1. Metric and Non-Metric
Conversion Problems

2. Metric to Metric Conversions
3 Step Solution:
Start with the given, in this example it’s 5 m.
Use the conversion factor and make a fraction from it such that it cancels out the known unit.
Cancel out numbers and units to get the unknown.
Q 1) Convert
5 meters to centimeters.
Conversion Factor(s):
1 m = 100 cm

3. You can make two fractions from the conversion factor (1m = 100cm).
Our aim is to cancel out the meters and retain the Cm in the final answer. So setup the problem by using the second fraction.

4. Metric to Metric Conversions
Solution:
Q 1) Convert
5 meters to centimeters.
Conversion Factor(s):
1 m = 100 cm

5. Metric to Metric Conversions
Solution:
Q 2) Convert
0.5 meters to millimeters.
Conversion Factor(s):
1 m = 100 cm
1 cm = 10 mm

6. Metric to Metric Conversions
Solution:
Q 3) Convert
750 meters to kilometers.
Conversion Factor(s):
1 km = 1000 m

7. Metric to Metric Conversions
Solution:
Q 4) Convert
50 milligrams to kilograms.
Conversion Factor(s):
1 kg = 1000 g
1 g = 1000 mg

8. Solution: Conversion Factor(s): 1 ft = 30 cm Mixed Conversions
Q 5) Convert
175 centimeters to feet.
Conversion Factor(s):
1 ft = 30 cm

9. Solution: Conversion Factor(s): 1 kg = 2.2 lb Mixed Conversions
Q 6) Convert
80 kilograms to pounds.
Conversion Factor(s):
1 kg = 2.2 lb

10. Solution: Conversion Factor(s): 1 mile = 1609 m 1 m = 1.1 yards
Mixed Conversions
Q 7) Convert
1mile to yards.
Conversion Factor(s):
1 mile = 1609 m
1 m = 1.1 yards

11. Solution: Conversion Factor(s): Mixed Conversions
Q 8) You paid $62 to fill a tank at $3.95 per gallon. Your car gives 28 miles/gallon. How far can you drive?
Conversion Factor(s):

12. Solution: Conversion Factor(s): 1 oz = 28 g 1kg = 1000 g
Mixed Conversions
Q 9) Convert 60 ounces to kilograms.
Conversion Factor(s):
1 oz = 28 g
1kg = 1000 g

13. Solution: Conversion Factor(s): 5 miles = 8 km Mixed Conversions
Q 10) Convert 100 mph to kmph.
Conversion Factor(s):
5 miles = 8 km

14. Solution: Conversion Factor(s): 1 mile = 1609 m 1 h = 3600 s
Mixed Conversions
Q 11) Convert 100 mph to meters per second.
Conversion Factor(s):
1 mile = 1609 m
1 h = 3600 s

15. Solution: Conversion Factor(s): 1 m = 3.3 ft 1 inch = 2.54 cm
Mixed Conversions
Q 12) Convert 6 feet 3 inches to meters.
Conversion Factor(s):
1 m = 3.3 ft
1 inch = 2.54 cm
1 m = 100 cm

16. Solution: Conversion Factor(s): Mixed Conversions
Q 13) How many seconds are there in a day?
Conversion Factor(s):

17. Solution: Conversion Factor(s): As usual Mixed Conversions
Q 14) Calculate the number of days a person of age 16 years, 3 months, and 2 weeks has lived so far.
Conversion Factor(s):
As usual

18. Solution: Conversion Factor(s): As usual Mixed Conversions
Q 15) If a persons’ heart beats 72 times per minute, how many times does his heart beat in one day?
Conversion Factor(s):
As usual