Chapter 4.5, Problem 35IP

To determine

To evaluate : the expression

Answer to Problem 35IP

The solution of the expression in scientific notation is $1.0\times {10}^{-1}$

Explanation of Solution

Given information :

The expression is $\frac{\left(2.8\times {10}^{-7}\right)\left(14000000000\right)}{3.92\times {10}^4}$

Calculation :

The value of the expression is:

  $\begin{array}{l}\frac{\left(2.8\times {10}^{-7}\right)\left(14000000000\right)}{3.92\times {10}^4}\\ \frac{\left(2.8\times {10}^{-7}\right)\left(14\times {10}^9\right)}{3.92\times {10}^4}\\ \frac{\left(2.8\times 14\right)\left({10}^{-7}\times {10}^9\right)}{3.92\times {10}^4}\\ \frac{39.2\times {10}^2}{3.92\times {10}^4}\\ \frac{39.2}{3.92}\times \frac{{10}^2}{{10}^4}\\ 10\times {10}^{-2}\\ 1.0\times {10}^{-1}\end{array}$

Hence, the solution of the expression in scientific notation is $1.0\times {10}^{-1}$