Dimensional Analysis (Factor Label Method) Worksheet

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Unit Conversion Worksheet

MGCCC, Perk Learning Lab, Created by Tara L. Moore

learning..ms.us/pk/sciencedocs/dimensionalanalysisandmetricconversions.htm

Directions: Use the Factor-label method (or dimensional analysis) to convert between the following units. Remember to use unit equalities as conversion fractions to cancel out variables until ending with the desired new variable(s).

 

1. 1.2 kg = ________dg

 

 

2. 2.00 x 10-5m = ________in

 

 

3. 25.4 mm = ________cm

 

 

4. 1.2 miles = ________km

 

 

5. 15.47 m3 = ________km3

 

 

6. 17.0 ft/s = ________m/min

 

 

7. 342 miles/hr = ________km/s

 

 

8. 45.1 yards = ________cm

 

 

9. 1.45 L = ________gallons

 

 

10. 4.100 g = ________mg

 

 

11. 1.2 kg/yard = ________lbs/m

 

 

12. 2.00ft3/min = ________L/hour

 

 

13. 145 ml = ________cm3

 

 

14. 6.51 miles = ________cm

 

ANSWERS to Unit Conversion Worksheet

MGCCC, Perk Learning Lab

 

1. 1.                  1.2 x 104 dg

2. 2.                  7.87 x 10 –4 in

3. 3.                  2.54 cm

4. 4.                  1.9 km

5. 5.                  1.547 x 10 –8 km3

6. 6.                  311 m.min

7. 7.                  0.153 km/s

8. 8.                  4.12 x 103

9. 9.                  0.383 gallon

10. 10.              4.100 x 103 mg

11. 11.              2.9 lbs/m

12. 12.              3.40 x 103 L/hr

13. 13.              145 cm3

14. 14.              1.05 x 106 cm

 

Metric to Metric Conversions WS

 

1. 14.4 m = __________ cm

 

 

2. 564 cg = __________ g

 

 

3. 58dg = __________ mg

 

 

4. 800L = __________ kL

 

 

5. 0.0687 km = __________ mm

 

 

6. 51.0 hg = __________ g

 

 

7. 210 cL = __________ dL

 

 

8. 4.51 x 103 ( = __________ mL

 

 

9. 45700 cg = __________ kg

 

 

10. 24.6 kL = __________ (L

 

 

11. 82.4 nm = __________ (m

 

ANSWERS TO METRIC TO METRIC CONVERSIONS WS

MGCCC, Perk Learning Lab

 

1. 1.                  1440cm

2. 2.                  5.64 g

3. 3.                  5800 mg

4. 4.                  0.800 kL

5. 5.                  68700 mm

6. 6.                  5100 g

7. 7.                  21.0 dL

8. 8.                  4.51 mL

9. 9.                  0.457 kg

10. 10.              2.46 x 10 10 (L

11. 11.              .0824 (m

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