Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 9 - Section 9.7 - Temperature and Conversions Between the U.S. and Metric Systems - Exercise Set: 22

Answer

$500\text{ mg}\approx 0.018 \text{ oz}$

Work Step by Step

If want to convert from milligrams to ounces, first we convert from milligrams to grams: $1\text{ mg}=0.001\text{ g}$ By multiplying both sides by $500$ we get: $500\text{ mg}=0.5\text{ g}$ After that, we have to consider the following conversion rate: $28.349\text{ g}\approx 1 \text{ oz}$ By dividing both sides by $28.349$, we get: $1\text{ g}\approx \frac{1}{28.349} \text{ oz}$ We multiply both sides by 0.5 in order to get the answer to the question: $500\text{ mg}=0.5\text{ g}\approx \frac{0.5}{28.349} \text{ oz}\approx 0.0176 \text{ oz}$ By rounding it to three decimal places: $500\text{ mg}\approx 0.018 \text{ oz}$
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