Question

practice unit conversions
complete the following problems (in the space provided) by showing all of your work - and by drawing a box around your final answer.
“showing all of your work” means setting up the entire equation and using unit abbreviations for each ve

1. 30 centimeters into meters
2. 10 kilometers into meters
3. 15,050 milligrams into grams
4. 3,264 milliliters into liters
5. 9,674,444 grams into kilograms
6. 3.1 kilograms into milligrams
7. 5,897,159 milligrams into kilograms

questions 1 - 7 were conversion problems within the metric system. questions 8 - 13 a
problems because they are asking you to convert between two different systems: the

Explanation:

Step1: Recall conversion factor for cm to m

1 m = 100 cm, so to convert cm to m, divide by 100.
$30\ cm\div100=\frac{30}{100}\ m = 0.3\ m$

Step2: Recall conversion factor for km to m

1 km = 1000 m, so to convert km to m, multiply by 1000.
$10\ km\times1000 = 10000\ m$

Step3: Recall conversion factor for mg to g

1 g = 1000 mg, so to convert mg to g, divide by 1000.
$15050\ mg\div1000=\frac{15050}{1000}\ g=15.05\ g$

Step4: Recall conversion factor for mL to L

1 L = 1000 mL, so to convert mL to L, divide by 1000.
$3264\ mL\div1000=\frac{3264}{1000}\ L = 3.264\ L$

Step5: Recall conversion factor for g to kg

1 kg = 1000 g, so to convert g to kg, divide by 1000.
$9674444\ g\div1000=\frac{9674444}{1000}\ kg=9674.444\ kg$

Step6: Recall conversion factor for kg to mg

1 kg = 1000000 mg, so to convert kg to mg, multiply by 1000000.
$3.1\ kg\times1000000 = 3100000\ mg$

Step7: Recall conversion factor for mg to kg

1 kg = 1000000 mg, so to convert mg to kg, divide by 1000000.
$5897159\ mg\div1000000=\frac{5897159}{1000000}\ kg = 5.897159\ kg$

Answer:

1. 0.3 m
2. 10000 m
3. 15.05 g
4. 3.264 L
5. 9674.444 kg
6. 3100000 mg
7. 5.897159 kg