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Another Peek Beyond the Point

A smaller answer

You have 8 m of cloth and use 0.5 of it. How much is used?

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8 × 0.5 = 4 (smaller). 8 × 1 = 8 (same). 8 × 1.5 = 12 (bigger).

The rule

4 m is used. 0.5 is half, and half of 8 is 4.

The multiplier is the number you multiply by. Here every number is above 0.

Look at the multiplier. Below 1, the answer is smaller than the other number. Above 1, the answer is bigger. At 1, nothing changes.

Why? A number below 1 takes only part of the other number.

Check with a rough size, a quick near guess. 3.9 × 0.5 is about half of 4, which is 2. Working it out: 39 × 5 = 195. Two places give 1.95.

Three cases
You multiply byThe answer isExample
A number below 1Smaller than the other number8 × 0.5 = 4
1The same as the other number8 × 1 = 8
A number above 1Bigger than the other number8 × 1.5 = 12

Two numbers below 1 give an answer smaller than both. 0.6 × 0.5 = 0.3, because 6 × 5 = 30 and two places give 0.30.

One number above 1 and one below? The answer is between them. 8 × 0.5 = 4, and 4 is between 0.5 and 8.

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This track

  1. 0 Start here
  2. 1 Times ten
  3. 2 Share into ten
  4. 3 Times a whole number
  5. 4 Times a decimal
  6. 5 A smaller answer
  7. 6 Sharing a decimal
  8. 7 Two names again
  9. 8 Decimals at work
  10. 9 Dividing by a decimal
  11. 10 Dividing by less than 1
  12. 11 Sharing that never ends
  13. 12 Checkpoint
  14. 13 The big picture
  15. 14 Track quiz

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