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Chapter 1: Problem 14

Express each number in common decimal form. (a) \(3.21 \times 10^{-2}\) (b) \(5.08 \times 10^{-4}\) (c) \(121.9 \times 10^{-5}\) (d) \(16.2 \times 10^{-2}\)

Short Answer

Expert verified
The common decimal form of the given numbers are - (a) \(0.0321\), (b) \(0.000508\), (c) \(0.001219\) and (d) \(0.162\).

Step by step solution

01

Conversion of \(3.21 \times 10^{-2}\)

Starting with \(3.21 \times 10^{-2}\), move the decimal point two places to the left. The number in common decimal form is \(0.0321\).
02

Conversion of \(5.08 \times 10^{-4}\)

Start with \(5.08 \times 10^{-4}\). Move the decimal point four places to the left. To accommodate for the extra place, a zero is placed at the front. This results in \(0.000508\).
03

Conversion of \(121.9 \times 10^{-5}\)

Next, \(121.9 \times 10^{-5}\) requires moving the decimal point five places to the left. To compensate for the extra places, zeros are added at the front. The resulting number is \(0.001219\).
04

Conversion of \(16.2 \times 10^{-2}\)

Finally, \(16.2 \times 10^{-2}\) requires moving the decimal point two places to the left. The resulting number is \(0.162\).

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