Metric system conversion practice worksheet for students to solve unit conversion problems.

Here are the solutions to the metric system conversion problems. I have worked through each one step-by-step to ensure accuracy.

Step-by-Step Reasoning:

1. A: 789 cm = \_\_\_ m
* To convert centimeters (cm) to meters (m), divide by 100.
* $789 \div 100 = 7.89$
* Answer: 7.89 m

2. B: 901 km = \_\_\_ cm
* To convert kilometers (km) to centimeters (cm), multiply by 100,000 (since $1 \text{ km} = 1,000 \text{ m}$ and $1 \text{ m} = 100 \text{ cm}$).
* $901 \times 100,000 = 90,100,000$
* Answer: 90,100,000 cm

3. C: 615 kg = \_\_\_ g
* To convert kilograms (kg) to grams (g), multiply by 1,000.
* $615 \times 1,000 = 615,000$
* Answer: 615,000 g

4. D: 8.7 g = \_\_\_ mg
* To convert grams (g) to milligrams (mg), multiply by 1,000.
* $8.7 \times 1,000 = 8,700$
* Answer: 8,700 mg

5. E: 8.77 m = \_\_\_ cm
* To convert meters (m) to centimeters (cm), multiply by 100.
* $8.77 \times 100 = 877$
* Answer: 877 cm

6. F: 8.65 kg = \_\_\_ g
* To convert kilograms (kg) to grams (g), multiply by 1,000.
* $8.65 \times 1,000 = 8,650$
* Answer: 8,650 g

7. G: 8.34 L = \_\_\_ mL
* To convert liters (L) to milliliters (mL), multiply by 1,000.
* $8.34 \times 1,000 = 8,340$
* Answer: 8,340 mL

8. H: 45.4 m = \_\_\_ mm
* To convert meters (m) to millimeters (mm), multiply by 1,000.
* $45.4 \times 1,000 = 45,400$
* Answer: 45,400 mm

9. I: 88,000 cm = \_\_\_ km
* To convert centimeters (cm) to kilometers (km), divide by 100,000.
* $88,000 \div 100,000 = 0.88$
* Answer: 0.88 km

10. J: 7400 g = \_\_\_ kg
* To convert grams (g) to kilograms (kg), divide by 1,000.
* $7,400 \div 1,000 = 7.4$
* Answer: 7.4 kg

11. K: 84,900 mg = \_\_\_ g
* To convert milligrams (mg) to grams (g), divide by 1,000.
* $84,900 \div 1,000 = 84.9$
* Answer: 84.9 g

12. L: 50.32 km = \_\_\_ m
* To convert kilometers (km) to meters (m), multiply by 1,000.
* $50.32 \times 1,000 = 50,320$
* Answer: 50,320 m

13. M: 460,000 mL = \_\_\_ L
* To convert milliliters (mL) to liters (L), divide by 1,000.
* $460,000 \div 1,000 = 460$
* Answer: 460 L

14. N: 9.638 mL = \_\_\_ L
* To convert milliliters (mL) to liters (L), divide by 1,000.
* $9.638 \div 1,000 = 0.009638$
* Answer: 0.009638 L

15. O: 42.63 cm = \_\_\_ mm
* To convert centimeters (cm) to millimeters (mm), multiply by 10.
* $42.63 \times 10 = 426.3$
* Answer: 426.3 mm

16. P: 4.82 L = \_\_\_ mL
* To convert liters (L) to milliliters (mL), multiply by 1,000.
* $4.82 \times 1,000 = 4,820$
* Answer: 4,820 mL

17. Q: 523 mm = \_\_\_ km
* To convert millimeters (mm) to kilometers (km), divide by 1,000,000.
* $523 \div 1,000,000 = 0.000523$
* Answer: 0.000523 km

18. R: 8,536 mm = \_\_\_ cm
* To convert millimeters (mm) to centimeters (cm), divide by 10.
* $8,536 \div 10 = 853.6$
* Answer: 853.6 cm

19. S: 36,490 dm = \_\_\_ km
* To convert decimeters (dm) to kilometers (km), divide by 10,000.
* $36,490 \div 10,000 = 3.649$
* Answer: 3.649 km

20. T: 2.01 km = \_\_\_ mm
* To convert kilometers (km) to millimeters (mm), multiply by 1,000,000.
* $2.01 \times 1,000,000 = 2,010,000$
* Answer: 2,010,000 mm

21. U: 33.82 g = \_\_\_ mg
* To convert grams (g) to milligrams (mg), multiply by 1,000.
* $33.82 \times 1,000 = 33,820$
* Answer: 33,820 mg

22. V: 54,194 m = \_\_\_ m
* The units are already the same (meters to meters). No conversion is needed.
* Answer: 54,194 m

23. W: 3.22 km = \_\_\_ cm
* To convert kilometers (km) to centimeters (cm), multiply by 100,000.
* $3.22 \times 100,000 = 322,000$
* Answer: 322,000 cm

24. X: 74.30 m = \_\_\_ cm
* To convert meters (m) to centimeters (cm), multiply by 100.
* $74.30 \times 100 = 7,430$
* Answer: 7,430 cm

25. Y: 4150 m = \_\_\_ km
* To convert meters (m) to kilometers (km), divide by 1,000.
* $4,150 \div 1,000 = 4.15$
* Answer: 4.15 km

26. Z: 12,640 cm = \_\_\_ m
* To convert centimeters (cm) to meters (m), divide by 100.
* $12,640 \div 100 = 126.4$
* Answer: 126.4 m

Final Answer:
A: 7.89 m
B: 90,100,000 cm
C: 615,000 g
D: 8,700 mg
E: 877 cm
F: 8,650 g
G: 8,340 mL
H: 45,400 mm
I: 0.88 km
J: 7.4 kg
K: 84.9 g
L: 50,320 m
M: 460 L
N: 0.009638 L
O: 426.3 mm
P: 4,820 mL
Q: 0.000523 km
R: 853.6 cm
S: 3.649 km
T: 2,010,000 mm
U: 33,820 mg
V: 54,194 m
W: 322,000 cm
X: 7,430 cm
Y: 4.15 km
Z: 126.4 m