Question

To write the best estimate for the following product in scientific notation, what should be the power of ten? (8.91 x 10^2)(3.3 x 10^12)

Answer 1

15

Step-by-step explanation: I saw his and I just wanted to sum it all up for some people who just needed the anwser and didnt want to read all into that, thanks person above me though.

Answer 2

Scientific notation is the way that scientists easily handle very large numbers or very small numbers. Scientific notation is written by writting a decimal number between 1 and 10 together with an exponent of 10.

Given

`(8.91 * 10^2)(3.3 * 10^(12))`

First, using distributive property of numbers, seperate the decimal numbers and the exponents of 10, we have

`(8.91*3.3)*(10^2*10^(12))=29.403*10^(2+12)=29.403*10^(14)`

Because, scientific notation requires that the decimal number part be a number between 1 and 10, we move the decimal point 1 place backwards and add 1 from the exponent of 10.

Thus,

`(8.91 * 10^2)(3.3 * 10^(12))`
in standard notation is

`2.9403*10^(15)`

Therefore, to write the best estimate for

`(8.91 * 10^2)(3.3 * 10^(12))`
in scientific notation, the power of ten is 15.