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8.2.4 Negative Exponents

Homework

Name ____________________________________________________ Period __________

Work through each of the problems below to practice the concepts from today’s lesson and review concepts from previous lessons. Then review AND FIX work your work using the class website: MrsGainesClassWebsite.. Be sure to always show all work!

8-109. Compute each product or quotient.  Convert the final answer to scientific notation if necessary.  

a. (3 × 102)(2 × 103) b. (2.75 × 10−2)(2.5 × 108) c. [pic]

6 × 105  6.875 × 106 2 × 105

8-110. Use the laws of exponents to simplify the following expressions.  

a. (x2)(x5) b. [pic] c. x3 · x4

x7 y3 x7

8-111. For the following examples, tell whether there is positive association, negative association, or no association.    

a. The number of inches of rain per hour and the height of water in a reservoir. 

Positive

b. The amount of food a person eats and how many pets he or she has. 

None

c. The height of a tree and the amount of nutrients it gets. 

Positive

d. The number of hours spent hiking in the mountains and the amount of water left in your water bottle. 

Negative

8-112. Silvia has a picture from her trip to the Grand Canyon.  The photo is 4 inches tall by 6 inches wide.  

a. She would like to make a larger photo for her wall that is as big as possible.  The widest the enlarged photo can be is 48 inches.  How tall will the enlarged photo be? 

32 inches tall

b. Silvia also wants a wallet-sized photo to carry around and show her friends.  She wants it 1.5 inches tall.  How wide will it be? 

2.25 inches wide

8-113. Since the beginning of school, Steven has been saving money to buy a new MP3 player.  His bank balance is represented by the graph below.  

a. According to the graph, about how much money had Steven saved after 2 weeks of school? 

About $40

b. About how much money did Steven probably have after 4 weeks of school?  How can you tell? 

About $55

c. If he keeps saving at the same rate, how much will he have saved by Week 7?  Explain how you know. 

About $75

8-114. The science club is selling homemade cookies to raise money for a field trip.  The club members know that 12 dozen cookies uses 3 pounds of flour.  Use that information to solve each part below.  

a. How much flour is needed for 18 dozen cookies?

4.5 lbs

b. How many cookies can be made with 10 pounds of flour?  

40 dozen

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