Chapter 3, Problem 85A

Interpretation Introduction

Interpretation : The six-conversion factor is to be expressed.

Concept Introduction : Dimensional analysis is a useful method for resolving conversion issues where measurements in one unit are changed to equal measurements in another.

Answer to Problem 85A

The six conversion factors are listed below:

  1. $\frac{\text{1}\text{g}}{100\text{cg}}$

  2. $\frac{\text{1}\text{g}}{1000\text{mg}}$

  3. $\frac{\text{1}\text{cg}}{10\text{mg}}$

  4. $\frac{\text{100}\text{cg}}{1\text{g}}$

  5. $\frac{\text{1000}\text{mg}}{1\text{g}}$

  6. $\frac{\text{10}\text{mg}}{1\text{cg}}$

Explanation of Solution

Given information :

The given units of measure are $\text{1}\text{g}\text{=}{\text{10}}^2\text{cg}$ and $\text{1}\text{g}\text{=}{\text{10}}^3\text{mg}$ .

The desired conversion is $\text{g}\to \text{cg}\to \text{mg}$ .

The six conversion factors for the conversion of $\text{g}\to \text{cg}\to \text{mg}$

is listed below:

  1. $\frac{\text{1}\text{g}}{100\text{cg}}$

  2. $\frac{\text{1}\text{g}}{1000\text{mg}}$

  3. $\frac{\text{1}\text{cg}}{10\text{mg}}$

  4. $\frac{\text{100}\text{cg}}{1\text{g}}$

  5. $\frac{\text{1000}\text{mg}}{1\text{g}}$

  6. $\frac{\text{10}\text{mg}}{1\text{cg}}$