Question

What is the relationship between ​ ​ 9.6×10^−2 ​ ​ and ​ ​ 9.6×10^−5 ​ ​ ? Select from the drop-down menus to correctly complete the statement. ​ 9.6×10−2 ​ is ? times ? than ​ 9.6×10−5 ​ .

Answer 1

9.6 x 10^-2 / 9.5 * 10^-5  = 1 * 10^(-2-(-5)  = 1 * 10^3

so the blanks are 1000 and greater

Answer 2

$9.6\times 10^-^2$ is  1000 times greater than $9.6\times 10^-^5$

Explanation

The given numbers are:   $9.6\times 10^-^2$  and  $9.6\times 10^-^5$

Dividing the two numbers, we will get.....

$\frac{9.6\times 10^-^2}{9.6\times 10^-^5} = \frac{10^-^2}{10^-^5}= 10^-^2\times 10^5 = 10^3 = 1000$

As, $\frac{9.6\times 10^-^2}{9.6\times 10^-^5} > 1$

So,  $9.6\times 10^-^2>9.6\times 10^-^5$

Thus, $9.6\times 10^-^2$ is  1000 times greater than $9.6\times 10^-^5$