Stage 8 · Fractions & decimals
Decimals ×10, ×100, ×1000
Each zero moves the point one place right.
How to do it
Method
Each zero moves the point one place right
3.25 × 100 = 32.5 × 10 = 325
Another way
Move the digits
Each ×10 moves every digit up a place: 3.25 × 100 = 325
In full
×10, ×100 and ×1000 move the point one, two and three places to the right: 3.25 × 100 = 325. Run out of digits and you fill in zeros: 4.6 × 100 = 460. Zeros left at the front aren't written: 0.047 × 100 = 4.7. Another way to see it: each ×10 moves every digit up one place.
Worked examples
Have a go first, then open each one for the answer and the working.
Example 1
18.8 × 10
Show the answer and working
Answer: 18.8 × 10 = 188
18.8 × 10: ×10 moves the point one place right, 18.8 × 10 = 188
Example 2
9.08 × 10
Show the answer and working
Answer: 9.08 × 10 = 90.8
9.08 × 10: ×10 moves the point one place right, 9.08 × 10 = 90.8
Example 3
0.037 × 1000
Show the answer and working
Answer: 0.037 × 1000 = 37
0.037 × 1000: ×1000 moves the point three places right, and the zeros left at the front aren't written, 0.037 × 1000 = 37
Example 4
0.432 × 1000
Show the answer and working
Answer: 0.432 × 1000 = 432
0.432 × 1000: ×1000 moves the point three places right, and the zeros left at the front aren't written, 0.432 × 1000 = 432