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# A box contains $5 \times {10^2}$ paper clips. Each paper clip weighs $7 \times {10^{ - 4}}$ kilograms. What is the total weight of paper clips in the box?

Last updated date: 13th Jun 2024
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Hint: Mass is used to measure the weight of an object. In the metric system of measurement, the most common units of mass are the gram and kilogram.
1 kilogram = 1000 grams
To solve this question we have to multiply the weight of one paper clip and the total number of paper clips in order to find the total weight of the box. And as the number and weight of paper clip are given in power form therefore we will convert them into the simplest form to solve the question easily. Hence we will convert the kilogram into gram to get the simplest term.

Number of paper clips in a box = $5 \times {10^2}$
Weight of one paper clip = $7 \times {10^{ - 4}}kg$
$\therefore 7 \times {10^{ - 4}}kg = 7 \times {10^{ - 4}} \times 1000 \\ = 7 \times {10^{ - 4}} \times {10^3} \\ = 7 \times {10^{ - 4 + 3}} \\ = 7 \times {10^{ - 1}} \\ = 0.7gram \\$
$W = \left( {5 \times {{10}^2}} \right) \times \left( {0.7} \right) \\ W = 3.5 \times {10^2} \\ W = 350grams \\$