Decimals · Usually met around P4
Dividing by 10 and 100
÷ 10: the point moves 1 place left; ÷ 100: 2.
How to do it
Method
÷ 10: the point moves 1 place left; ÷ 100: 2
37 ÷ 100 = 0.37
Another way
As a fraction
37 ÷ 100 = 37100 = 0.37
In full
A whole number divided by 10 moves every digit down one place, so the decimal point moves one place left: 37 ÷ 10 = 3.7. Divided by 100, every digit moves down two places, so the point moves two places left: 37 ÷ 100 = 0.37. When there aren't enough digits, put 0s in front: 5 ÷ 100 = 0.05. 0s at the end of a decimal can go: 250 ÷ 100 = 2.50 = 2.5. Or think of a fraction: 37 ÷ 100 = 37100, that is 37 hundredths, 0.37. Check: 0.37 × 100 = 37.
Worked examples
Have a go first, then open each one for the answer and the working.
Example 1
10 ÷ 100 = □
Show the answer and working
Answer: 0.1
Dividing by 100 moves the point two places left, with 0s in front if needed and none left at the end: 10 ÷ 100 = 0.1.
Example 2
637 ÷ 10 = □, 637 ÷ 100 = □
Fill in each box
Show the answer and working
Answer: 63.7，6.37
÷ 10 moves the point one place left: 63.7; ÷ 100 two places: 6.37.
Example 3
Which is the answer to 468 ÷ 100?
- A. 46.8
- B. 46800
- C. 0.468
- D. 4.68
Choose the right answer
Show the answer and working
Answer: D. 4.68
Dividing by 100 moves the point two places left: 468 ÷ 100 = 4.68.
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