Dimensional Analysis: Conversions

Which conversion factor would you use to convert from cm to inches?

• $\frac{1\ in}{2.54\ cm}$

• $\frac{2.54\ cm}{1\ in}$

• $\frac{2.54\ in}{1\ cm}$

What must be true about a conversion factor when converting from one unit to another?

• The units in the numerator must be the same as the units in the denominator

• The number "1" must always be in the numerator

• The numerator must be equal to the denominator.

If you want to convert from centimeters to meters, what unit should be in the numerator of the conversion factor?

• cm

• m

• km

Which conversion factor would you use to convert 819 mL to L?

• $\frac{1\ L}{1000\ mL}$

• $\frac{1000\ L}{1\ mL}$

• $\frac{1000\ mL}{1\ L}$

Convert 348 kilometers to miles

• 560 mi

• 216 mi

• 348 mi

Choose the correct conversion factor and answer for this conversion:
 $8,203\ mL\ \times\ \frac{1\ L}{1000\ mL}\ \times\ \ \ \ \ \ \ ?\ \ \ \ \ \ \ \ =\ \ \ \ ?$                  

•  $\frac{3.7854\ gal}{1\ L}\ =\ 31.05\ gal$  

•  $\frac{3.7854\ L}{1\ gal}\ =\ 31.05\ gal$  

•  $\frac{1\ gal}{3.7854\ L}\ =\ 2.167\ gal$  

Which of the following processes is correct.

• $0.006810\ lbs\ \times\ \frac{453.59\ g}{1\ lb}\ \times\ \frac{1000\ mg}{1\ g}\ =\ 3088\ mg$

• $925\ mile\ \times\ \frac{1\ mile}{5280\ feet}\ \times\ \frac{1.6093\ km}{1\ mile}\ =\ 0.282\ km$

• $68.5\ fl\ oz\ \times\ \frac{1\ gal}{32\ fl\ oz}\ \times\ \frac{3.7854\ L}{1\ gal}\ =\ 8.10\ L$

In order to convert 25 km to miles using dimensional analysis, which conversion factor should be used?

• $\frac{1\ mi}{5280\ ft}$

• $\frac{1\ km}{0.62137\ mi}$

• $\frac{0.62137\ mi}{1\ km}$

Convert 9.13 ounces to grams.

• 0.322 g

• 259 g

• 0.00126 g

How many meters are in 0.500 mile?

• 962 meters

• 0.547 meters

• 805 meters