Question

What is the relationship between 8.76×106 and 8.76×102 ? Select from the drop-down menus to correctly complete the statement. 8.76×106 is times than 8.76×102 .

Answer 1

8.76 x 10^6 is 10,000 times greater than 8.76 x 10^2.

Answer 2

Answer:

$8.76\times 10^6$ is 10,000 times $8.76\times 10^2$.

Step-by-step explanation:

Let $8.76\times 10^6$ be n times $8.76\times 10^2$.

We have been given two numbers $8.76\times 10^6$ and $8.76\times 10^2$.

We can represent this information in an equation as:

$8.76\times 10^2\cdot n=8.76\times 10^6$.

$\frac{8.76\times 10^2\cdot n}{8.76\times 10^2}=\frac{8.76\times 10^6}{8.76\times 10^2}$

$n=\frac{8.76\times 10^6}{8.76\times 10^2}$

Using exponent property of fractions $\frac{a^m}{a^n}=a^{m-n}$, we will get:

$n=\frac{8.76\times 10^{6-2}}{8.76}$

$n=1\times 10^{4}$

$n=10,000$

Therefore, $8.76\times 10^6$ is 10,000 times $8.76\times 10^2$.