Stage 8 · Fractions & decimals
Decimals ÷10, ÷100, ÷1000
Each zero moves the point one place left.
How to do it
Method
Each zero moves the point one place left
325 ÷ 100 = 32.5 ÷ 10 = 3.25
Another way
Move the digits
Each ÷10 moves every digit down a place: 325 ÷ 100 = 3.25
In full
÷10, ÷100 and ÷1000 move the point one, two and three places to the left: 325 ÷ 100 = 3.25. A whole number's point sits at its end: 7 ÷ 1000 moves it three places left from after the 7, filling in zeros at the front → 0.007. Zeros at the end of a decimal aren't written: 40 ÷ 100 = 0.40 = 0.4. Another way to see it: each ÷10 moves every digit down one place.
Worked examples
Have a go first, then open each one for the answer and the working.
Example 1
90.8 ÷ 10
Show the answer and working
Answer: 90.8 ÷ 10 = 9.08
90.8 ÷ 10: ÷10 moves the point one place left, 90.8 ÷ 10 = 9.08
Example 2
188 ÷ 10
Show the answer and working
Answer: 188 ÷ 10 = 18.8
188 ÷ 10: 188 is whole, so its point sits at the end; ÷10 moves the point one place left, 188 ÷ 10 = 18.8
Example 3
4.32 ÷ 100
Show the answer and working
Answer: 4.32 ÷ 100 = 0.0432
4.32 ÷ 100: ÷100 moves the point two places left, filling in zeros at the front, 4.32 ÷ 100 = 0.0432
Example 4
0.37 ÷ 100
Show the answer and working
Answer: 0.37 ÷ 100 = 0.0037
0.37 ÷ 100: ÷100 moves the point two places left, filling in zeros at the front, 0.37 ÷ 100 = 0.0037
Practise decimals ÷10, ÷100, ÷1000 in the game →Stage 8 · Fractions & decimals · Free to start, unlimited questions, no download