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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Multiply by Powers of Ten Worksheets

Multiplication Worksheets

Multiplication Games

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.

**Explaining patterns in zeros and decimals when multiplying and dividing by powers of 10**

In this lesson you will learn to multiply whole numbers and decimals by powers of ten by using your understanding of place value.

Multiply Decimals by 10 and its Powers

Learn to multiply decimals by 10 and its powers.**Multiply Decimals by Multiples of 10**

Learn to multiply decimals by multiples of 10.**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.

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

Related Topics:

More Grade 5 Math Lessons

Multiply by Powers of Ten Worksheets

Multiplication Worksheets

Multiplication Games

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.

3 × 10

3 × 10

Examples:

27 × 100

398 × 1000

29.5 × 10

Notice that 10

This video explains how to multiply whole numbers and decimals by powers of ten.

In this lesson you will learn to multiply whole numbers and decimals by powers of ten by using your understanding of place value.

Multiply Decimals by 10 and its Powers

Learn to multiply decimals by 10 and its powers.

Learn to multiply decimals by multiples of 10.

A single postage stamp costs $0.44. How much would a roll of 1,000 stamps cost?

MR - Multiply > Right

DL - Divide < Left

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.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

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

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