# Multiply by Powers of Ten

Videos, examples, solutions, stories and songs to help Grade 5 students learn how to multiply and divide by powers of ten.

When we multiply a number by a positive power of 10, we move the decimal point of the number to the right.
When we multiply a number by a negative power of 10, we move the decimal point of the number to the left.
The number of places to move would be equal to the index of 10.

Example:
3 × 104 = 30,000
3 × 10-4 = 0.0003

The following diagrams give more examples of multiplying by positive powers of 10 and negative powers of 10. How to multiply by powers of 10?
Examples:
27 × 100
398 × 1000
29.5 × 10

Multiplying by Powers of Ten
Notice that 10n in expanded form is 1 followed by n zeros.
This video explains how to multiply whole numbers and decimals by powers of ten.

Multiplying a Decimal by a Power of 10
A single postage stamp costs \$0.44. How much would a roll of 1,000 stamps cost?

Multiply & Divide by Powers of Ten
MR - Multiply -> Right
DL - Divide <- Left

Multiply by Powers of 10
In this lesson, you will learn how to multiply numbers by powers of 10. We will learn that multiplying by a power of 10 simply moves the decimal point and allows the student to multiply very rapidly by large numbers.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 