Question

9.2 x 108 is how many times the value of 2.3 x 10²?

A. 4 x 104
B. 4 x 106
C. 6.9 x 104
D. 6.9 x 106
​

Answer 1

B.
`4*10^6`

Explanation:

All you have to do is divide the first value by the second value to find the ratio between the two numbers.

The equation would look like this:

`(9.2*10^8)/(2.3*10^2)` or
`(920000000)/(230)`

Solving this gives you
`4 * 10^6`, or 4000000.

You can also figure this out without a calculator. Simply subtract the smaller power from the larger power to get your exponent.

Since this problem has
`10^8` and
`10^2`, subtract 2 from 8 to get 6. This will be the exponent in your answer, ruling out answers A and C.

Then, just estimate 9.2/2.3. You can do 9/2 to get 4.5, which is closer to 4. Therefore, D is ruled out, so the answer must be B.

Hope this helps :)