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? (If you need a review of the estimation technique, watch the video Scientific Notation, Part 4.)

Respuesta :

Answer: [tex]63\times10^4[/tex]

we need to estimate the product of two numbers by writing them in scientific notation and rounding them off.

In scientific notation, number 91321972 can be written as [tex]9.1321972\times10^7[/tex]

If we round this off to 1 significant figure, it would be:

[tex]9\times10^7[/tex]

In scientific notation, number 0.007004 can be written as [tex]7.004\times10^{-3}[/tex]

If we round this off to 1 significant figure, it would be:

[tex]7\times10^{-3}[/tex]

Product of these two numbers:

[tex]9\times10^7 \times 7\times10^{-3}=9\times7\times10^{7-3}=63\times10^{4}[/tex]