Math / Numbers & Operations

QuestionVirginia Beach City Public Schools Math $7>$ Convert customary and metric units using proportions DPY
Which proportion could you use to convert 5 kilograms to grams? $\frac{10 \text { grams }}{1 \text { kilogram }}=\frac{? \text { grams }}{5 \text { kilograms }} \quad \frac{1,000 \text { grams }}{1 \text { kilogram }}=\frac{? \text { grams }}{5 \text { kilograms }}$
Convert. 5 kilograms = $\square$ grams Submit

Studdy Solution
Solve the proportion for $x$ , which represents the number of grams.
Multiply both sides by $5$ to isolate $x$ :
$\frac{1,000}{1} = \frac{x}{5}$ $(5)\left(\frac{1,000}{1}\right) = \left(\frac{x}{5}\right)(5)$ $5,000 = x$
The conversion of $5$ kilograms to grams is:
$5 \text{ kilograms} = \boxed{5,000 \text{ grams}}$

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