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Unit 7 - Lesson 5 - Grade 8: Illustrative Mathematics

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Grade 8 Unit 7
Lesson 5: Negative Exponents with Powers of 10
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 7
Lesson 5: Negative Exponents with Powers of 10
CC BY 2021 Illustrative Mathematics®
Lesson: Negative Exponents with Powers of 10

Number Talk: What's That Exponent? (Warm Up)

Solve each equation mentally.
1.

2.

3.

4.

Negative Exponent Table

5.

Complete the table to explore what negative exponents mean.

6.

As you move toward the left, each number is being multiplied by 10. What is the multiplier as you move right?

7.

How does a multiplier of 10 affect the placement of the decimal in the product? How does the other multiplier affect the placement of the decimal in the product?


8.

Use the patterns you found in the table to write 10-7 as a fraction.

9.

Use the patterns you found in the table to write 10-5 as a decimal.

10.

Write 1/100,000,000 using a single exponent.

11.

Use the patterns in the table to write
10-n as a fraction.

Follow the Exponent Rules

Match each exponential expression with an equivalent multiplication expression:

12.

(102)3

13.

(102)-3

14.

(10-2)3

15.

(10-2)-3

16.

Write(102)-3 as a power of 10 with a single exponent. Be prepared to explain your reasoning.


Match each exponential expression with an equivalent multiplication expression:
17.

18.

19.

20.

21.

Write the following as a power of 10 with a single exponent.


Be prepared to explain your reasoning.


Match each exponential expression with an equivalent multiplication expression:
22.

23.

24.

25.

26.

Write the following as a power of 10 with a single exponent.


Be prepared to explain your reasoning.


Cool Down: Negative Exponent True or False

Negative Exponent True or False

Mark each of the following equations as true or false. Explain or show your reasoning.
27.

28.

Explain or show your reasoning.

29.

30.

Explain or show your reasoning.

31.

32.

Explain or show your reasoning.