Chapter 5.4, Problem 40E

To determine

To find : A quotient of $\frac{5.4\times 10}{1.2\times {10}^7}$ in scientific notation.

Answer to Problem 40E

The quotient of $\frac{5.4\times 10}{1.2\times {10}^7}$ in scientific notation is $4.5\times {10}^{-6}$ .

Explanation of Solution

Given information :

Consider, the expression provided in the question,

  $\frac{5.4\times 10}{1.2\times {10}^7}$

Solution :

  $\begin{array}{l}\frac{5.4\times 10}{1.2\times {10}^7}=\frac{5.4}{1.2}\times \frac{10}{{10}^7}\text{ (Write quotint as a product of two fractions)}\\ \frac{2.4\times {10}^2}{1.2\times {10}^6}=4.5\times {10}^{1-7}\text{ (Divide}\text{. Use quotient of powers rule)}\\ \frac{2.4\times {10}^2}{1.2\times {10}^6}=4.5\times {10}^{-6}\text{ (Subtract exponents)}\end{array}$

Hence,

The quotient of $\frac{5.4\times 10}{1.2\times {10}^7}$ in scientific notation is $4.5\times {10}^{-6}$ .