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.
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
Do NOT line the points up — that is for adding. For a multiply, take the points off and do it as whole numbers first.
306 × 51 = 15606. Ordinary times-tables, nothing decimal about it.
Now count the figures after the points in the QUESTION: 2 figures in 3.06 and 2 figures in 0.51 — 4 altogether.
So the answer gets 4 too. Count 4 in from the right of 15606 and put the point there: 1.5606.