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Chapter 5: Q. 5.46 (page 518)

Convert to decimal form:

鈸�鈭�9.5脳104鈸�7.5脳10鈭�2

Short Answer

Expert verified

The decimal form of the given number鈭�9.5脳104=鈭�95,000

The decimal form of the given number7.5脳10鈭�2=0.075

Step by step solution

01

Step 1. Given Information 

In the given question we have to convert the given number in decimal form:

鈸�鈭�9.5脳104鈸�7.5脳10鈭�2

02

Part (a) Step 1. The given number is −9.5×104

Determine the exponent, n, on the factor 10.

The exponent is 4.

Since the exponent is positive, move the decimal point 4places to the right.

Add zeros as needed for placeholders.

鈭�9.5脳104=鈭�9.5脳10000鈭�9.5脳104=鈭�95,000

03

Part (b) Step 1. The given number is 7.5×10−2

Determine the exponent, n, on the factor 10.

The exponent is 鈭�2.

Since the exponent is negative, move the decimal point 2 places to the left.

Add zeros as needed for placeholders.

7.5脳10鈭�2=7.5脳11027.5脳10鈭�2=7.5脳11007.5脳10鈭�2=0.075

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