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* 10^6` is 10,000 times
`8.76* 10^2`.

Explanation:

Let
`8.76* 10^6` be n times
`8.76* 10^2`.

We have been given two numbers
`8.76* 10^6` and
`8.76* 10^2`.

We can represent this information in an equation as:

`8.76* 10^2\cdot n=8.76* 10^6`.

`(8.76* 10^2\cdot n)/(8.76* 10^2)=(8.76* 10^6)/(8.76* 10^2)`

`n=(8.76* 10^6)/(8.76* 10^2)`

Using exponent property of fractions
`(a^m)/(a^n)=a^(m-n)`, we will get:

`n=(8.76* 10^(6-2))/(8.76)`

`n=1* 10^(4)`

`n=10,000`

Therefore,
`8.76* 10^6` is 10,000 times
`8.76* 10^2`.

Answer 2

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