Unit 7 - Lesson 6 - Grade 8: Illustrative Mathematics

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18 Questions

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Grade 8 Unit 7
Lesson 6: What about Other Bases?
CC BY 2021 Illustrative Mathematics®

Instructions

Grade 8 Unit 7
Lesson 6: What about Other Bases?
CC BY 2021 Illustrative Mathematics®

Lesson: What about Other Bases?

True or False: Comparing Expressions with Exponents (Warm Up)

Is each statement true or false? Be prepared to explain your reasoning.

Explain your reasoning.

What Happens with Zero and Negative Exponents?

Complete the table to show what it means to have an exponent of zero or a negative exponent.

10.

As you move toward the left, each number is being multiplied by 2. What is the multiplier as you move toward the right?

11.

Use the patterns you found in the table to write 2-6 as a fraction.

12.

Write 1/32 as a power of 2 with a single exponent.

13.

What is the value of 20?

14.

From the work you have done with negative exponents, how would you write 5-3 as a fraction?

15.

How would you write 3-4 as a fraction?

Exponent Rules with Bases Other than

Lin, Noah, Diego, and Elena decide to test each other’s knowledge of exponents with bases other than 10. They each chose an expression to start with and then came up with a new list of expressions; some of which are equivalent to the original and some of which are not.

16.

Choose 2 of the 4 lists to analyze. For each list of expressions you choose to analyze, decide which expressions are not equivalent to the original. Be prepared to explain your reasoning.

Cool Down: Spot the Mistake

Spot the Mistake

17.

Diego was trying to write 23 · 22 with a single exponent and wrote
23 · 22 = 23·2 = 26. Explain to Diego what his mistake was and what the answer should be.

18.

Unit 7 - Lesson 6 - Grade 8: Illustrative Mathematics

True or False: Comparing Expressions with Exponents (Warm Up)

Explain your reasoning.

Explain your reasoning.

Explain your reasoning.

Explain your reasoning.

What Happens with Zero and Negative Exponents?

Complete the table to show what it means to have an exponent of zero or a negative exponent.

As you move toward the left, each number is being multiplied by 2. What is the multiplier as you move toward the right?

Use the patterns you found in the table to write 2-6 as a fraction.

Write 1/32 as a power of 2 with a single exponent.

What is the value of 20?

From the work you have done with negative exponents, how would you write 5-3 as a fraction?

How would you write 3-4 as a fraction?

Exponent Rules with Bases Other than

Choose 2 of the 4 lists to analyze. For each list of expressions you choose to analyze, decide which expressions are not equivalent to the original. Be prepared to explain your reasoning.

Spot the Mistake

Diego was trying to write 23 · 22 with a single exponent and wrote 23 · 22 = 23·2 = 26. Explain to Diego what his mistake was and what the answer should be.

Andre was trying to write the following as a single exponentAndre wroteExplain to Andre what his mistake was and what the answer should be.

Diego was trying to write 23 · 22 with a single exponent and wrote
23 · 22 = 23·2 = 26. Explain to Diego what his mistake was and what the answer should be.

Andre was trying to write the following as a single exponent

Andre wrote

Explain to Andre what his mistake was and what the answer should be.