1. Dimensional Analysis The proper way to show the conversion between 2 different units of measurement

2. Dollars To Dimes 5 dollars10 dimes50 dimes 1 dollar 1 dollar = 10 dimes

3. How Many Bagels Are In 12 Dozen? 1 dozen = 12 units 12 dozen bagels12 bagels144 bagels 1 dozen bagels

4. Metric Conversions 1-Step If the base unit is found as the starting point or ending point to a dimensional analysis problem, it will be a 1-step problem Examples of base units include: meters, seconds, liters, grams, bagels

5. m  cm How many centimeters are in 2.58 meters? 1-step problem because a base unit (m) is the starting point Remember…1 ALWAYS goes with the prefix! 1 cm = 10 -2 m 2.58 m1 cm 2.58 x 10 2 cm 10 -2 m

6. dag  g How many grams are in 6.5 decagrams? 1-step problem because a base unit (g) is the ending point Remember…1 ALWAYS goes with the prefix! 1 dag = 10 1 g 6.5 dag10 1 g6.5 x 10 1 g 1 dag

7. s  ks How many kiloseconds are in 9.80 x 10 -3 seconds? 1-step problem because a base unit (s) is the starting point Remember…1 ALWAYS goes with the prefix! 1 ks = 10 3 s 9.80 x 10 -3 s1 ks 9.80 x 10 -6 ks 10 3 s

8. Practice 1-Step Metric Conversions 720 mg  g 4.58 x 10 5 μL  L 5.00 m  mm

9. Metric Conversions 2-Step If the base unit is not found as the starting point or ending point to a dimensional analysis problem, it will be a 2-step problem Always go the base unit as a first step

10. hm  dm How many decimeters are in 25.8 hectometers? 2-step problem because a base unit (m) is not the starting point or ending point Go to the base unit (m) as a first step Remember…1 ALWAYS goes with the prefix! 1 hm = 10 2 m 1 dm = 10 -1 m 25.8 hm10 2 m1 dm2.58 x 10 4 dm 1 hm10 -1 m

11. mL  ML How many megaliters are in 639 milliliters ? 2-step problem because a base unit (L) is not the starting point or ending point Go to the base unit (L) as a first step Remember…1 ALWAYS goes with the prefix! 1mL = 10 -3 L 1 ML = 10 6 L 639 mL10 -3 L1 ML6.39 x 10 -7 ML 1 mL10 6 L

12. Practice 2-Step Metric Conversions 55 μs  Ms 6.55 x 10 -4 km  mm 450 cg  hg

13. Sig Figs? The sig figs represented in the starting point should be carried over to the ending point. Conversions are considered exact measurements and should be used to determine sig figs in the final answer.

14. Non-Metric Conversions A non-metric conversion will consist of 2 different base units. How many inches are in a 92.5 centimeters? 1 inch = 2.54 cm 92.5 cm1 in36.4 in 2.54 cm

15. lbs  oz How many ounces are in 38.25 pounds 1 lb = 16 oz 38.25 lbs16 oz612.0 oz 1 lb

16. mm  yds 2090.0 mm  yds 1 mm = 10 -3 m 1 yd =.9144 m 2090.0 mm10 -3 m1 yd2.2857 yds 1 mm.9144 m

17. Mixed Practice 4.5 x 10 3 s  yrs 250 cal  J 6.72 mg  carats

18. km/s  mi/hr 3.8 km1 mi60 s60 min 1 s1.609 km1 min1 hr 8500 mi 1 hr

19. Conversions & Calculation Practice 1.8 mm + 75 cm +.098 km = ______cm 10. cm 3 + 50. mL + 35.8 L = _____mL