Question

Difficulty: EasyScientific Notation and Unit Conversions

During a biology lab, a student measures the volume of a liquid sample to be 2.5×103 liters2.5 \times 10^{-3}\text{ liters}. What is the volume of this sample in milliliters (mL\text{mL})? (Enter only the numeric value.)

Answer: 2.5 mL

Answer

The volume of the sample is 2.5 mL2.5\text{ mL}.
Since 1 liter=1000 milliliters1\text{ liter} = 1000\text{ milliliters}, we multiply the volume in liters by 10001000. Thus, 2.5×103×103=2.5 mL2.5 \times 10^{-3} \times 10^3 = 2.5\text{ mL}.

Step-by-Step Solution

1
Identify the conversion factor between liters (L) and milliliters (mL).
1 L=1000 mL1\text{ L} = 1000\text{ mL}
To convert from liters to milliliters, we need to know the volumetric ratio between the two units.
2
Convert the volume using scientific notation multiplication.
2.5 mL2.5\text{ mL}
2.5×103 L×103 mL/L=2.5×100 mL=2.5 mL2.5 \times 10^{-3}\text{ L} \times 10^3\text{ mL/L} = 2.5 \times 10^{0}\text{ mL} = 2.5\text{ mL}.

Key Concept

Converting scientific notation measurements from liters to milliliters
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