Chapter 4.5, Problem 38IP

To determine

To evaluate : the expression

Answer to Problem 38IP

The solution of the expression in scientific notation is $2.94\times {10}^3$

Explanation of Solution

Given information :

The expression is $\frac{4.5\times {10}^4}{75000000}\times \left(4.9\times {10}^6\right)$

Calculation :

The value of the expression is:

  $\begin{array}{l}\frac{4.5\times {10}^4}{75000000}\times \left(4.9\times {10}^6\right)\\ \frac{4.5\times {10}^4}{7.5\times {10}^7}\times \left(4.9\times {10}^6\right)\\ \frac{4.5}{7.5}\times \frac{{10}^4}{{10}^7}\times \left(4.9\times {10}^6\right)\\ \left(0.6\times {10}^{-3}\right)\times \left(4.9\times {10}^6\right)\\ \left(0.6\times 4.9\right)\times \left({10}^{-3}\times {10}^6\right)\\ 2.94\times {10}^3\end{array}$

Hence, the solution of the expression in scientific notation is $2.94\times {10}^3$