Chapter 7, Problem 102A

Interpretation Introduction

Interpretation: The longest measurement is to be stated.

Concept Introduction : Distance is the space between the two places, or it is measured from the initial point to the final point. The distance is measured in units: kilometers, meters, centimeters, and millimeters.

Answer to Problem 102A

The correct option is b.

Explanation of Solution

Among all options, the kilometer is the largest unit. First, all the given distance units would be converted into km.

Therefore,

  $\begin{array}{c}\text{a)}6\times {10}^4\text{cm}\times \frac{1\text{m}}{100\text{cm}}\times \frac{1\text{km}}{1000\text{m}}=0.6\text{km}\\ \text{b)}6\times {10}^6\text{mm}\times \frac{1\text{cm}}{10\text{mm}}\times \frac{1\text{m}}{100\text{cm}}\times \frac{1\text{km}}{1000\text{m}}=6\text{km}\\ \text{c)}\text{0}\text{.06}\text{km}=\text{0}\text{.06}\text{km}\\ \text{d)}6\times {10}^9\text{nm}\times \frac{1\text{m}}{{10}^9\text{nm}}\times \frac{1\text{km}}{1000\text{m}}=0.006\text{km}\end{array}$

Therefore, $6\times {10}^6\text{mm}$ is the longest distance. Hence, the correct option is b.