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#### Concept explainers

When given a problem to convert two units of measurements, such as converting 10km to centimeters, how do I figure out how many centimeters are in a kilometer?

Another example - how many millimeters are in a centimeter?

I don't understand unit conversion problems at all. I have some sample problems that were given to me to practice, but I don't know how to do approach them. I put them down below, since it didn't let me attach the document.

1.) Given that 1 inch (in) is equal to 2.54 cm, how many inches are in 12.1 cm?

2.) A new penny has a mass of 2.49 g. What is this mass in pounds (lb)? Note: 1 kg = 2.205 lb.

3.) In the famous Pokémon Go app, a person needs to physically walk 10.00 km in order to hatch an egg. Convert this distance to the following units:

(a) miles (1 mi = 1.609 km)

(b) centimeters

(c) feet (1 m = 3.28 ft)

4.) Perform the following unit conversions:

(a) 138 mi2 to km2 (1 mi = 1.609 km)

(b) 6050 cm3 to m3

(c) 2.75 L to in3 (1 in = 2.54 cm)

5.) A 417 cm3 sample of ethylene glycol (antifreeze) has a mass of 463 g. What is the density of ethylene glycol in g/cm3?

6.) Acetone (nail polish remover) has a density of 0.7857 g/cm3. What is the mass (in g) of 177.4 mL of acetone?

7.) The boiling point of ethanol is 351.52 K. What is the boiling point in °C and °F?

8.) A sick child has a temperature of 104.00 °F. What is the child’s temperature in °C and K?

9.) A television uses 90.0 MJ of energy per year. How many kcal does it use?

10.) Suppose that a person eats a diet of 2,387 Cal per day. What is this energy in J?

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