Metric Conversions Practice worksheet - Free Printable
Educational worksheet: Metric Conversions Practice worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: Metric Conversions Practice worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Metric Conversions Practice worksheet
Let's solve the metric conversion problems step by step, using the provided chart and rules:
---
- Smaller → Larger unit: Divide by 10 for each step.
- Larger → Smaller unit: Multiply by 10 for each step.
The metric prefixes (from largest to smallest):
```
kilo- → hecto- → deka- → unit → deci- → centi- → milli-
```
Each step is ×10 or ÷10.
---
## ✔ Part 1: Converting Units
- km → m: move 3 steps right (kilo → hecto → deka → meter)
- Multiply by 10³ = 1000
- 3.28 × 1000 = 3280 m
✔ Answer: 3280 m
---
- g → kg: move 3 steps left (gram → deka → hecto → kilo)
- Divide by 1000
- 4912 ÷ 1000 = 4.912 kg
✔ Answer: 4.912 kg
---
- mL → L: move 3 steps left (milli → centi → deci → liter)
- Divide by 1000
- 3000 ÷ 1000 = 3 L
✔ Answer: 3 L
---
- L → mL: move 3 steps right
- Multiply by 1000
- 8.91 × 1000 = 8910 mL
✔ Answer: 8910 mL
---
- m → cm: move 2 steps right (meter → deci → centi)
- Multiply by 100
- 5.6 × 100 = 560 cm
✔ Answer: 560 cm
---
- cm → mm: move 1 step right
- Multiply by 10
- 3 × 10 = 30 mm
✔ Answer: 30 mm
---
- cm → m: move 2 steps left
- Divide by 100
- 340 ÷ 100 = 3.4 m
✔ Answer: 3.4 m
---
- kg → g: move 3 steps right
- Multiply by 1000
- 3.4 × 1000 = 3400 g
✔ Answer: 3400 g
---
- cm → mm: move 1 step right
- Multiply by 10
- 13 × 10 = 130 mm
✔ Answer: 130 mm
---
- km → m: move 3 steps right
- Multiply by 1000
- 0.43 × 1000 = 430 m
✔ Answer: 430 m
---
## ✔ Part 2: Which value is greatest?
We need to compare values in each column and pick the greatest one.
---
- 1 kg = 1000 g
- 1300 g
- 950 g
Convert all to grams:
- 1 kg = 1000 g
- 1300 g
- 950 g
➡️ Greatest: 1300 g
✔ Check next to 1300 g
---
- 3 km = 3000 m
- 500 m
- 3040 m
Compare:
- 3 km = 3000 m
- 500 m
- 3040 m
➡️ Greatest: 3040 m
✔ Check next to 3040 m
---
- 7090 g
- 7200 g
- 7 kg = 7000 g
So:
- 7090 g
- 7200 g
- 7000 g
➡️ Greatest: 7200 g
✔ Check next to 7200 g
---
- 3 L = 3000 mL
- 2300 mL
- 1950 mL
Compare:
- 3000 mL
- 2300 mL
- 1950 mL
➡️ Greatest: 3 L
✔ Check next to 3 L
---
## ✔ Final Answers:
1) 3280 m
2) 4.912 kg
3) 3 L
4) 8910 mL
5) 560 cm
6) 30 mm
7) 3.4 m
8) 3400 g
9) 130 mm
10) 430 m
---
| | | | |
|--------|---------|---------|---------|
| ☐ 1 kg | ☐ 3 km | ☐ 7090 g | ☐ 3 L |
| ✔ 1300 g | ✔ 3040 m | ✔ 7200 g | ✔ 3 L |
| ☐ 950 g | ☐ 500 m | ☐ 7 kg | ☐ 1950 mL |
> ✔️ So, check marks go to:
> - 1300 g
> - 3040 m
> - 7200 g
> - 3 L
---
Let me know if you'd like a printable version or explanation with diagrams!
---
🔁 Conversion Rules Recap:
- Smaller → Larger unit: Divide by 10 for each step.
- Larger → Smaller unit: Multiply by 10 for each step.
The metric prefixes (from largest to smallest):
```
kilo- → hecto- → deka- → unit → deci- → centi- → milli-
```
Each step is ×10 or ÷10.
---
## ✔ Part 1: Converting Units
1) 3.28 km = ________ m
- km → m: move 3 steps right (kilo → hecto → deka → meter)
- Multiply by 10³ = 1000
- 3.28 × 1000 = 3280 m
✔ Answer: 3280 m
---
2) 4912 g = ________ kg
- g → kg: move 3 steps left (gram → deka → hecto → kilo)
- Divide by 1000
- 4912 ÷ 1000 = 4.912 kg
✔ Answer: 4.912 kg
---
3) ________ L = 3000 mL
- mL → L: move 3 steps left (milli → centi → deci → liter)
- Divide by 1000
- 3000 ÷ 1000 = 3 L
✔ Answer: 3 L
---
4) 8.91 L = ________ mL
- L → mL: move 3 steps right
- Multiply by 1000
- 8.91 × 1000 = 8910 mL
✔ Answer: 8910 mL
---
5) 5.6 m = ________ cm
- m → cm: move 2 steps right (meter → deci → centi)
- Multiply by 100
- 5.6 × 100 = 560 cm
✔ Answer: 560 cm
---
6) 3 cm = ________ mm
- cm → mm: move 1 step right
- Multiply by 10
- 3 × 10 = 30 mm
✔ Answer: 30 mm
---
7) 340 cm = ________ m
- cm → m: move 2 steps left
- Divide by 100
- 340 ÷ 100 = 3.4 m
✔ Answer: 3.4 m
---
8) ________ g = 3.4 kg
- kg → g: move 3 steps right
- Multiply by 1000
- 3.4 × 1000 = 3400 g
✔ Answer: 3400 g
---
9) ________ mm = 13 cm
- cm → mm: move 1 step right
- Multiply by 10
- 13 × 10 = 130 mm
✔ Answer: 130 mm
---
10) ________ m = 0.43 km
- km → m: move 3 steps right
- Multiply by 1000
- 0.43 × 1000 = 430 m
✔ Answer: 430 m
---
## ✔ Part 2: Which value is greatest?
We need to compare values in each column and pick the greatest one.
---
🔹 Column 1: Mass (grams vs kg)
- 1 kg = 1000 g
- 1300 g
- 950 g
Convert all to grams:
- 1 kg = 1000 g
- 1300 g
- 950 g
➡️ Greatest: 1300 g
✔ Check next to 1300 g
---
🔹 Column 2: Length (km vs m)
- 3 km = 3000 m
- 500 m
- 3040 m
Compare:
- 3 km = 3000 m
- 500 m
- 3040 m
➡️ Greatest: 3040 m
✔ Check next to 3040 m
---
🔹 Column 3: Mass (grams vs kg)
- 7090 g
- 7200 g
- 7 kg = 7000 g
So:
- 7090 g
- 7200 g
- 7000 g
➡️ Greatest: 7200 g
✔ Check next to 7200 g
---
🔹 Column 4: Capacity (L vs mL)
- 3 L = 3000 mL
- 2300 mL
- 1950 mL
Compare:
- 3000 mL
- 2300 mL
- 1950 mL
➡️ Greatest: 3 L
✔ Check next to 3 L
---
## ✔ Final Answers:
Conversion Problems:
1) 3280 m
2) 4.912 kg
3) 3 L
4) 8910 mL
5) 560 cm
6) 30 mm
7) 3.4 m
8) 3400 g
9) 130 mm
10) 430 m
---
Greatest Value Checks:
| | | | |
|--------|---------|---------|---------|
| ☐ 1 kg | ☐ 3 km | ☐ 7090 g | ☐ 3 L |
| ✔ 1300 g | ✔ 3040 m | ✔ 7200 g | ✔ 3 L |
| ☐ 950 g | ☐ 500 m | ☐ 7 kg | ☐ 1950 mL |
> ✔️ So, check marks go to:
> - 1300 g
> - 3040 m
> - 7200 g
> - 3 L
---
Let me know if you'd like a printable version or explanation with diagrams!
Parent Tip: Review the logic above to help your child master the concept of metric conversion questions.