Question

convert
1 a. 73 mg = __ cg 1 b. 92 dg = __ g
2 a. 9 dal = __ cl 2 b. 3.4 cl = __ nl
3 a. 4.6 hg = __ g 3 b. 5,000 m = __ km
4 a. 7.6 m = __ dm 4 b. 400 dag = __ kg
5 a. 7 hl = __ cl 5 b. 8 dal = __ l
6 a. 21 hg = __ kg 6 b. 7,900 dl = __ hl
7 a. 800 mg = __ dg 7 b. 6.5 g = __ cg
8 a. 640 cl = __ l 8 b. 500 ml = __ dl
9 a. 2.8 l = __ ml 9 b. 8.4 dag = __ dg
10 a. 50 cm = __ dm 10 b. 5,800 dl = __ hl

Explanation:

Step1: Recall metric - unit conversion factors

1 ng = 10^(-9) g, 1 dg = 0.1 g, 1 dal = 10 l, 1 hl = 100 l, 1 hg = 100 g, 1 m = 10 dm, 1 kg = 1000 g, 1 g = 100 cg, 1 l = 100 cl, 1 l = 1000 ml, 1 dm = 10 cm, 1 km = 1000 m, 1 dag = 0.01 kg.

Step2: Convert 1a: 73 ng to g

73 ng = 73×10^(-9) g = 7.3×10^(-8) g.

Step3: Convert 1b: 92 dg to g

92 dg = 92×0.1 g = 9.2 g.

Step4: Convert 2a: 9 dal to l

9 dal = 9×10 l = 90 l.

Step5: Convert 2b: 3.4 cl to ml

1 cl = 10 ml, so 3.4 cl = 3.4×10 ml = 34 ml.

Step6: Convert 3a: 4.6 hg to g

4.6 hg = 4.6×100 g = 460 g.

Step7: Convert 3b: 5000 m to km

5000 m = 5000÷1000 km = 5 km.

Step8: Convert 4a: 7.6 m to dm

7.6 m = 7.6×10 dm = 76 dm.

Step9: Convert 4b: 400 dag to kg

400 dag = 400×0.01 kg = 4 kg.

Step10: Convert 5a: 7 hl to cl

7 hl = 7×100×100 cl = 70000 cl.

Step11: Convert 5b: 8 dal to l

8 dal = 8×10 l = 80 l.

Step12: Convert 6a: 21 hg to kg

21 hg = 21×100÷1000 kg = 2.1 kg.

Step13: Convert 6b: 7900 dl to hl

1 dl = 0.001 hl, so 7900 dl = 7900×0.001 hl = 7.9 hl.

Step14: Convert 7a: 800 mg to dg

1 mg = 0.001 dg, so 800 mg = 800×0.001 dg = 0.8 dg.

Step15: Convert 7b: 6.5 g to cg

6.5 g = 6.5×100 cg = 650 cg.

Step16: Convert 8a: 640 cl to l

640 cl = 640÷100 l = 6.4 l.

Step17: Convert 8b: 500 ml to dl

500 ml = 500÷100 dl = 5 dl.

Step18: Convert 9a: 2.8 l to ml

2.8 l = 2.8×1000 ml = 2800 ml.

Step19: Convert 9b: 8.4 dag to dg

8.4 dag = 8.4×10 dg = 84 dg.

Step20: Convert 10a: 50 cm to dm

50 cm = 50÷10 dm = 5 dm.

Step21: Convert 10b: 5800 dl to hl

5800 dl = 5800×0.001 hl = 5.8 hl.

Answer:

1a. 7.3×10^(-8) g
1b. 9.2 g
2a. 90 l
2b. 34 ml
3a. 460 g
3b. 5 km
4a. 76 dm
4b. 4 kg
5a. 70000 cl
5b. 80 l
6a. 2.1 kg
6b. 7.9 hl
7a. 0.8 dg
7b. 650 cg
8a. 6.4 l
8b. 5 dl
9a. 2800 ml
9b. 84 dg
10a. 5 dm
10b. 5.8 hl