Chapter 5: Q. 5.46 (page 518)

Convert to decimal form:
$ⓐ - 9.5 \times 10^{4} ⓑ 7.5 \times 10^{- 2}$

Short Answer

Expert verified

The decimal form of the given number $- 9.5 \times 10^{4} = - 95, 000$

The decimal form of the given number $7.5 \times 10^{- 2} = 0.075$

Step by step solution

Step 1. Given Information

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

$ⓐ - 9.5 \times 10^{4} ⓑ 7.5 \times 10^{- 2}$

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 $4$ places to the right.

Add zeros as needed for placeholders.

$- 9.5 \times 10^{4} = - 9.5 \times 10000 - 9.5 \times 10^{4} = - 95, 000$

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

Determine the exponent, n, on the factor 10.

The exponent is −2.

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

Add zeros as needed for placeholders.

$7.5 \times 10^{- 2} = 7.5 \times \frac{1}{10^{2}} 7.5 \times 10^{- 2} = 7.5 \times \frac{1}{100} 7.5 \times 10^{- 2} = 0.075$

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Convert to decimal form:
$ⓐ - 9.5 \times 10^{4} ⓑ 7.5 \times 10^{- 2}$

Short Answer

Step by step solution

Step 1. Given Information

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

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

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Convert to decimal form:ⓐ−9.5×104ⓑ7.5×10−2

Short Answer

Step by step solution

Step 1. Given Information

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

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Geometry

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Discrete Mathematics

Probability and Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Convert to decimal form:
$ⓐ - 9.5 \times 10^{4} ⓑ 7.5 \times 10^{- 2}$