Chapter 7, Problem 47CR

To determine

To simplify:The quotient $\frac{3.1\times {10}^4}{1.24\times {10}^2}$

Answer to Problem 47CR

  $2.5\times {10}^2$

Explanation of Solution

Given information:The expression $\frac{3.1\times {10}^4}{1.24\times {10}^2}$

Calculation:

  $\begin{array}{l}\frac{3.1\times {10}^4}{1.24\times {10}^2}\\ =\frac{3.1}{1.24}\times {10}^{4-2}[\because \frac{a^m}{a^n}=a^{m-n}]\\ =\frac{3.1}{1.24}\times {10}^2\\ =2.5\times {10}^2\end{array}$

Thus, $\frac{3.1\times {10}^4}{1.24\times {10}^2}=2.5\times {10}^2$