Question

remember to use the appropriate number of sig - figs in your answer.
part 1 - metric conversions

1. 74 cm * ________ = ________ meters
2. 8.32 x 10^(-2) kg * ________ = ________ grams
3. 55.5 ml * ________ = ________ cm^3
4. 0.00527 cal * ________ = ________ kilocalories
5. 9.52 x 10^(-4) m * ________ = ________ micrometers
6. 41.0 ml * ________ = ________ liters
7. 6.0 x 10^(-1) g * ________ = ________ mg
8. 8.34 x 10^(-9) cg * ________ = ________ g
9. 5.0 x 10^5 mm * ________ = ________ m
10. 1 day ________ ______ * ______ = ________ seconds
11. 5 x 10^4 mm ________ ______ = ________ km
12. 9.1 x 10^(-13) kg ________ ______ = ________ ng
13. 1 year ________ ______ = ________ hours (approximately)
14. 4.22 cl ________ ______ = ________ ml

Explanation:

Step1: Recall conversion factor for cm to m

1 m = 100 cm, so to convert 74 cm to m, we divide by 100. $74\div100 = 0.74$ m

Step2: Recall conversion factor for kg to g

1 kg = 1000 g, so for $8.32\times10^{-2}$ kg, we multiply by 1000. $8.32\times10^{-2}\times1000=83.2$ g

Step3: Recall volume conversion

1 mL = 1 $cm^{3}$, so 55.5 mL = 55.5 $cm^{3}$

Step4: Recall conversion factor for cal to kcal

1 kcal = 1000 cal, so for 0.00527 cal, we divide by 1000. $0.00527\div1000 = 5.27\times10^{-6}$ kcal

Step5: Recall conversion factor for m to $\mu$m

1 m = $10^{6}$ $\mu$m, so for $9.52\times10^{-4}$ m, we multiply by $10^{6}$. $9.52\times10^{-4}\times10^{6}=952$ $\mu$m

Step6: Recall conversion factor for mL to L

1 L = 1000 mL, so for 41.0 mL, we divide by 1000. $41.0\div1000 = 0.041$ L

Step7: Recall conversion factor for g to mg

1 g = 1000 mg, so for $6.0\times10^{-1}$ g, we multiply by 1000. $6.0\times10^{-1}\times1000 = 600$ mg

Step8: Recall conversion factor for cg to g

1 g = 100 cg, so for $8.34\times10^{-9}$ cg, we divide by 100. $8.34\times10^{-9}\div100=8.34\times10^{-11}$ g

Step9: Recall conversion factor for mm to m

1 m = 1000 mm, so for $5.0\times10^{8}$ mm, we divide by 1000. $5.0\times10^{8}\div1000 = 5.0\times10^{5}$ m

Step10: Recall time - conversion

1 day = 24 hours, 1 hour = 60 minutes, 1 minute = 60 seconds. So 1 day = $24\times60\times60=86400$ seconds

Step11: Recall conversion factor for mm to km

1 km = $10^{6}$ mm, so for $5\times10^{4}$ mm, we divide by $10^{6}$. $5\times10^{4}\div10^{6}=0.05$ km

Step12: Recall conversion factor for kg to ng

1 kg = $10^{12}$ ng, so for $9.1\times10^{-13}$ kg, we multiply by $10^{12}$. $9.1\times10^{-13}\times10^{12}=0.91$ ng

Step13: Recall time - conversion

1 year is approximately 365 days, 1 day = 24 hours. So 1 year $\approx365\times24 = 8760$ hours

Step14: Recall conversion factor for cL to mL

1 cL = 10 mL, so for 4.22 cL, we multiply by 10. $4.22\times10 = 42.2$ mL

Answer:

1. 0.74 m
2. 83.2 g
3. 55.5 $cm^{3}$
4. $5.27\times10^{-6}$ kcal
5. 952 $\mu$m
6. 0.041 L
7. 600 mg
8. $8.34\times10^{-11}$ g
9. $5.0\times10^{5}$ m
10. 86400 seconds
11. 0.05 km
12. 0.91 ng
13. 8760 hours
14. 42.2 mL