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Expert-verified Found in: Page 18 ### Physics Principles with Applications

Book edition 7th
Author(s) Douglas C. Giancoli
Pages 978 pages
ISBN 978-0321625922 # Express the following using the prefixes of Table 1–4: (a) $\mathbf{1}\mathbf{×}{\mathbf{10}}^{\mathbf{6}}\mathbf{volts}$ (b) $\mathbf{2}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{6}}\mathbf{meters}$(c) $\mathbf{6}\mathbf{×}{\mathbf{10}}^{\mathbf{3}}\mathbf{days}$(d) $\mathbf{18}\mathbf{×}{\mathbf{10}}^{\mathbf{2}}\mathbf{bucks}$ (e) $\mathbf{7}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{7}}\mathbf{seconds}$

The resultant expressions of the given values using prefixes for parts (a), (b), (c), (d), and (e) are $1\mathrm{megavolt}$, $2\mathrm{micrometers}$, $6\mathrm{kilodays}$, $18\mathrm{hectobucks}$, and $0.7\mathrm{microseconds}$, respectively.

See the step by step solution

## Step 1. Use of Prefixes

Prefixes

Prefixes are added at the beginning of words to modify their meaning. In the word unhappy, “un” is the prefix, and “re” is the prefix in the word rewrite.

To express the given value using a prefix, use Table 1–4.

$\begin{array}{c}V=\left(1×{10}^{6}\mathrm{volts}×\frac{1\mathrm{megavolt}}{{10}^{6}\mathrm{volts}}\right)\\ =1\mathrm{megavolt}.\end{array}$

## Step 2. Metric (SI) prefixes

To express the given value using a prefix, use Table 1–4.

$\begin{array}{c}d=\left(2×{10}^{-6}\mathrm{meters}×\frac{1\mathrm{micrometer}}{{10}^{-6}\mathrm{meters}}\right)\\ =2\mathrm{micrometers}.\end{array}$

## Step 3. SI prefixes

To express the given value using a prefix, use Table 1–4.

$\begin{array}{c}t=\left(6×{10}^{3}\mathrm{days}×\frac{1\mathrm{kiloday}}{{10}^{3}\mathrm{days}}\right)\\ =6\mathrm{kilodays}.\end{array}$

## Step 4. Metric prefixes

To express the given value using a prefix, use Table 1–4.

$\begin{array}{c}n=\left(18×{10}^{2}\mathrm{bucks}×\frac{1\mathrm{hectobuck}}{{10}^{2}\mathrm{bucks}}\right)\\ =18\mathrm{hectobucks}\end{array}$

## Step 5. Applications of Prefixes

To express the given value using a prefix, use Table 1–4.

$\begin{array}{c}t=7×{10}^{-7}\mathrm{seconds}\\ =\left(0.7×{10}^{-6}\mathrm{seconds}×\frac{1\mathrm{microsecond}}{{10}^{-6}\mathrm{seconds}}\right)\\ =0.7\mathrm{microseconds}.\end{array}$ ### Want to see more solutions like these? 