Chapter 4.5, Problem 37IP

To determine

To evaluate : the expression

Answer to Problem 37IP

The solution of the expression in scientific notation is $6.54\times {10}^{11}$

Explanation of Solution

Given information :

The expression is $\frac{1.86\times {10}^8}{3.1\times {10}^{-4}}+5.4\times {10}^{10}$

Calculation :

The value of the expression is:

  $\begin{array}{l}\frac{1.86\times {10}^8}{3.1\times {10}^{-4}}+5.4\times {10}^{10}\\ \frac{1.86}{3.1}\times \frac{{10}^8}{{10}^{-4}}+5.4\times {10}^{10}\\ 0.6\times {10}^{12}+5.4\times {10}^{10}\\ 60\times {10}^{10}+5.4\times {10}^{10}\\ \left(60+5.4\right)\times {10}^{10}\\ 65.4\times {10}^{10}\\ 6.54\times {10}^{11}\end{array}$

Hence, the solution of the expression in scientific notation is $6.54\times {10}^{11}$