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

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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 × 10^{4} = 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 10^{n} 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.

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