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*Contributor: Ashley Nail Murphy. Lesson ID: 13886*

How do you know when a video goes viral? In this lesson, you will learn to look for patterns when multiplying and dividing by powers of 10.

categories

subject

Math

learning style

Kinesthetic, Visual

personality style

Otter, Golden Retriever

Grade Level

Intermediate (3-5)

Lesson Type

Quick Query

Damien wants his video to go viral on the internet. He asks his older sister to help him write an expression to show how many people might view his video in one week.

On the first day, Damien shared his video with four friends. He thinks each friend will then share his video with ten other people. Then, each person will share their video with ten others the next day. This will happen for seven days.

Damien’s sister tells him this is a time to let exponents and the powers of 10 do the work!

She writes the equation 4 x 10^{7} based on the information Damien gives her.

- How can this expression tell you how many people will view Damien’s video?
- Will this plan make Damien’s video go viral?

Before you can help Damien calculate his number of views, you must go over multiplying and dividing with powers of 10.

- What is a power of 10?

A power of 10 is a base of 10 multiplied by 10 as many times as the whole number exponent says to use in the multiplication.

For example, look at some powers of 10.

10¹ = 10

10² = 10 x 10 = 100

10³ = 10 x 10 x 10 = 1,000

10^{4} = 10 x 10 x 10 x 10 = 10,000

- Do you notice any patterns?

Look more closely!

10¹ = 10

- The exponent tells you there is only one 10.
- The exponent is 1, so you write one zero after the 1.

10² = 10 x 10 = 100

- The exponent tells you there are two 10s.
- The exponent is 2, so you write two zeros after the 1.

10³ = 10 x 10 x 10 = 1,000

- The exponent tells you there are three 10s.
- The exponent is 3, so you write three zeros after the 1.

10^{4} = 10 x 10 x 10 x 10 = 10,000

- The exponent tells you there are four 10s.
- The exponent is 4, so you write four zeros after the 1.

Now that you see the patterns, check to make sure you understand the powers of 10!

You are ready to multiply and divide with the powers of 10. You are one step closer to helping Damien go viral!

See if you notice any similar patterns.

Look at the example of a decimal being multiplied by powers of 10.

You know 10¹ is equal to 10. Therefore, you can multiply 8.7 by 10.

When multiplying by 10, you move the decimal point one time to the **RIGHT**.

Look more closely at other examples.

You know 10² is equal to 100. Therefore, you can multiply 8.7 by 100.

When multiplying by 100, you move the decimal point two times to the **RIGHT**.

x 10³ means you move the decimal point three times to the **RIGHT**.

x 10^{4} means you move the decimal point four times to the **RIGHT**.

- Do you notice a pattern?

When multiplying by a power of 10, you will move the decimal point to the **RIGHT** the same number of times as the exponent.

Try finding the next answer in this pattern.

- But what about dividing by powers of 10?

It’s the same pattern; however, when you divide, a number gets smaller, so you move the decimal point to the **LEFT**.

Look at the examples below and see if you can spot the pattern.

Now, try finding the next answer in this pattern.

If you need more help before practicing independently, watch the following video.

When you are ready, click next to visit the *Got It?* section.