Question

convert.
1 a. 1,000 dl = __________ hl
1 b. 7.6 kg = __________ g
2 a. 6,000 dm = __________ hm
2 b. 74 g = __________ dag
3 a. 6 km = __________ hm
3 b. 700 cm = __________ m
4 a. 9 m = __________ cm
4 b. 9.2 kg = __________ hg
5 a. 9.1 hg = __________ g
5 b. 300 l = __________ hl
6 a. 700 g = __________ hg
6 b. 46 g = __________ dag
7 a. 6.9 hg = __________ dg
7 b. 9 dal = __________ dl
8 a. 9,600 cl = __________ dal
8 b. 5,000 dg = __________ hg
9 a. 2 hg = __________ g
9 b. 100 dl = __________ l
10 a. 1.5 m = __________ dm
10 b. 22 dam = __________

Explanation:

Step1: Recall metric - prefix conversion factors

1 h = 100, 1 kg=1000 g, 1 hm = 10000 dm, 1 dag = 10 g, 1 m = 100 cm, 1 kg = 10 hg, 1 hl = 100 L, 1 hg=100 g, 1 dal = 100 dl, 1 dg=0.1 g, 1 L = 10 dl, 1 dam = 100 dm.

Step2: Solve 1a

Since 1 hl = 10000 dl, then $1000\ dl=\frac{1000}{10000}hl = 0.1\ hl$.

Step3: Solve 1b

Since 1 kg = 1000 g, then $7.6\ kg=7.6\times1000\ g = 7600\ g$.

Step4: Solve 2a

Since 1 hm = 10000 dm, then $6000\ dm=\frac{6000}{10000}hm = 0.6\ hm$.

Step5: Solve 2b

Since 1 dag = 10 g, then $74\ g=\frac{74}{10}dag = 7.4\ dag$.

Step6: Solve 3a

Since 1 km = 10 hm, then $6\ km = 6\times10\ hm=60\ hm$.

Step7: Solve 3b

Since 1 m = 100 cm, then $700\ cm=\frac{700}{100}m = 7\ m$.

Step8: Solve 4a

Since 1 m = 100 cm, then $9\ m=9\times100\ cm = 900\ cm$.

Step9: Solve 4b

Since 1 kg = 10 hg, then $9.2\ kg=9.2\times10\ hg = 92\ hg$.

Step10: Solve 5a

Since 1 hg = 100 g, then $9.1\ hg=9.1\times100\ g = 910\ g$.

Step11: Solve 5b

Since 1 hl = 100 L, then $300\ L=\frac{300}{100}hl = 3\ hl$.

Step12: Solve 6a

Since 1 hg = 100 g, then $700\ g=\frac{700}{100}hg = 7\ hg$.

Step13: Solve 6b

Since 1 dag = 10 g, then $46\ g=\frac{46}{10}dag = 4.6\ dag$.

Step14: Solve 7a

Since 1 hg = 1000 dg, then $6.9\ hg=6.9\times1000\ dg = 6900\ dg$.

Step15: Solve 7b

Since 1 dal = 100 dl, then $9\ dal=9\times100\ dl = 900\ dl$.

Step16: Solve 8a

Since 1 dal = 1000 cl, then $9600\ cl=\frac{9600}{1000}dal = 9.6\ dal$.

Step17: Solve 8b

Since 1 hg = 1000 dg, then $5000\ dg=\frac{5000}{1000}hg = 5\ hg$.

Step18: Solve 9a

Since 1 hg = 100 g, then $2\ hg=2\times100\ g = 200\ g$.

Step19: Solve 9b

Since 1 L = 10 dl, then $100\ dl=\frac{100}{10}L = 10\ L$.

Step20: Solve 10a

Since 1 m = 10 dm, then $1.5\ m=1.5\times10\ dm = 15\ dm$.

Step21: Solve 10b

Since 1 dam = 100 dm, then $22\ dam=22\times100\ dm = 2200\ dm$.

Answer:

1a. 0.1 hl
1b. 7600 g
2a. 0.6 hm
2b. 7.4 dag
3a. 60 hm
3b. 7 m
4a. 900 cm
4b. 92 hg
5a. 910 g
5b. 3 hl
6a. 7 hg
6b. 4.6 dag
7a. 6900 dg
7b. 900 dl
8a. 9.6 dal
8b. 5 hg
9a. 200 g
9b. 10 L
10a. 15 dm
10b. 2200 dm