This worksheet explains and practices multiplying and dividing by a power of ten. It includes a mix of whole numbers and decimals.

Multiplying whole numbers or decimals by powers of ten is like magic because it's super easy! When you multiply a number by 10, 100, or 1,000 (powers of ten), you add zeros to the end. For example, if you multiply 3 by 10, you add one zero to get 30. If it's 3 times 100, you add two zeros to get 300. For decimals, you move the decimal point to the right. So, 2.5 multiplied by 10 becomes 25 because you move the decimal one place to the right.

Similarly, you need to move the decimal point to the left to divide whole numbers or decimals by powers of ten. The number of places you move the decimal is how many zeros are in the power of ten. So, if you're dividing by 10, move the decimal one place to the left. If you're dividing by 100, move it two places left. For whole numbers, remember there's an invisible decimal at the end. So, 50 divided by 10 becomes 5.0, and 3.45 divided by 100 becomes 0.0345.