Multiplying decimals, step by step

Multiplying decimals is a whole-number multiplication with the point put back afterwards.

The question

3.29 × 8.04

3.29×8.04
329×804=264516
3.29→ 2 figures
8.04→ 2 figures
2645164 from the right
3.29×8.04=26.4516
  1. Do NOT line the points up — that is for adding. For a multiply, take the points off and do it as whole numbers first.
  2. 329 × 804 = 264516. Ordinary times-tables, nothing decimal about it.
  3. Now count the figures after the points in the QUESTION: 2 figures in 3.29 and 2 figures in 8.04 — 4 altogether.
  4. So the answer gets 4 too. Count 4 in from the right of 264516 and put the point there: 26.4516.

How it works.

  1. 01

    Do NOT line the points up — that is for adding. For a multiply, take the points off and do it as whole numbers first.

  2. 02

    329 × 804 = 264516. Ordinary times-tables, nothing decimal about it.

  3. 03

    Now count the figures after the points in the QUESTION: 2 figures in 3.29 and 2 figures in 8.04 — 4 altogether.

  4. 04

    So the answer gets 4 too. Count 4 in from the right of 264516 and put the point there: 26.4516.