New
New
Year 5

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

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

New
New
Year 5

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

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

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Lesson details

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.

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.

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.

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

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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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