Math

QuestionConvert 0.0001dg0.0001 \mathrm{dg} to picograms (pg) using the SI unit conversion method.

Studdy Solution

STEP 1

Assumptions1. We are given the amount in decigrams (dg) as 0.0001dg0.0001 \mathrm{dg}. . We need to convert this amount to picograms (pg).
3. We will use the SI form for conversion.
4. The conversion factors are as follows -1 decigram (dg) = 10110^{-1} grams (g) -1 gram (g) = 101210^{12} picograms (pg)

STEP 2

First, we need to convert the given amount from decigrams (dg) to grams (g) using the conversion factor.
0.0001dg=0.0001×101g0.0001 \mathrm{dg} =0.0001 \times10^{-1} \mathrm{g}

STEP 3

Now, calculate the conversion from decigrams to grams.
0.0001dg=0.0001×101g=0.00001g0.0001 \mathrm{dg} =0.0001 \times10^{-1} \mathrm{g} =0.00001 \mathrm{g}

STEP 4

Next, we need to convert the amount from grams (g) to picograms (pg) using the conversion factor.
0.00001g=0.00001×1012pg0.00001 \mathrm{g} =0.00001 \times10^{12} \mathrm{pg}

STEP 5

Finally, calculate the conversion from grams to picograms.
0.00001g=0.00001×1012pg=10,000pg0.00001 \mathrm{g} =0.00001 \times10^{12} \mathrm{pg} =10,000 \mathrm{pg}So, 0.0001dg0.0001 \mathrm{dg} is equal to 10,000pg10,000 \mathrm{pg}.

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