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QuestionConvert 2.93 dg2.93 \, \text{dg} and 0.0481 μg0.0481 \, \mu \text{g} to grams.

Studdy Solution

STEP 1

Assumptions1. The given measurements are .93 dg.93 \, \text{dg} and 0.0481 μg0.0481 \, \mu \text{g} . We are converting these measurements to grams (g)
3. The conversion factors are as follows -1 decigram (dg) =0.1 grams (g) -1 microgram (μg) = 1×10−61 \times10^{-6} grams (g)

STEP 2

First, we will convert the decigram measurement to grams. We can do this by multiplying the given measurement by the conversion factor.
Grams=Decigrams×Conversion factorGrams = Decigrams \times Conversion\, factor

STEP 3

Now, plug in the given values for the decigrams and the conversion factor to calculate the grams.
Grams=2.93 dg×0.1Grams =2.93 \, \text{dg} \times0.1

STEP 4

Calculate the grams.
Grams=2.93 dg×0.1=0.293 gGrams =2.93 \, \text{dg} \times0.1 =0.293 \, \text{g}

STEP 5

Next, we will convert the microgram measurement to grams. We can do this by multiplying the given measurement by the conversion factor.
Grams=Micrograms×Conversion factorGrams = Micrograms \times Conversion\, factor

STEP 6

Now, plug in the given values for the micrograms and the conversion factor to calculate the grams.
Grams=0.0481 μg×1×10−6Grams =0.0481 \, \mu \text{g} \times1 \times10^{-6}

STEP 7

Calculate the grams.
Grams=0.0481 μg×1×10−6=4.81×10− gGrams =0.0481 \, \mu \text{g} \times1 \times10^{-6} =4.81 \times10^{-} \, \text{g}So, 2.93 dg=0.293 g2.93 \, \text{dg} =0.293 \, \text{g} and 0.0481 μg=4.81×10− g0.0481 \, \mu \text{g} =4.81 \times10^{-} \, \text{g}.

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