QuestionConvert $0.0001 \mathrm{dg}$ to $\mathrm{pg}$ .

Studdy Solution

STEP 1

Assumptions1. We are converting from decigrams (dg) to picograms (pg). . We know the conversion from decigrams to grams and from grams to picograms. 3.1 decigram (dg) =0.1 grams (g) 4.1 gram (g) =1,000,000,000,000 picograms (pg)

STEP 2

First, we need to convert the given amount in decigrams to grams. We can do this by multiplying the given amount by the conversion factor from decigrams to grams.
$Amount\, in\, grams = Amount\, in\, decigrams \\times Conversion\, factor$

STEP 3

Now, plug in the given values for the amount in decigrams and the conversion factor to calculate the amount in grams.
$Amount\, in\, grams =0.0001\, dg \\times0.1\, g/dg$

STEP 4

Calculate the amount in grams.
$Amount\, in\, grams =0.0001\, dg \\times0.1\, g/dg =0.00001\, g$

STEP 5

Now that we have the amount in grams, we can convert this to picograms. We can do this by multiplying the amount in grams by the conversion factor from grams to picograms.
$Amount\, in\, picograms = Amount\, in\, grams \\times Conversion\, factor$

STEP 6

Now, plug in the given values for the amount in grams and the conversion factor to calculate the amount in picograms.
$Amount\, in\, picograms =0.00001\, g \\times1,000,000,000,000\, pg/g$

STEP 7

Calculate the amount in picograms.
$Amount\, in\, picograms =0.00001\, g \\times1,000,000,000,000\, pg/g =10,000\, pg$ The converted amount is10,000 picograms.

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