Multiplying and dividing a number by 10, 100 and 1,000
I can explain the effect of multiplying and dividing a number by 10, 100 and 1,000
Multiplying and dividing a number by 10, 100 and 1,000
I can explain the effect of multiplying and dividing a number by 10, 100 and 1,000
Lesson details
Key learning points
- To multiply a number by 1,000 move the digits three places to the left - this makes the number 1,000 times the size.
- To divide a number by 1,000 move the digits three places to the right - this makes the numbers 1,000th times the size.
- A place value chart can be used to explain how the digits move when you multiply or divide by 10, 100 and 1,000.
- Use a Gattengo chart can be used to explain how the digits move when you multiply divide by 10, 100 and 1,000.
- Dividing by 10, 100 or 1,000 is equivalent to multiplying by 0.1, 0.01 or 0.001 respectively.
Common misconception
Children may confuse use of the Base 10 equipment. They may also confuse the equivalence between dividing by 10/100/1,000 and multiplying by 0.1/0.01/0.001.
The large cube now represents one whole. The smaller blocks represent decimal fraction numbers. Use stem sentences to support common mistakes: when a number is divided by ___, it is the same as multiplying by ___
Keywords
Thousandth - One-thousandth is one part in one thousand equal parts.
Equivalent - If something is equivalent, it has the same value. For example, £1 is equivalent to 100 p - they have the same value.
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).
Video
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Starter quiz
6 Questions
50
600
80
800
40
500
6,000
8
80
5
Exit quiz
6 Questions
1 × 0.1
0.1 × 0.1
1 × 0.001
0.01 × 0.01
0.1 × 1
5,000
5
6
500
60
50