Question

an extra - strength aspirin contains 0.500 g of aspirin. how many grains is this? (1 grain = 64.8 mg)
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3.24×10^4 grains
7.72 grains
32.4 grains
7.72×10^ - 5 grains
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Explanation:

Step1: Convert grams to milligrams

Since \(1\ g = 1000\ mg\), for \(0.500\ g\), we have \(0.500\times1000 = 500\ mg\).

Step2: Convert milligrams to grains

Given \(1\ grain = 64.8\ mg\). Let \(x\) be the number of grains. Then \(x=\frac{500\ mg}{64.8\ mg/grain}\).

$$x=\frac{500}{64.8}\approx 7.72\ grains$$

Answer:

7.72 grains