QuestionConvert $6.07 \times 10^{-2}$ oz to dg, rounding the answer to 3 significant figures.

Studdy Solution

STEP 1

Assumptions1. The given amount is $6.07 \times10^{-}$ ounces (oz) . We need to convert this amount to decigrams (dg)
3. We know that1 ounce is approximately equal to283.49523125 decigrams4. We need to report the answer to3 significant figures

STEP 2

First, we need to find the conversion factor from ounces to decigrams. We know that1 ounce is approximately equal to283.49523125 decigrams.
$1\, oz =283.49523125\, dg$

STEP 3

Now, we can use this conversion factor to convert the given amount from ounces to decigrams. We do this by multiplying the given amount by the conversion factor.
$Amount\, in\, decigrams = Given\, amount\, in\, ounces \times Conversion\, factor$

STEP 4

Plug in the given values for the amount in ounces and the conversion factor to calculate the amount in decigrams.
$Amount\, in\, decigrams =6.07 \times10^{-2}\, oz \times283.49523125\, dg/oz$

STEP 5

Calculate the amount in decigrams.
$Amount\, in\, decigrams =.07 \times10^{-2}\, oz \times283.49523125\, dg/oz =1.719\, dg$

STEP 6

Now that we have the amount in decigrams, we need to report this to3 significant figures. This means we round the number to the nearest thousandth place.
$Amount\, in\, decigrams =1.72\, dg$ The amount in decigrams is1.72 dg to3 significant figures.

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