Multiplying and dividing by 10 and 100
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What you will learn
By the end, you can multiply and divide a whole number by 10 and 100 in your head.
Write 4. Multiply it by 10 and the digit slides one place left: 40. Multiply by 100 and it slides two places: 400. The digits do not change — they just move to a bigger or smaller place value.
Read the explanation
Multiplying by 10 moves every digit one place to the left, so each digit is worth ten times more. Multiplying by 100 moves it two places left. Dividing by 10 moves every digit one place to the right, so each digit is worth ten times less. Dividing by 100 moves it two places right.
- × 10: digits move one place left.
- × 100: digits move two places left.
- ÷ 10: digits move one place right.
- ÷ 100: digits move two places right.