Chapter 3, Problem 79A

Interpretation Introduction

Interpretation : The numbers from smallest to largest are to be ranked.

Concept Introduction : An equivalent measurement ratio is referred to as a conversion factor.

Answer to Problem 79A

The numbers are ranked from smallest to largest: $5.1\times {10}^{-3}$ (e), $0.0057$ (d), $4.9\times {10}^{-2}$ (c), $0.0072\times {10}^2$ (f), $5.3\times {10}^4$ (a) and $57\times {10}^3$ (b).

Explanation of Solution

The given numbers are first converted to numbers with the exponential factors.

  $\begin{array}{c}5.3\times {10}^4=53000\\ 57\times {10}^3=57000\\ 4.9\times {10}^{-2}=0.049\\ 0.0057=0.0057\\ 5.1\times {10}^{-3}=0.0051\\ 0.0072\times {10}^2=0.72\end{array}$

From the above values, the numbers are ranked from smallest to largest.

The numbers are ranked from smallest to largest: $5.1\times {10}^{-3}$ (e), $0.0057$ (d), $4.9\times {10}^{-2}$ (c), $0.0072\times {10}^2$ (f), $5.3\times {10}^4$ (a) and $57\times {10}^3$ (b).