Multiplying decimals by powers of ten worksheets

Multiplying a decimal by 10, 100, or 1000 moves its digits to the left, or, as most classrooms say it, slides the point to the right. These free printable worksheets stick to multiplying so that one direction becomes automatic.

Multiplying decimals by powers of ten
Multiplying decimals by powers of ten worksheet — × by 10, 100, 1000, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

A page of only multiplying has a job the mixed sheet cannot do. When a child is unsure which way the point goes, seeing both directions at once only adds to the muddle. Here every answer gets bigger, so the child can check each one by asking whether it grew.

Why this sheet works

The placeholders are where this goes wrong. 9.9 × 1000 needs two zeros that are not in the question to reach 9,900, and a child who just moves the point as far as the digits allow will stop too soon. Answers keep no needless trailing zero, so 3.26 × 100 is 326 rather than 326.00.

How this one works

9.9 × 1000

9.9×1000
99
990
9900
  1. 1000 is 10 × 10 × 10, so there are 3 moves to make — one for each ten.
  2. × 10 — every digit is worth ten times as much, so the point moves one place right: 99.
  3. × 10 again: 990.
  4. × 10 again: 9900. The digits stay the same — only the point moves. 9.9 × 1000 = 9900.