.
      Use the Gattegno chart to complete the sentence. 1 is times larger than 0.001

      An image in a quiz
      Correct Answer: 1,000, thousand, one thousand

      Q4.
      Use the Gattegno chart to complete the sentence. 0.001 is times smaller than 0.1

      An image in a quiz
      Correct Answer: 100, hundred, one hundred

      Q5.
      Match the division expression to its equivalent multiplication expression.

      Correct Answer:1 ÷ 100,1 × 0.01

      1 × 0.01

      Correct Answer:0.1 ÷ 100,0.1 × 0.01

      0.1 × 0.01

      Correct Answer:1 ÷ 10,1 × 0.1

      1 × 0.1

      Correct Answer:0.01 ÷ 10,0.01 × 0.1

      0.01 × 0.1

      Correct Answer:0.01 ÷ 1,0.01 × 1

      0.01 × 1

      Q6.
      Match the equations to their product.

      Correct Answer:9 × 1,000 = ,9,000

      9,000

      Correct Answer:9000 ÷ 1,000 =,9

      9

      Correct Answer:4,000 × 0.001 =,4

      4

      Correct Answer:4,000 × 0.1 = ,400

      400

      Correct Answer:4,000 ÷ 100 =,40

      40

      Correct Answer:9,000 x 0.01 = ,90

      90

      6 Questions

      Q1.
      One- is one part in one thousand equal parts.

      Correct Answer: thousandth, 1000th

      Q2.
      Match the expression to its answer.

      Correct Answer:8 ÷ 1,000 = ,0.008

      0.008

      Correct Answer:8 × 0.01 = ,0.08

      0.08

      Correct Answer:8 ÷ 10 = ,0.8

      0.8

      Correct Answer:8 ÷ 1 = ,8

      8

      Q3.
      Six made one-hundredth times the size is equal to ___

      60
      6
      0.6
      Correct answer: 0.06
      0.006

      Q4.
      Which of the following is the odd one out?

      Correct answer: 7 ÷ 100
      7 × 0.001
      7 × $$ \frac{1}{1000} $$
      $$ \frac{1}{1000} $$

      Q5.
      Sofia is thinking of a number. Her number is one thousand times the size of 0.7 What is her number?

      0.7
      7
      70
      Correct answer: 700
      7,000

      Q6.
      Lucas is thinking of a number. His number is one hundredth times the size of 7 What is his number?

      0.007
      Correct answer: 0.07
      0.7
      700
      7,000

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