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Unit 7 - Lesson 9 - Grade 8: Illustrative Mathematics

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Grade 8 Unit 7
Lesson 9: Describing Large and Small Numbers Using Powers of 10
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 7
Lesson 9: Describing Large and Small Numbers Using Powers of 10
CC BY 2021 Illustrative Mathematics®
Lesson: Describing Large and Small Numbers Using Powers of 10

Thousand Million Billion Trillion (Warm Up)

Match each expression with its corresponding value and word.

1.

10-3

2.

106

3.

109

4.

10-2

5.

1012

6.

103

7.

For each of the numbers, think of something in the world that is described by that number.

Base-ten Representations Matching

Match each expression to one or more diagrams that could represent it. For each match, explain what the value of a single small square would have to be.
8.

2 · 10-1 + 4 · 10-2

9.

Explain what the value of a single small square would have to be.

10.

2 · 10-1 + 4 · 10-3

11.

Explain what the value of a single small square would have to be.

12.

2 · 103 + 4 · 101

13.

Explain what the value of a single small square would have to be.

14.

2 · 103 + 4 · 102

15.

Explain what the value of a single small square would have to be.

16.

Write an expression to describe the base-ten diagram if each small square represents 10-4. What is the value of this expression?


17.

How does changing the value of the small square change the value of the expression? Explain or show your thinking.

18.

Select at least two different powers of 10 for the small square, and write the
corresponding expressions to describe the base-ten diagram. What is the value of each of your expressions?


Using Powers of 10 to Describe Large and Small Numbers

Your teacher will give you a card that tells you whether you are Partner A or B and gives you the information that is missing from your partner’s statements. Do not show your card to your partner.

Read each statement assigned to you, ask your partner for the missing information, and write the number your partner tells you.
Partner A’s statements:
19.
Around the world, about _______ pencils are made each year.
20.
The mass of a proton is _______ kilograms.
21.
The population of Russia is about _______ people.
22.
The diameter of a bacteria cell is about _______ meter.
Partner B’s statements:
23.
Light waves travel through space at a speed of _______ meters per second.
24.
The population of India is about _______ people.
25.
The wavelength of a gamma ray is _______ meters.
26.
The tardigrade (water bear) is _______ meters long.
Cool Down: Better with Powers of 10

Better with Powers of 10

27.

Write 0.000000123 as a multiple of a power of 10.

28.

Write 123,000,000 as a multiple of a power of 10.