Multiplying and dividing by 10, 100 and 1000

The Maths Habit

A bank packs loose coins into rolls, and rolls into boxes. What does it do with ten rolls?

?coinsa rolla box

It packs them into one box. Ten of one thing make one of the next.

Multiply by 10
Make ten lots of a number.
Divide by 10
Share a number into ten equal parts.
Exchange
Swap ten counters in one column for one counter in the next column.

ThousandsHundredsTensOnes111111111111111111111010ThousandsHundredsTensOnesStart1010111× 10Count1001001010100230
  1. Make ten of each counter.Ten lots of 2 ones is 20 ones.
  2. Swap each ten for one counter in the next column up.20 ones are 2 tens.
  3. Every counter has moved up one column.23 × 10 = 230

Ten 10 counters. Swap them for one counter. Which one?

ThousandsHundredsTensOnes10101010101010101010100 One 100 counter

Work out 43 × 10. 430

ThousandsHundredsTensOnesStart10101010111× 10Count1001001001001010100430

Work out 61 × 10. 610

ThousandsHundredsTensOnesStart1010101010101× 10100100100100100100Count610010

Work out 43 × 10. 430

ThousandsHundredsTensOnesStart10101010111× 10Count1001001001001010100430

Work out 207 × 10. 2070

ThousandsHundredsTensOnesStart1001001111111× 10Count10001000101010101010102070

Work out 43 × 10. 430

ThousandsHundredsTensOnesStart10101010111× 10Count1001001001001010100430

Work out 35 × 100. 3500

ThousandsHundredsTensOnesStart10101011111× 100100010001000Count3100100100100100500

Work out 43 × 10. 430

ThousandsHundredsTensOnesStart10101010111× 10Count1001001001001010100430

Work out 8 × 1000. 8000

ThousandsHundredsTensOnesStart11111111× 1000Count100010001000100010001000100010008000

Work out 43 × 10. 430

ThousandsHundredsTensOnesStart10101010111× 10Count1001001001001010100430

Find the missing number. ? × 10 = 360 36

ThousandsHundredsTensOnesStart× 10100100100101010101010Count0360101010111111

Multiplying and dividing by 10, 100 and 1000 worksheet, page 1

One 100 counter. Swap it for counters in the next column down. Which, and how many?

ThousandsHundredsTensOnes10010101010101010101010 Ten 10 counters

Work out 560 ÷ 10. 56

ThousandsHundredsTensOnesStart100100100100100101010101010÷ 10Count10101010101111110056

Work out 940 ÷ 10. 94

ThousandsHundredsTensOnesStart10010010010010010010010010010101010÷ 10101010101010101010Count91111004

Work out 560 ÷ 10. 56

ThousandsHundredsTensOnesStart100100100100100101010101010÷ 10Count10101010101111110056

Work out 2700 ÷ 100. 27

ThousandsHundredsTensOnesStart10001000100100100100100100100÷ 100Count101011111110027

Multiplying and dividing by 10, 100 and 1000 worksheet, page 2

Answer sheet

Is it right? Thumbs up or thumbs down.

  1. 34 × 10 = 340

    Thumbs up
  2. 50 × 10 = 5000

    Thumbs down: it is 500
  3. 800 ÷ 10 = 8

    Thumbs down: it is 80
  4. 25 × 100 = 2500

    Thumbs up
  5. 6000 ÷ 100 = 60

    Thumbs up

  1. Work out 45 × 10 × 10.

    4500
  2. Which is bigger, 30 × 100 or 300 × 10?

    Neither: both are 3000
  3. I multiply a number by 100 and get 7000. What was my number?

    70

  1. Work out 46 × 10.

    460
  2. Work out 38 × 100.

    3800
  3. Work out 720 ÷ 10.

    72
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