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Chapter 5: Q. 5.47 (page 519)

Multiply or divide as indicated. Write answers in decimal form:

鈸�(鈭�3脳105)(2脳10鈭�8)鈸�8脳1024脳10鈭�2

Short Answer

Expert verified

The decimal form of the given expression is(鈭�3脳105)(2脳10鈭�8)=鈭�0.006

The decimal form of the given expression is 8脳1024脳10鈭�2=20,000

Step by step solution

01

Step 1. Given Information

In the given question we have to multiply or divide and write answers in decimal form:

鈸�(鈭�3脳105)(2脳10鈭�8)鈸�8脳1024脳10鈭�2

02

Part (a) Step 1. The given expression is (−3×105)(2×10−8)

Use the Commutative Property to rearrange the factors.

(鈭�3脳105)(2脳10鈭�8)=鈭�3路2路105路10鈭�8

Multiply.

(鈭�3脳105)(2脳10鈭�8)=鈭�6路10鈭�8+5(鈭�3脳105)(2脳10鈭�8)=鈭�6路10鈭�3

Change to decimal form by moving the decimal three places left.

localid="1644848477894" (鈭�3脳105)(2脳10鈭�8)=鈭�6路1103(鈭�3脳105)(2脳10鈭�8)=鈭�6路11000(鈭�3脳105)(2脳10鈭�8)=鈭�0.006

03

Part (b) Step 1. The given expression is 8×1024×10−2

Separate the factors, rewriting as the product of two fractions.

8脳1024脳10鈭�2=84脳10210鈭�2

Divide.

8脳1024脳10鈭�2=2脳104

Change to decimal form by moving the decimal four places right.

8脳1024脳10鈭�2=20,000

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