Chapter 5: Q. 5.45 (page 518)

Convert to decimal form:
$ⓐ 1.3 \times 10^{3} ⓑ - 1.2 \times 10^{- 4}$

Short Answer

Expert verified

The decimal form of the given number $1.3 \times 10^{3} = 1300$

The decimal form of the given number $- 1.2 \times 10^{- 4} = - 0.00012$

Step by step solution

Step 1. Given Information

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

ⓐ 1.3 \times 10^{3} ⓑ - 1.2 \times 10^{- 4}

Part (a) Step 1. The given number is 1.3 × 103

Determine the exponent, n, on the factor 10.

The exponent is 3.

Since the exponent is positive, move the decimal point 3 places to the right.

Add zeros as needed for placeholders.

$1.3 \times 10^{3} = 1.3 \times 1000 1.3 \times 10^{3} = 1300$

Part (b) Step 1. The given number is −1.2 × 10−4

Determine the exponent, n, on the factor 10.

The exponent is $- 4$ .

Since the exponent is negative, move the decimal point $4$ places to the left.

Add zeros as needed for placeholders.

$- 1.2 \times 10^{- 4} = - 1.2 \times \frac{1}{10^{4}} - 1.2 \times 10^{- 4} = - 1.2 \times \frac{1}{10000} - 1.2 \times 10^{- 4} = - 0.00012$

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Convert to decimal form:
$ⓐ 1.3 \times 10^{3} ⓑ - 1.2 \times 10^{- 4}$

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. The given number is 1.3 × 103

Part (b) Step 1. The given number is −1.2 × 10−4

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Convert to decimal form:ⓐ1.3×103ⓑ−1.2×10−4

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. The given number is 1.3 × 103

Part (b) Step 1. The given number is −1.2 × 10−4

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Statistics

Study anywhere. Anytime. Across all devices.

Convert to decimal form:
$ⓐ 1.3 \times 10^{3} ⓑ - 1.2 \times 10^{- 4}$