New
New
Explain how to multiply and divide a number by 10, 100 and 1,000
I can explain how to multiply and divide a number by 10, 100 and 1,000
Lesson 3 of 15
New
New
- Year 5
Explain how to multiply and divide a number by 10, 100 and 1,000
I can explain how to multiply and divide a number by 10, 100 and 1,000
Lesson details
Key learning points
- When you multiply by 10, 100 or 1,000, the digits move one, two or three places to the left respectively.
- When you divide 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.
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 (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Prior knowledge starter quiz
6 Questions
Q1.Look at the Gattegno chart. Which number is being represented?
Look at the Gattegno chart. Which number is being represented?

Q2.Match the expressions to their product.
Match the expressions to their product.
Q3.When a number is multiplied by one hundred, the digits are moved __________ place value places to the left.
When a number is multiplied by one hundred, the digits are moved __________ place value places to the left.
one
three
four
Q4.Match the equations to their product.
Match the equations to their product.
Q5.Sofia is thinking of a number. Her number is ten times the size of 0.4 What is her number?
Sofia is thinking of a number. Her number is ten times the size of 0.4 What is her number?
0.04
0.4
40
400
Q6.Lucas is thinking of a number. His number is one hundredth times the size of 8 What is his number?
Lucas is thinking of a number. His number is one hundredth times the size of 8 What is his number?
0.008
0.8
80
800
Assessment exit quiz
6 Questions
Q1.When we multiply 0.95 by 100, what is the new value of the 9 digit?
When we multiply 0.95 by 100, what is the new value of the 9 digit?
Nine hundredths
Nine tenths
Nine ones
Nine hundreds
Q2.1.04 × 10 =
1.04 × 10 =
1.040
14
104
Q3.0.03 ÷ 10 = .
0.03 ÷ 10 = .
0.3
.003
.3
0.03
Q4.Match the expression to its product.
Match the expression to its product.
Q5.Sofia buys an apple every day. If one apple costs £0.35, how much has she spent after 10 days?
Sofia buys an apple every day. If one apple costs £0.35, how much has she spent after 10 days?
Q6.Lucas’ mum has £5,042 and she gives one-hundredth of this to Lucas for his birthday. How much money does she give him?
Lucas’ mum has £5,042 and she gives one-hundredth of this to Lucas for his birthday. How much money does she give him?