Question

conversion challenge
write the correct abbreviation for each metric unit.

1. kilogram __ 4) milliliter 7) kilometer __
2. meter __ 5) millimeter 8) centimeter __
3. gram __ 6) liter 9) milligram __

try these conversions, using the ladder method.

1. 2000 mg = __ g 6) 8 l = ml 11) 16 cm = __ mm
2. 104 km = __ m 7) 108 g = kg 12) 2000 m = __ km
3. 480 cm = __ m 8) 76 ml = l 13) 68 g = __ mg
4. 5.8 kg = __ g 9) 50 cm = m 14) 6.3 cm = __ mm
5. 8 mm = __ cm 10) 5.9 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. 536 cm ○ 53.6 dm 20) 43 mg ○ 5 g 21) 3.8 m ○ 38 cm

Explanation:

Part 1: Abbreviations of Metric Units

1. Kilogram: $\text{kg}$
2. Meter: $\text{m}$
3. Gram: $\text{g}$
4. Milliliter: $\text{mL}$ (or $\text{ml}$)
5. Liter: $\text{L}$
6. Kilometer: $\text{km}$
7. Millimeter: $\text{mm}$
8. Centimeter: $\text{cm}$
9. Milligram: $\text{mg}$

Part 2: Unit Conversions (Ladder Method)

1. $2000\ \text{mg} = \_\_\_\ \text{g}$

Step1: Recall $1\ \text{g} = 1000\ \text{mg}$ (conversion factor).

Step2: Divide by $1000$: $\frac{2000}{1000} = 2$.

Answer:

$2$

2. $104\ \text{km} = \_\_\_\ \text{m}$

Step1: Recall $1\ \text{km} = 1000\ \text{m}$.

Step2: Multiply by $1000$: $104 \times 1000 = 104000$.