Chapter 2

Division Within 10 000

Division shares into equal groups — the opposite of multiplying.

Sharing equally

Division means sharing into equal groups. 12 ÷ 3 asks: if we share 12 into 3 equal groups, how many in each? The answer is 4.

Key idea

Division is the opposite of multiplication. Because 3 × 4 = 12, we know 12 ÷ 3 = 4 and 12 ÷ 4 = 3.

Worked example

Worked example

Work out 369 ÷ 3.

Hundreds: 3 ÷ 3 = 1
Tens: 6 ÷ 3 = 2
Ones: 9 ÷ 3 = 3

So 369 ÷ 3 = 123.

Check by multiplying

Check: 123 × 3 = 369. Correct! Multiplying back tells you the sharing was right.

Remember

  • Division shares into equal groups.
  • It is the opposite of multiplication.
  • Check by multiplying your answer back.

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