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Another Peek Beyond the Point

Track quiz

Eleven ideas, eleven checks. The table sits first, so you can look back.

Eleven moves for multiplying and sharing decimals
IdeaHow it goes
Times tenEach digit moves one column left per zero.
Share into tenEach digit moves one column right per zero.
Times a whole numberMultiply the digits. Put the point back.
Times another decimalMultiply the digits. Add the place counts.
Which way it movesBelow 1 shrinks a number above 0. Above 1 grows it.
Sharing it outShare column by column. Carry the leftover.
The other nameMake the bottom 10, 100 or 1000, if some number can.
RatesA rate times an amount gives the bill.
Divide by a decimalMultiply both numbers by the same 10, 100 or 1000. The answer does not change.
Divide by less than 1A divisor below 1 makes a number above 0 grow. Above 1 it shrinks.
Never-ending sharingEither a remainder is 0 and the division ends. Or one comes back and the digits repeat.

What is 4.8 × 100?

  • 48
  • 4800
  • 480

What is 6 ÷ 100?

  • 0.6
  • 0.06
  • 0.006

What is 1.2 × 5?

  • 6
  • 60
  • 0.6

You know 13 × 12 = 156. What is 1.3 × 1.2?

  • 15.6
  • 1.56
  • 0.156

Is 0.6 × 0.5 more or less than 0.5?

  • More than 0.5
  • The same as 0.5
  • Less than 0.5

What is 7.2 ÷ 4?

  • 18
  • 1.8
  • 0.18

Which decimal is the same as 7/4?

  • 1.75
  • 7.4
  • 0.175

Ribbon costs ₹35 a metre. What do 1.2 m cost?

  • ₹4.20
  • ₹42
  • ₹420

Which sum has the same answer as 4.8 ÷ 0.6?

  • 4.8 ÷ 6
  • 480 ÷ 6
  • 48 ÷ 6

Is 7 ÷ 0.2 more or less than 7?

  • More than 7
  • Less than 7
  • The same as 7

In 2 ÷ 11 the remainders go 2, 9, then 2 again. What happens next?

  • The division ends
  • The digits turn to 0
  • The digits 1 and 8 repeat

Part II, Chapter 4 is called Another Peek Beyond the Point. You have moved digits, placed points and shared a decimal.

Next: Connecting the Dots…

Mean and median tell you about a set of numbers.

Jump to lesson

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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