Question

1 calorie (cal) = .001 kcal 1 cal = 4.184 joules
problems

1. 5 mg = __________ g
2. 403 g = __________ mg
3. 970 kcal = __________ cal
4. 2.3 ml = __________ l
5. 28.5 mm = __________ m
6. 418.4 joules = __________ cal
7. .560 mg = __________ g
8. 3.5 km = __________ mm
9. 243 joules = __________ kcal
10. 1,350 ml = __________ kl
11. 22.4 l = __________ ml
12. 22.4 m = __________ mm
13. 22.4 g = __________ mg
14. 22.4 cal = __________ kcal
15. 22.4 joules = __________ kjoules
16. 321.4 g = __________ μmg
17. 13kl = __________ nl
18. 12345 μmg = __________ dag
19. dr. michael prescribes 300 mg a day of medicine to a patent. each pill has 15 mg of medicine. how many pills will the patient need for 7 days?
20. dr. gomez orders 0.08 grams of medication for a patient. each pill contains 0.003 grams of the medicine. how many pills will the patient need?

Explanation:

Step1: Recall mg to g conversion factor

Since 1 g = 1000 mg, then 1 mg=$\frac{1}{1000}$g = 0.001g. So for 5 mg, we have 5×0.001g = 0.005g.

Step2: Recall g to mg conversion factor

Since 1 g = 1000 mg, for 403 g, we have 403×1000mg = 403000mg.

Step3: Recall kcal to cal conversion factor

Since 1 kcal = 1000 cal, for 970 kcal, we have 970×1000cal = 970000cal.

Step4: Recall ml to l conversion factor

Since 1 l = 1000 ml, for 2.3 ml, we have 2.3÷1000l = 0.0023l.

Step5: Recall mm to m conversion factor

Since 1 m = 1000 mm, for 28.5 mm, we have 28.5÷1000m = 0.0285m.

Step6: Recall joules to cal conversion factor

Given 1 cal = 4.184 joules, for 418.4 joules, we have 418.4÷4.184cal = 100cal.

Step7: Recall mg to g conversion factor

Since 1 g = 1000 mg, for 0.560 mg, we have 0.560×0.001g = 0.00056g.

Step8: Recall km to mm conversion factor

Since 1 km = 1000 m and 1 m = 1000 mm, then 1 km = 1000×1000mm = 1000000mm. For 3.5 km, we have 3.5×1000000mm = 3500000mm.

Step9: Recall joules to kcal conversion factor

Since 1 kcal = 4184 joules, for 243 joules, we have 243÷4184kcal ≈ 0.058kcal.

Step10: Recall ml to kl conversion factor

Since 1 kl = 1000000 ml, for 1350 ml, we have 1350÷1000000kl = 0.00135kl.

Step11: Recall l to ml conversion factor

Since 1 l = 1000 ml, for 22.4 l, we have 22.4×1000ml = 22400ml.

Step12: Recall m to mm conversion factor

Since 1 m = 1000 mm, for 22.4 m, we have 22.4×1000mm = 22400mm.

Step13: Recall g to mg conversion factor

Since 1 g = 1000 mg, for 22.4 g, we have 22.4×1000mg = 22400mg.

Step14: Recall cal to kcal conversion factor

Since 1 kcal = 1000 cal, for 22.4 cal, we have 22.4÷1000kcal = 0.0224kcal.

Step15: Recall joules to kjoules conversion factor

Since 1 kjoules = 1000 joules, for 22.4 joules, we have 22.4÷1000kjoules = 0.0224kjoules.

Step16: Recall g to μmg conversion factor

Since 1 g = 1000000 μmg, for 321.4 g, we have 321.4×1000000μmg = 321400000μmg.

Step17: Recall kL to nL conversion factor

Since 1 kL = 1000 L and 1 L = 1000000000 nL, then 1 kL = 1000×1000000000nL = 1000000000000nL. For 13 kL, we have 13×1000000000000nL = 13000000000000nL.

Step18: Recall μmg to dag conversion factor

Since 1 dag = 10000000 μmg, for 12345 μmg, we have 12345÷10000000dag = 0.0012345dag.

Step19: First find daily - pill number

The patient needs 300 mg of medicine per day and each pill has 15 mg. So the number of pills per day is 300÷15 = 20 pills. For 7 days, the number of pills is 20×7 = 140 pills.

Step20: Convert grams to milligrams

Since 1 g = 1000 mg, 0.08 g = 0.08×1000mg = 80 mg. Each pill contains 0.003 g = 0.003×1000mg = 3 mg. Then the number of pills is 80÷3≈26.67. Since we can't have a fraction of a pill, we need 27 pills.

Answer:

1. 0.005
2. 403000
3. 970000
4. 0.0023
5. 0.0285
6. 100
7. 0.00056
8. 3500000
9. 0.058
10. 0.00135
11. 22400
12. 22400
13. 22400
14. 0.0224
15. 0.0224
16. 321400000
17. 13000000000000
18. 0.0012345
19. 140
20. 27