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How Many Pieces?

Idea 15of 22Builds onDividing by 1/3 is not dividing by 3Jumps of 1/4 on a number line

Count the jumps from 0 to 2

How many jumps of 1/4 go from 0 to 2?

Today you'll discover

  • how a number line shows division
  • how to count the jumps to a whole number
  • why 2 ÷ 1/4 is 8

Think firstJumps of 1/4, from 0 to 2

A frog jumps 1/4 at a time, from 0 to 2. How many jumps does it make?

Decide first, then press Next. Count the hops, not the whole numbers.

A number line from 0 to 2, a box saying each jump is 1/4 and a flag at 2. Then marks at every quarter, labelled 1/4 to 8/4. Then eight numbered hops from 0 to 2, the last one ringed, and the sentence 2 ÷ 1/4 = 8. The last step shows jumps of 1/2 from 0 to 3.

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

The big idea

2 ÷ 1/4 counts the jumps of 1/4 from 0 to 2: 8 jumps.

Compare themMultiplying: the jumps are given, find where they land. Dividing: where to stop is given, count the jumps.

Key word

jump
one equal step along a number line, the size of the unit fraction

Ready to use it?

  • Use a number line to divide a whole number by a unit fraction.
Practise this idea