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Multiplication & Division

Idea 19of 24Builds onThe area model for 23 × 14

Division finds a missing side

How is dividing like finding a side of a rectangle?

Today you'll discover

  • what the area and the known side are
  • how chunks build the missing side
  • the names of the three numbers

Think firstArea 336, one side 14

A rectangle has an area of 336 and one side of 14. How long is the other side?

Decide first, then press Next. Look for the side that is missing.

A long rectangle with 14 beside its left edge, 336 inside it and a question mark over it. It fills with parts: 10 × 14 = 140, again 10 × 14 = 140, then 4 × 14 = 56, with 10, 10 and 4 over them. On the right, the column 336, minus 140, 196, minus 140, 56, minus 56, 0. Then 10 + 10 + 4 = 24 across the top. The last step shows 391 tiles and a side of 17.

See the whole ideathe big idea and the key word, in one place

The big idea

Division finds a missing side: the area divided by the side you know.

Compare themDividend: the total you divide (336). Divisor: what you divide by (14). Quotient: the answer (24).

Where it goes nextFloors, gardens and seating plans: when you know the total and one side, divide to find the other.

Key words

dividend
the number being divided: in 336 ÷ 14, it is 336
divisor
the number you divide by: in 336 ÷ 14, it is 14
quotient
the answer to a division: in 336 ÷ 14 = 24, it is 24

Ready to use it?

  • Draw an area model for a division.
  • Find a missing side from an area and one side.
Practise this idea