Chapter 7.10, Problem 22OE

To determine

To evaluate:

The value of scientific notation of the given number

Answer to Problem 22OE

The value of scientific notation is $\frac{{10}^9}{2}$

Explanation of Solution

Given:

The number is

  $\frac{6\times {10}^5}{12\times {10}^{-4}}$

Concept used:

The scientific notation is $a\times {10}^b$

Where $a$ is a number or decimal number such that the absolute value of $a$ is greater than or equal to one and less then $10$

Or

  $1\le \left|a\right|<10$

And $b$ is the power of $10$

Calculation:

The number is

  $\begin{array}{l}=\frac{6\times {10}^5}{12\times {10}^{-4}}\\ =\frac{{10}^5}{2\times {10}^{-4}}\\ =\frac{{10}^{5+4}}{2}\\ =\frac{{10}^9}{2}\end{array}$

Therefore,

The scientific notation is $\frac{{10}^9}{2}$