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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.

  1. 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

  2. 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

  3. 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

  4. 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

Practise decimals ×10, ×100, ×1000 in the game →Stage 8 · Fractions & decimals · Free to start, unlimited questions, no download