Question

A moving van crew picks up the following items: a sofa that weighs 158 pounds, a chair that weighs 65.7 pounds, a piano that weighs 3.8*10^2 pounds, and several boxes with a combined weight of 147.65 pounds. What total weight in pounds should be listed on the billing sheet? Express your answer in scientific notation.

Answer 1

751.35lbs should be listed

Answer 2

The total weight in pounds should be listed on the billing sheet is $7.5135\times 10^2 pounds$.

Explanation:

• Scientific notation is a way of representing a very small or a very large number or quantity in which the number is written in decimal form along with the number '10' which has some appropriate power.

• For example :

                        $3.45\times 10^{16}$ Liters of water

                       $4.89\times 10^{-9}$meters

Given:

Weight of sofa = 158 pounds

Weight of chair = 65.7 pounds

Weight of piano =$3.8\times 10^2 pounds$

Weight of several boxes = 147.65 pounds

To find:

Total weight in pounds

Solution:

Weight of sofa = 158 pounds

Weight of chair = 65.7 pounds

Weight of piano =$3.8\times 10^2 pounds=380 pounds$

Weight of several boxes = 147.65 pounds

Total weight of all the items in pounds:

$=158 pounds + 65.7 pounds +380 pounds+147.65 pounds\\=751.35 pounds\\=\frac{751.35\times 10^2}{10^2}=7.5135\times 10^2 pounds$

The total weight in pounds should be listed on the billing sheet is $7.5135\times 10^2 pounds$.

Learn more about scientific notation here

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