Question

within the metric system

1. 3.2 kg = ___ g
2. 4.8 cm = ___ dam
3. 3450 mm = ___ m
4. 15 ml = ___ l
5. 753 cg = ___ hg
6. 0.34 mg = ___ g

within the english system

1. 15 mi = ___ yd
2. 20 gal = ___ pt
3. 28 pt = ___ c
4. 50 lb = ___ oz
5. 20 tbsp = ___ oz
6. 1000 lb = ___ ton

Explanation:

Step1: Recall metric - system conversion factors

1 kg = 1000 g, 1 cm = 0.01 m, 1 dam = 10 m, 1 mL = 0.001 L, 1 cg=0.00001 kg, 1 mg = 0.001 g, 1 mm = 0.001 m.

1. For 3.2 kg to g:

$3.2\times1000 = 3200$ g

1. For 15 mL to L:

$15\times0.001=0.015$ L

1. For 4.8 cm to dam: First convert cm to m ($4.8\times0.01 = 0.048$ m), then convert m to dam ($0.048\div10 = 0.0048$ dam)
2. For 753 cg to hg: First convert cg to g ($753\times0.01 = 7.53$ g), then convert g to hg ($7.53\div100 = 0.0753$ hg)
3. For 3450 mm to m:

$3450\times0.001 = 3.45$ m

1. For 0.34 mg to g:

$0.34\times0.001=0.00034$ g

Step2: Recall English - system conversion factors

1 mi = 1760 yd, 1 gal = 8 pt, 1 pt = 2 c, 1 lb = 16 oz, 1 ton = 2000 lb, 1 tbsp = 0.5 oz

1. For 15 mi to yd:

$15\times1760 = 26400$ yd

1. For 50 lb to oz:

$50\times16 = 800$ oz

1. For 20 gal to pt:

$20\times8 = 160$ pt

1. For 20 tbsp to oz:

$20\times0.5 = 10$ oz

1. For 28 pt to c:

$28\times2 = 56$ c

1. For 1000 lb to ton:

$1000\div2000 = 0.5$ ton

Answer:

1. 3200
2. 0.015
3. 0.0048
4. 0.0753
5. 3.45
6. 0.00034
7. 26400
8. 800
9. 160
10. 10
11. 56
12. 0.5