Hibbeler Statics 14E P1.5 — Representing a number between 0.1 and 1000 Using an Appropriate Prefix

Represent each of the following as a number between 0.1 and 1000 using an appropriate prefix: (a) 45 320 kN, (b) 568(10⁵) mm, (c) 0.00563 mg.

_{Statics of Rigid Bodies 14^th by RC Hibbeler, Problem 1-5}

Solution:

Part A

\begin{align*} 45 \ 320 \ \text{kN} & = 45.3 \times 10^3 \ \text{kN}\\ & = 45.3\times 10^3\times 10^3 \ \text{N}\\ & = 45.3 \times 10^6 \ \text{N}\\ & = 45.3 \ \text{MN} \end{align*}

Part B

\begin{align*} 568\left( 10^5 \right)\ \text{mm} & =568\left( 10^5 \right)\times 10^{-3} \ \text{m}\\ & = 568\times 10^2 \ \text{m} \\ & = 56.8 \times 10^3 \ \text{m}\\ & = 56.8 \ \text{km} \end{align*}

Part C

\begin{align*} 0.00563 \ \text{mg} & = 5.63\times 10^{-3} \ \text{mg}\\ & = 5.63\times 10^{-3}\times 10^{-3} \ \text{g}\\ & = 5.63\times 10^{-6} \ \text{g}\\ & = 5.63 \ \mu\text{g} \end{align*}

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