Question

convert
1 a. 73 mg = ____ cg 1 b. 02 dag = ____ g
2 a. 9 dal = ____ dl 2 b. 3.4 dl = ____ ml
3 a. 4.0 hg = ____ g 3 b. 5,000 m = ____ km
4 a. 7.6 ts = ____ dm 4 b. 409 dmg = ____ kg
5 a. 7 hl = ____ cl 5 b. 8 ttl = ____ l
6 a. 21 hg = ____ kg 6 b. 7 900 cl = ____ hl
7 a. 800 mg = ____ dg 7 b. 6.5 g = ____ cg
8 a. 640 cl = ____ l 8 b. 500 ml = ____ dl
9 a. 28 l = ____ ml 9 b. 8.4 dag = ____ dg
10 a. 50 cm = ____ dm 10 b. 5,800 dl = ____ hl

Explanation:

Step1: Recall metric - conversion factors

1 mg = 0.1 cg, 1 dag = 0.01 kg, 1 dal = 100 dl, 1 dl = 100 ml, 1 hg = 100 g, 1 m = 0.001 km, 1 t = 10000 dm, 1 dng = 0.0001 kg, 1 hl = 10000 cl, 1 rtal = 0.01 L, 1 hg = 0.1 kg, 1 dl = 0.01 hl, 1 mg = 0.01 dg, 1 g = 100 cg, 1 cl = 0.01 L, 1 ml = 0.01 dl, 1 L = 1000 ml, 1 dag = 10 dg, 1 cm = 0.1 dm, 1 dl = 0.0001 hl.

Step2: Calculate each conversion

1a:

$73\ mg=73\times0.1\ cg = 7.3\ cg$

1b:

$92\ dag=92\times0.01\ kg = 0.92\ kg$

2a:

$9\ dal=9\times100\ dl = 900\ dl$

2b:

$3.4\ dl=3.4\times100\ ml = 340\ ml$

3a:

$4.6\ hg=4.6\times100\ g = 460\ g$

3b:

$5000\ m=5000\times0.001\ km = 5\ km$

4a:

$7.6\ t=7.6\times10000\ dm = 76000\ dm$

4b:

$409\ dng=409\times0.0001\ kg = 0.0409\ kg$

5a:

$7\ hl=7\times10000\ cl = 70000\ cl$

5b:

$8\ rtal=8\times0.01\ L = 0.08\ L$

6a:

$21\ hg=21\times0.1\ kg = 2.1\ kg$

6b:

$7900\ dl=7900\times0.01\ hl = 79\ hl$

7a:

$800\ mg=800\times0.01\ dg = 8\ dg$

7b:

$6.5\ g=6.5\times100\ cg = 650\ cg$

8a:

$640\ cl=640\times0.01\ L = 6.4\ L$

8b:

$500\ ml=500\times0.01\ dl = 5\ dl$

9a:

$28\ L=28\times1000\ ml = 28000\ ml$

9b:

$8.4\ dag=8.4\times10\ dg = 84\ dg$

10a:

$50\ cm=50\times0.1\ dm = 5\ dm$

10b:

$5800\ dl=5800\times0.0001\ hl = 0.58\ hl$

Answer:

1a. 7.3 cg
1b. 0.92 kg
2a. 900 dl
2b. 340 ml
3a. 460 g
3b. 5 km
4a. 76000 dm
4b. 0.0409 kg
5a. 70000 cl
5b. 0.08 L
6a. 2.1 kg
6b. 79 hl
7a. 8 dg
7b. 650 cg
8a. 6.4 L
8b. 5 dl
9a. 28000 ml
9b. 84 dg
10a. 5 dm
10b. 0.58 hl