Metric System Conversions worksheet with sections for mass, length, and volume unit conversions using the metric system.

Let's solve each part of this Metric System Conversions worksheet step by step using the metric map method.

The metric prefixes in order from largest to smallest are:

> kilo → hecto → deka → UNIT (g, l, m) → deci → centi → milli

Each step represents a factor of 10. To convert:
- Move the decimal point right when going from larger to smaller units.
- Move the decimal point left when going from smaller to larger units.

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✔ Part A – Convert each mass as indicated

We're working with grams (g) and its prefixes.

#### 1) 50 mg = ______ g
- mg → g: move 3 steps left (milli → centi → deci → unit)
- 50 mg = 0.050 g
✔ 0.05 g

#### 2) 93 mg = ______ g
- Same as above: 93 ÷ 1000 = 0.093 g
✔ 0.093 g

#### 3) 183 cg = ______ kg
- cg → g → kg
- cg → g: 2 steps right → 183 cg = 1.83 g
- g → kg: 3 steps left → 1.83 g = 0.00183 kg
✔ 0.00183 kg

#### 4) 35 g = ______ mg
- g → mg: 3 steps right → 35 × 1000 = 35,000 mg
✔ 35,000 mg

#### 5) 19 dg = ______ hg
- dg → g → hg
- dg → g: 1 step left → 19 dg = 1.9 g
- g → hg: 2 steps left → 1.9 g = 0.019 hg
✔ 0.019 hg

#### 6) 0.25 kg = ______ g
- kg → g: 3 steps right → 0.25 × 1000 = 250 g
✔ 250 g

#### 7) 100 g = ______ kg
- g → kg: 3 steps left → 100 ÷ 1000 = 0.1 kg
✔ 0.1 kg

#### 8) 0.55 g = ______ mg
- g → mg: 3 steps right → 0.55 × 1000 = 550 mg
✔ 550 mg

#### 9) 1 g = ______ kg
- g → kg: 3 steps left → 1 ÷ 1000 = 0.001 kg
✔ 0.001 kg

#### 10) 14 kg = ______ g
- kg → g: 3 steps right → 14 × 1000 = 14,000 g
✔ 14,000 g

#### 11) 1 kg = ______ mg
- kg → g → mg: 3 + 3 = 6 steps right → 1 × 1,000,000 = 1,000,000 mg
✔ 1,000,000 mg

#### 12) 0.005 kg = ______ cg
- kg → g → cg
- kg → g: 3 steps right → 0.005 × 1000 = 5 g
- g → cg: 2 steps right → 5 × 100 = 500 cg
✔ 500 cg

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✔ Part B – Convert each length as indicated

Working with meters (m)

#### 1) 0.25 m = ______ cm
- m → cm: 2 steps right → 0.25 × 100 = 25 cm
✔ 25 cm

#### 2) 73 cm = ______ m
- cm → m: 2 steps left → 73 ÷ 100 = 0.73 m
✔ 0.73 m

#### 3) 1000 m = ______ km
- m → km: 3 steps left → 1000 ÷ 1000 = 1 km
✔ 1 km

#### 4) 1.2 km = ______ m
- km → m: 3 steps right → 1.2 × 1000 = 1200 m
✔ 1200 m

#### 5) 1 km = ______ cm
- km → m → cm: 3 + 2 = 5 steps right → 1 × 100,000 = 100,000 cm
✔ 100,000 cm

#### 6) 0.05 m = ______ cm
- m → cm: 2 steps right → 0.05 × 100 = 5 cm
✔ 5 cm

#### 7) 200 cm = ______ hm
- cm → m → hm
- cm → m: 2 steps left → 200 ÷ 100 = 2 m
- m → hm: 2 steps left → 2 ÷ 100 = 0.02 hm
✔ 0.02 hm

#### 8) 500 m = ______ km
- m → km: 3 steps left → 500 ÷ 1000 = 0.5 km
✔ 0.5 km

#### 9) 22 m = ______ mm
- m → mm: 3 steps right → 22 × 1000 = 22,000 mm
✔ 22,000 mm

#### 10) 0.5 km = ______ cm
- km → m → cm: 3 + 2 = 5 steps right → 0.5 × 100,000 = 50,000 cm
✔ 50,000 cm

#### 11) 100 km = ______ mm
- km → m → mm: 3 + 3 = 6 steps right → 100 × 1,000,000 = 100,000,000 mm
✔ 100,000,000 mm

#### 12) 43 m = ______ km
- m → km: 3 steps left → 43 ÷ 1000 = 0.043 km
✔ 0.043 km

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✔ Part C – Convert each volume as indicated

Working with liters (L)

#### 1) 1 L = ______ mL
- L → mL: 3 steps right → 1 × 1000 = 1000 mL
✔ 1000 mL

#### 2) 1,100 mL = ______ L
- mL → L: 3 steps left → 1100 ÷ 1000 = 1.1 L
✔ 1.1 L

#### 3) 4.5 L = ______ mL
- L → mL: 3 steps right → 4.5 × 1000 = 4500 mL
✔ 4500 mL

#### 4) 50 cL = ______ L
- cL → L: 2 steps left → 50 ÷ 100 = 0.5 L
✔ 0.5 L

#### 5) 0.66 kL = ______ L
- kL → L: 3 steps right → 0.66 × 1000 = 660 L
✔ 660 L

#### 6) 50 hL = ______ cL
- hL → L → cL
- hL → L: 2 steps right → 50 × 100 = 5000 L
- L → cL: 2 steps right → 5000 × 100 = 500,000 cL
✔ 500,000 cL

#### 7) 100 L = ______ mL
- L → mL: 3 steps right → 100 × 1000 = 100,000 mL
✔ 100,000 mL

#### 8) 1.39 L = ______ mL
- L → mL: 3 steps right → 1.39 × 1000 = 1390 mL
✔ 1390 mL

#### 9) 5,000 mL = ______ kL
- mL → L → kL
- mL → L: 3 steps left → 5000 ÷ 1000 = 5 L
- L → kL: 3 steps left → 5 ÷ 1000 = 0.005 kL
✔ 0.005 kL

#### 10) 15 cL = ______ hL
- cL → L → hL
- cL → L: 2 steps left → 15 ÷ 100 = 0.15 L
- L → hL: 2 steps left → 0.15 ÷ 100 = 0.0015 hL
✔ 0.0015 hL

#### 11) 18 mL = ______ cL
- mL → cL: 1 step left → 18 ÷ 10 = 1.8 cL
✔ 1.8 cL

#### 12) 0.1 cL = ______ kL
- cL → L → kL
- cL → L: 2 steps left → 0.1 ÷ 100 = 0.001 L
- L → kL: 3 steps left → 0.001 ÷ 1000 = 0.000001 kL
✔ 0.000001 kL

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✔ Final Answer Key:

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#### Part A – Mass
1) 0.05 g
2) 0.093 g
3) 0.00183 kg
4) 35,000 mg
5) 0.019 hg
6) 250 g
7) 0.1 kg
8) 550 mg
9) 0.001 kg
10) 14,000 g
11) 1,000,000 mg
12) 500 cg

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#### Part B – Length
1) 25 cm
2) 0.73 m
3) 1 km
4) 1200 m
5) 100,000 cm
6) 5 cm
7) 0.02 hm
8) 0.5 km
9) 22,000 mm
10) 50,000 cm
11) 100,000,000 mm
12) 0.043 km

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#### Part C – Volume
1) 1000 mL
2) 1.1 L
3) 4500 mL
4) 0.5 L
5) 660 L
6) 500,000 cL
7) 100,000 mL
8) 1390 mL
9) 0.005 kL
10) 0.0015 hL
11) 1.8 cL
12) 0.000001 kL

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