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Another Peek Beyond the Point

Times a whole number

You cut three pieces of tape, 1.2 m each. How much tape is that?

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Start at 0 on the line.
Step 1 of 4
  1. Start at 0 on the line.
  2. Hop 1.2. Land on 1.2.
  3. Hop 1.2 again. Land on 2.4.
  4. Hop 1.2 again. Land on 3.6.

The rule

Three pieces of 1.2 m make 3.6 m of tape.

Adding works: 1.2 + 1.2 + 1.2 = 3.6. Adding is slow for big counts.

Remove the point and multiply the digits as whole numbers. Then give the answer the same number of places. Places are the digits after the point.

1.2 becomes 12. 12 × 3 = 36. 1.2 has one place, so the answer has one place: 3.6.

Why? 1.2 is 12 tenths. 36 tenths is 3.6.

Digits first, point put back after
SumDigitsPlacesAnswer
1.2 × 312 × 3 = 3613.6
2.5 × 425 × 4 = 100110
0.35 × 635 × 6 = 21022.1

Watch out!

Do not multiply the two sides of the point apart. 3.75 × 2 is 7.5. Splitting gives 3 × 2 = 6 and 75 × 2 = 150. Those do not join into 7.5.

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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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