Multiplying and dividing decimals, step by step

Multiplying and dividing decimals extends the whole-number algorithms a child already owns.

The question

1.2 ÷ 4

1.2÷4
1.2÷4=0.3
0.3×4=1.2
  1. The number you are dividing by is already whole, so there is nothing to move: divide as usual and the point in the answer comes straight down.
  2. Now divide: 1.2 ÷ 4 = 0.3.
  3. Check it the other way round: 0.3 × 4 should give 1.2 back. A point in the wrong place fails this instantly — 1.2 and a tenth of it are not close.

How it works.

  1. 01

    The number you are dividing by is already whole, so there is nothing to move: divide as usual and the point in the answer comes straight down.

  2. 02

    Now divide: 1.2 ÷ 4 = 0.3.

  3. 03

    Check it the other way round: 0.3 × 4 should give 1.2 back. A point in the wrong place fails this instantly — 1.2 and a tenth of it are not close.