Question

the factor - label method can be used to solve virtually any problem including changes in units. it is especially useful in making complex conversions dealing with concentrations and derived units. convert the following. 1. 35 ml = dl 2. 950 g = kg 3. 275 mm = cm 4. 1,000 l = kl 5. 1,000 ml = l 6. 4,500 mg = g 7. 25 cm = mm 8. 0.005 kg = dag 9. 0.075 m = cm 10. 15 g = mg

Explanation:

Step1: Recall volume conversion

1 mL = 0.001 L, so 35 mL = 35×0.001 L = 0.035 L

Step2: Recall volume - kiloliter conversion

1 L = 0.001 kL, so 1000 L=1000×0.001 kL = 1 kL

Step3: Recall length conversion

1 mm = 0.1 cm, so 275 mm = 275×0.1 cm = 27.5 cm

Step4: Recall mass - kilogram conversion

1 g = 0.001 kg, so 950 g = 950×0.001 kg = 0.95 kg

Step5: Recall volume - liter conversion

1 mL = 0.001 L, so 1000 mL = 1000×0.001 L = 1 L

Step6: Recall mass - gram conversion

1 mg = 0.001 g, so 4500 mg = 4500×0.001 g = 4.5 g

Step7: Recall length - millimeter conversion

1 cm = 10 mm, so 25 cm = 25×10 mm = 250 mm

Step8: Recall mass - decagram conversion

1 kg = 100 dag, so 0.005 kg = 0.005×100 dag = 0.5 dag

Step9: Recall length - centimeter conversion

1 m = 100 cm, so 0.075 m = 0.075×100 cm = 7.5 cm

Step10: Recall mass - milligram conversion

1 g = 1000 mg, so 15 g = 15×1000 mg = 15000 mg

Answer:

1. 0.035 L
2. 0.95 kg
3. 27.5 cm
4. 1 kL
5. 1 L
6. 4.5 g
7. 250 mm
8. 0.5 dag
9. 7.5 cm
10. 15000 mg