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question 5 1 pts which step is not part of dimensional analysis? multiplying numbers writing conversion factors canceling like units adding unlike units question 6 1 pts a patient needs 2.5 grams of medication. how many milligrams is this? 2500 mg 250 mg 25 mg 0.25 mg
Question 5
Dimensional analysis involves using conversion factors, canceling like units, and multiplying numbers to convert units. Adding unlike units (e.g., meters and seconds) is not part of dimensional analysis as units must be consistent or convertible.
Step1: Recall the conversion factor
We know that \(1\) gram (\(g\)) is equal to \(1000\) milligrams (\(mg\)), so the conversion factor is \(\frac{1000\ mg}{1\ g}\).
Step2: Multiply the given amount by the conversion factor
We have \(2.5\ g\) of medication. To convert grams to milligrams, we multiply \(2.5\ g\) by \(\frac{1000\ mg}{1\ g}\). The grams unit will cancel out, leaving us with milligrams.
\[2.5\ g\times\frac{1000\ mg}{1\ g}=2.5\times1000\ mg = 2500\ mg\]
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D. adding unlike units