Math

QuestionConvert 6.7 L\mathrm{L} to quarts, rounding your answer to two significant figures.

Studdy Solution

STEP 1

Assumptions1. We are converting from liters () to quarts (qt). . The conversion factor from liters to quarts is1 L =1.05668821 qt.
3. The given value is6.7 L.
4. The answer should be expressed using two significant figures.

STEP 2

First, we need to set up the conversion from liters to quarts using the conversion factor.
6.7L×1.05668821qt1L6.7\, L \times \frac{1.05668821\, qt}{1\, L}

STEP 3

Perform the multiplication to convert the volume from liters to quarts.
6.7L×1.05668821qt=7.079815807qt6.7\, L \times1.05668821\, qt =7.079815807\, qt

STEP 4

Now, we need to express the answer using two significant figures. To do this, we round the result to the nearest hundredth place, since the hundredth place is the second digit after the decimal point.
7.079815807qt7.08qt7.079815807\, qt \approx7.08\, qtThe volume of6.7 L is approximately7.08 quarts.

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