8Th Grade Math Packet

At-HomeLearning Instructions for 5.11-5.22

8th grade Math Packet

Notes & Assignments for 5.11-5.22

Lesson: 1.3 Powers of Monomials ○ p. 25-30 ○ Work through the lesson: complete Learn- Examples- Check- Apply Assignment: Practice 1.3 D ue Friday 5.15 ● P.31-32 ● You will need to submit this assignment to your teacher

Lesson: 1.4 Zero & Negative Exponents ○ p. 33-40 ○ Work through the lesson: complete Learn- Examples- Check- Apply Assignment: Practice 1.4 D ue Friday 5.22 ● P. 41-42 ● You will need to submit this assignment to your teacher

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30 MATERIAL

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Practice 1-3: Powers of Monomials Practice

Simplify each expression. (Examples 1-4)

1. (72)3 = ______2. (83)3 = ______

3. (d7)6 = ______4. (z7)3 = ______

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5. (2m5)6 = ______6. (7a5b6)4 = ______

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9. Which is greater: 1,000 or (62)3? Explain. 10. Multiselect Select all of the expressions that simplify to the same expression.

3 4 2 (x y ) 2 2 (x y) 3 2 6 (x ) y 6 4 2 x (y ) 3 2 2 4 (x ) (y )

Powers of Monomials Practice 31 NAME ______DATE ______PERIOD ______

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11. A square floor has a side length of 7x5y6 units. A square tile has a side length of x2y units. How many tiles will it take to cover the floor?

12. A cube has a side length of 3x6 units. A smaller cube has a side length of x2 units. How many smaller cubes will fit in the larger cube?

13. Make an argument for why (42)4 = (44)2. 14. Persevere with Problems Describe all the $ ! # positive integers that would make less " ! & than . Explain your reasoning. "

15. Without computing, determine which 16. Identify Structure Charlotte states that (43)3 number is greater, [(–4)4]5 or –[(412)3]. can be rewritten as 218. Explain how she is Explain your reasoning. correct.

Powers of Monomials Practice 32 THIS 033-042_MSM_SE_C3M1_L4_667375.indd MATERIAL

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IS Copyright © McGraw-Hill Education PROVIDED See students’ arguments. 10 timeslarger;Seestudents’ work. your solution. 4 Use yourstrategytosolvetheproblem. 3 2 Third Time Second Time First Time Discuss thesequestionswithapartner. problem tosolve. You maywanttoreadtheproblemthreetimes. Make sureyouunderstandexactly whatquestiontoansweror 1 10 is for wire jewelry of acertain 0.001 diameter. in inch The diameter about is hair of human strand One power of 10. of a as hair? Write decimal the astrand than wire diameter of the the See students’ strategies.

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40 MATERIAL

033-042_MSM_SE_C3M1_L4_667375.indd THIS NAME ______DATE ______PERIOD ______

Zero and Negative Exponents Practice

Simplify each expression. (Example 1)

1. 460 = ______2. w0, where w ¹ 0 ______

Express each using a positive exponent. (Example 2)

3. 8–4 = ______4. y–9 = ______(z7)3 = ______

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Express each fraction using a negative exponent. (Example 3)

! ! 5. = ______6. = ______"# !$%

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Simplify each expression. (Examples 4 and 5)

7. 94 • 9–6 = ______8. y–9 • y3 = ______

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13. A dish containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10–16 kilometer. How many times larger is the diameter of the dish than the diameter of the bacterium?

14. The table shows the diameters of two objects. How many Object Diameter (m) times larger is the diameter of a pinhead than the Cloud Water diameter of a cloud water droplet? 10–5 Droplet Pinhead 0.001

15.Without evaluating, order 5–7, 54, and 50 from 16. Persevere with Problems Explain how to find least to greatest. Explain your reasoning. ! /1 the value of . 1'*

17. Determine if the following numerical 18. Determine if the following statement is true expressions are equivalent. Explain your or false. Explain your reasoning. reasoning. If a number between 0 and 1 is raised to a 1 ! $ negative power, the result is a number greater and [(10–4)3]0 !$'* than 1.

Zero and Negative Exponents Practice 42