Question

Suppose you are asked to find 91,321,972×0.007004. doing a quick estimate by rounding the numbers in scientific notation, what value would you expect the answer to be close to?

Answer 1

Question says that you are asked to find 91,321,972 x 0.007004. doing a quick estimate by rounding the numbers in scientific notation.

91,321,972 can be written in scientific notation as
`= 9.1 * 10^7` because decimal moved 7 places to the left.

0.007004 can be written in scientific notation as
`= 7.0 * 10^(-3)` because decimal moved 3 places to the right.

So to get and estimate of their let's multiply

`9.1 * 10^7 * 7.0 * 10^(-3)`

`= (9.1* 7.0) * 10^(7-3)`

`= 63.7 * 10^(4)`

= 637000

Hence final answer will be close to 637000.