Question

try these conversions, using the ladder method.

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

compare using <, >, or =.

1. 63 cm < 6 m 17) 5 g > 508 mg 18) 1,500 ml 1.5 l
2. 538 cm 53.6 dm 20) 43 mg 5 g 21) 3.6 m 36 cm

Explanation:

Step1: Recall metric - unit conversion factors

1 km = 1000 m, 1 m = 100 cm, 1 cm = 10 mm, 1 kg = 1000 g, 1 g = 1000 mg, 1 L = 1000 mL.

Step2: Solve 2) 104 km to m

Since 1 km = 1000 m, then 104 km = 104×1000 m = 104000 m.

Step3: Solve 3) 480 cm to m

Since 1 m = 100 cm, then 480 cm = 480÷100 m = 4.8 m.

Step4: Solve 4) 5.6 kg to g

Since 1 kg = 1000 g, then 5.6 kg = 5.6×1000 g = 5600 g.

Step5: Solve 5) 8 mm to cm

Since 1 cm = 10 mm, then 8 mm = 8÷10 cm = 0.8 cm.

Step6: Solve 7) 198 g to kg

Since 1 kg = 1000 g, then 198 g = 198÷1000 kg = 0.198 kg.

Step7: Solve 8) 75 mL to L

Since 1 L = 1000 mL, then 75 mL = 75÷1000 L = 0.075 L.

Step8: Solve 9) 50 cm to m

Since 1 m = 100 cm, then 50 cm = 50÷100 m = 0.5 m.

Step9: Solve 10) 5.6 m to cm

Since 1 m = 100 cm, then 5.6 m = 5.6×100 cm = 560 cm.

Step10: Solve 11) 16 cm to mm

Since 1 cm = 10 mm, then 16 cm = 16×10 mm = 160 mm.

Step11: Solve 12) 2500 m to km

Since 1 km = 1000 m, then 2500 m = 2500÷1000 km = 2.5 km.

Step12: Solve 13) 65 g to mg

Since 1 g = 1000 mg, then 65 g = 65×1000 mg = 65000 mg.

Step13: Solve 14) 6.3 cm to mm

Since 1 cm = 10 mm, then 6.3 cm = 6.3×10 mm = 63 mm.

Step14: Solve 15) 120 mg to g

Since 1 g = 1000 mg, then 120 mg = 120÷1000 g = 0.12 g.

Step15: Solve 18) 1500 mL and 1.5 L comparison

Since 1 L = 1000 mL, 1.5 L = 1.5×1000 mL = 1500 mL, so 1500 mL = 1.5 L.

Step16: Solve 19) 538 cm and 53.6 dm comparison

Since 1 dm = 10 cm, 53.6 dm = 53.6×10 cm = 536 cm, so 538 cm>53.6 dm.

Step17: Solve 20) 43 mg and 5 g comparison

Since 1 g = 1000 mg, 5 g = 5×1000 mg = 5000 mg, so 43 mg<5 g.

Step18: Solve 21) 3.6 m and 36 cm comparison

Since 1 m = 100 cm, 3.6 m = 3.6×100 cm = 360 cm, so 3.6 m>36 cm.

Answer:

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