Multiplying decimals worksheets

Multiplying decimals is a whole-number multiplication with the point put back afterwards, and knowing where it goes is the entire skill. These free printable worksheets mix multiplying by a whole number and by another decimal.

Kid stuck on one? You don’t just get the sheet.

Multiplying decimals
Multiplying decimals worksheet — × whole and × decimal, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

Ignore the points, multiply as though everything were whole, then count the decimal places in the question and give the answer the same number. 3.06 × 0.51 has four places between them, so the answer has four: 1.5606. Counting rather than guessing is what makes this reliable, and it works every time.

Why this sheet works

The result of multiplying by a number below one is smaller than what you started with, and that surprises children who have spent five years watching multiplication make things bigger. It is worth naming out loud — half of eight is four, and 0.5 × 8 is the same sentence.

How this one works

One question from this sheet, worked through a step at a time.

3.06 × 0.51

3.06×0.51
306×51=15606
3.06→ 2 figures
0.51→ 2 figures
156064 from the right
3.06×0.51=1.5606
  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. 306 × 51 = 15606. Ordinary times-tables, nothing decimal about it.
  3. Now count the figures after the points in the QUESTION: 2 figures in 3.06 and 2 figures in 0.51 — 4 altogether.
  4. So the answer gets 4 too. Count 4 in from the right of 15606 and put the point there: 1.5606.