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?

Respuesta :

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 [tex] = 9.1 \times 10^7   [/tex] because decimal moved 7 places to the left.


0.007004 can be written in scientific notation as [tex] = 7.0 \times 10^{-3} [/tex]   because decimal moved 3 places to the right.


So to get and estimate of their let's multiply

[tex] 9.1 \times 10^7 * 7.0 \times 10^{-3}  [/tex]

[tex] = (9.1* 7.0) \times 10^{7-3}  [/tex]

[tex] = 63.7 \times 10^{4}  [/tex]

= 637000

Hence final answer will be close to 637000.