Math

QuestionConvert the following metric units: 1) 0.649μL=?mL0.649 \mu \mathrm{L} = ? \mathrm{mL} 2) 55.3km=?m55.3 \mathrm{km} = ? \mathrm{m}

Studdy Solution

STEP 1

Assumptions1. We are converting from one metric unit to another. . The given values are0.649 micro liters (μ) and55.3 kilometers (km).
3. The conversion factors are -1 μ =0.001 mL -1 km =1000 m

STEP 2

First, we need to convert0.649 μ to mL. We can do this by multiplying the given value by the conversion factor.
Volumem=VolumeμLtimesConversionfactorμLtomLVolume_{m} = Volume_{\mu L} \\times Conversion\, factor_{\mu L\, to\, mL}

STEP 3

Now, plug in the given value for the volume in μ and the conversion factor to calculate the volume in mL.
Volumem=0.649times0.001Volume_{m} =0.649 \\times0.001

STEP 4

Calculate the volume in mL.
Volumem=0.649times0.001=0.000649mLVolume_{m} =0.649 \\times0.001 =0.000649\, mL

STEP 5

Next, we need to convert55.3 km to m. We can do this by multiplying the given value by the conversion factor.
Distancem=DistancekmtimesConversionfactorkmtomDistance_{m} = Distance_{km} \\times Conversion\, factor_{km\, to\, m}

STEP 6

Now, plug in the given value for the distance in km and the conversion factor to calculate the distance in m.
Distancem=55.3times1000Distance_{m} =55.3 \\times1000

STEP 7

Calculate the distance in m.
Distancem=55.3times1000=55300mDistance_{m} =55.3 \\times1000 =55300\, mSo, the conversions are0.649 μ =0.000649 mL55.3 km =55300 m

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