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? (If you need a review of the estimation technique, watch the video Scientific Notation, Part 4.)
63×10^4

Correct
Notice that the expression rounds to (9×10^7)×(7×10^−3)=
63×10^7+(−3)=63×10^4

Answer 1

Answer:

Product, $P=9.1321972\times 10^7\times 7.004\times 10^{-3}$

P = 639619.091888

Explanation:

In this case, we need to find the product of two numbers. These are as follows :

$N_1=91321972=9.13\times 10^7$

$N_2=0.007004=7.004\times 10^{-3}$

On doing calculation, we get the product of two numbers as :

$P=N_1\times N_2$

$P=9.1321972\times 10^7\times 7.004\times 10^{-3}$

P = 639619.091888

In scientific notation the product of two number is given by :

$P=63\times 10^4$

Hence, this is the required solution.