Chapter 1, Problem 1.38QP

(a)

Interpretation Introduction

Interpretation:

The unit conversion for the given set of numbers has to be given.

To give: unit conversion for the given number

Conversion of meter to decimeter unit

$\text{22}\text{.6}\text{m}\text{×}\frac{\text{1}\text{dm}}{\text{0}\text{.1}\text{m}}\text{=}\text{226}\text{dm}$

(b)

Interpretation Introduction

Interpretation:

The unit conversion for the given set of numbers has to be given.

To give: unit conversion for the given number

Conversion of milligram to kilogram unit

$\begin{array}{l}\text{25}\text{.4}\text{mg}\text{×}\frac{\text{1}\text{×}{\text{10}}^{\text{-3}}\text{g}}{\text{1}\text{mg}}\text{×}\frac{\text{1}\text{×}{\text{10}}^{\text{-3}}\text{kg}}{\text{1}\text{g}}\\ \text{=}\text{2}\text{.54}{\text{×10}}^{\text{-5}}\text{kg}\end{array}$

(c)

Interpretation Introduction

Interpretation:

The unit conversion for the given set of numbers has to be given.

To give: unit conversion for the given number

Conversion of milliliter to liter unit

$\text{556}\text{mL}\text{×}\frac{\text{1}{\text{×10}}^{\text{-3}}\text{L}}{\text{1}\text{mL}}\text{=}\text{0}\text{.556}\text{L}$

(d)

Interpretation Introduction

Interpretation:

The unit conversion for the given set of numbers has to be given.

To give: unit conversion for the given number

Conversion of $\raisebox{1ex}{$\text{kg}$}\!\left/ \!\raisebox{-1ex}{${\text{m}}^{\text{3}}$}\right.$ to $\raisebox{1ex}{$\text{g}$}\!\left/ \!\raisebox{-1ex}{${\text{cm}}^{\text{3}}$}\right.$ unit

$\begin{array}{l}\frac{\text{10}\text{.6}\text{kg}}{\text{1}{\text{m}}^{\text{3}}}\text{×}\frac{\text{1000}\text{g}}{\text{1}\text{kg}}\text{×}{\left(\frac{\text{1}\text{×}{\text{10}}^{\text{-2}}\text{m}}{\text{1}\text{cm}}\right)}^{\text{3}}\\ \text{=}\text{0}\text{.0106}\raisebox{1ex}{$\text{g}$}\!\left/ \!\raisebox{-1ex}{${\text{cm}}^{\text{3}}$}\right.\end{array}$