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Question
question 20 (2.5 points)
one gram is equivalent to how many micrograms?
10
100
1000
1,000,000
Step1: Recall unit conversion for grams and micrograms
We know that the metric prefix "micro" represents \(10^{-6}\), and \(1\) gram (\(g\)) is related to micrograms (\(\mu g\)) by the conversion factor. Also, we know that \(1\) gram \( = 1000\) milligrams (\(mg\)), and \(1\) milligram \( = 1000\) micrograms. So we can calculate the number of micrograms in 1 gram by multiplying these two conversion factors.
Step2: Calculate the conversion
First, \(1\space g= 1000\space mg\) (since "milli" is \(10^{-3}\)). Then, \(1\space mg = 1000\space \mu g\) (since "micro" is \(10^{-6}\), and \(10^{-3}/10^{-6}=10^{3} = 1000\)). So to find how many micrograms are in 1 gram, we multiply the number of milligrams in a gram by the number of micrograms in a milligram: \(1000\times1000 = 1000000\). So \(1\space g=1000000\space \mu g\)
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1,000,000 (the option with 1,000,000)