Word problems — division

Word problems — division

Division problems

Division is splitting into equal parts. Two patterns:

Pattern 1 — sharing (how many in each group?)

We have 24 sweets and want to share them equally between 4 children. How many sweets does each child get?

  • 24 ÷ 4 = 6.
  • Answer: 6 sweets each.

Words: share, equally, each, between.

Pattern 2 — grouping (how many groups?)

We have 24 apples and want to put them into bags of 4 apples. How many bags?

  • 24 ÷ 4 = 6.
  • Answer: 6 bags.

Words: bags of, groups of, how many.

They're the same calculation, different question

Both 24 ÷ 4 = 6 — but the answer is different in meaning:

  • 6 sweets each (when sharing among 4).
  • 6 bags (when bagging in 4s).

Inverse multiplication

If you know the multiplication facts, you have division for free:

"How many groups of 7 in 56?"

Ask: "7 × ? = 56". Answer: 7 × 8 = 56, so 8 groups.

Try it

Summary

  • Two patterns: sharing and grouping.
  • Both use ÷, just answer different questions.
  • "Equally / share / per" → division.
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