Question

metric mania
conversion challenge
write the correct abbreviation for each metric unit.

1. kilogram kg
2. meter
3. gram g
4. milliliter ml
5. millimeter mm
6. liter
7. kilometer km
8. centimeter
9. milligram mg

try these conversions, using the ladder method.

1. 2000 mg = 2 g
2. 104 km = m
3. 480 cm = m
4. 5.6 kg = g
5. 8 mm = cm
6. 5 l = 5000 ml
7. 198 g = kg
8. 75 ml = l
9. 50 cm = m
10. 5.6 m = cm
11. 16 cm = mm
12. 2500 m = km
13. 65 g = mg
14. 6.3 cm = mm
15. 120 mg = g

compare using <, >, or =.

1. 63 cm < 6 m
2. 5 g > 508 mg
3. 1,500 ml 1.5 l
4. 536 cm 53.6 dm
5. 43 mg 5 g
6. 3.6 m 36 cm

Explanation:

Step1: Recall metric - unit abbreviations

Meter is abbreviated as m, Liter as L.

Step2: Recall metric - unit conversion factors

1 km = 1000 m, so 104 km = 104×1000 m = 104000 m.
1 m = 100 cm, so 480 cm = 480÷100 m = 4.8 m.
1 kg = 1000 g, so 5.6 kg = 5.6×1000 g = 5600 g.
1 cm = 10 mm, so 8 mm = 8÷10 cm = 0.8 cm.
1 L = 1000 mL, so 75 mL = 75÷1000 L = 0.075 L.
1 m = 100 cm, so 50 cm = 50÷100 m = 0.5 m.
1 m = 100 cm, so 5.6 m = 5.6×100 cm = 560 cm.
1 g = 1000 mg, so 198 g = 198÷1000 kg = 0.198 kg.
1 cm = 10 mm, so 16 cm = 16×10 mm = 160 mm.
1 km = 1000 m, so 2500 m = 2500÷1000 km = 2.5 km.
1 g = 1000 mg, so 65 g = 65×1000 mg = 65000 mg.
1 cm = 10 mm, so 6.3 cm = 6.3×10 mm = 63 mm.
1 g = 1000 mg, so 120 mg = 120÷1000 g = 0.12 g.
1 m = 100 cm, so 6 m = 6×100 cm = 600 cm, and 63 cm < 6 m.
1 g = 1000 mg, so 5 g = 5×1000 mg = 5000 mg, and 5 g > 508 mg.
1 L = 1000 mL, so 1.5 L = 1.5×1000 mL = 1500 mL, and 1500 mL = 1.5 L.
1 dm = 10 cm, so 53.6 dm = 53.6×10 cm = 536 cm, and 536 cm = 53.6 dm.
1 g = 1000 mg, so 5 g = 5×1000 mg = 5000 mg, and 43 mg < 5 g.
1 m = 100 cm, so 3.6 m = 3.6×100 cm = 360 cm, and 3.6 m > 36 cm.

Answer:

1. m
2. L
3. 104000
4. 4.8
5. 5600
6. 0.8
7. 0.075
8. 0.5
9. 560
10. 0.198
11. 160
12. 2.5
13. 65000
14. 63
15. 0.12
16. <
17. >
18. =
19. =
20. <
21. >