Metric Conversion Worksheet - Free Printable
Educational worksheet: Metric Conversion Worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: Metric Conversion Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Metric Conversion Worksheet
Let's solve the "Converting Metric Units – Length Sheet 3" step by step. We'll go through each section: conversions, comparing values, and ordering the largest amount.
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We need to convert between kilometers (km), meters (m), centimeters (cm), and millimeters (mm).
Use these conversion factors:
- 1 km = 1000 m
- 1 m = 100 cm
- 1 cm = 10 mm
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#### Conversions:
1) 5 km = ____ m
→ 5 × 1000 = 5000 m
2) 600 cm = ____ m
→ 600 ÷ 100 = 6 m
3) 8 cm = ____ mm
→ 8 × 10 = 80 mm
4) ____ km = 4000 m
→ 4000 ÷ 1000 = 4 km
5) ____ m = 900 cm
→ 900 ÷ 100 = 9 m
6) 120 mm = ____ cm
→ 120 ÷ 10 = 12 cm
7) 7 km = ____ m
→ 7 × 1000 = 7000 m
8) 14 cm = ____ mm
→ 14 × 10 = 140 mm
9) 12 m = ____ cm
→ 12 × 100 = 1200 cm
10) ____ km = 13,000 m
→ 13,000 ÷ 1000 = 13 km
11) ____ cm = 130 mm
→ 130 ÷ 10 = 13 cm
12) 1400 cm = ____ m
→ 1400 ÷ 100 = 14 m
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✔ Answers for Part 1:
1) 5000
2) 6
3) 80
4) 4
5) 9
6) 12
7) 7000
8) 140
9) 1200
10) 13
11) 13
12) 14
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We’ll convert all options to the same unit (preferably meters) and compare.
---
Box 1:
- 100 m → 100 m
- 1 km → 1000 m
- 1000 cm → 1000 ÷ 100 = 10 m
→ Largest: 1 km ✔ (already circled)
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Box 2:
- 3 km = 3000 m
- 2850 m → 2850 m
- 5000 cm = 5000 ÷ 100 = 50 m
→ Compare: 3000 m, 2850 m, 50 m → Largest: 3 km
✔ Circle: 3 km
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Box 3:
- 380 cm = 3.8 m
- 4000 mm = 4000 ÷ 1000 = 4 m
- 3 m = 3 m
→ Compare: 3.8 m, 4 m, 3 m → Largest: 4000 mm
✔ Circle: 4000 mm
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Box 4:
- 9020 m → 9020 m
- 20,000 cm = 20,000 ÷ 100 = 200 m
- 9 km = 9000 m
→ Compare: 9020 m, 200 m, 9000 m → Largest: 9020 m
✔ Circle: 9020 m
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We'll convert both sides to the same unit (usually meters or centimeters) and compare.
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1) 1200 m ___ 1 km
→ 1 km = 1000 m
→ 1200 > 1000 → >
2) 620 cm ___ 7 m
→ 7 m = 700 cm
→ 620 < 700 → <
3) 8 m ___ 750 cm
→ 8 m = 800 cm
→ 800 > 750 → >
4) 82 mm ___ 7 cm
→ 7 cm = 70 mm
→ 82 > 70 → >
5) 45 mm ___ 5 cm
→ 5 cm = 50 mm
→ 45 < 50 → <
6) 1300 cm ___ 13 m
→ 13 m = 1300 cm
→ 1300 = 1300 → =
7) 900 m ___ 9 km
→ 9 km = 9000 m
→ 900 < 9000 → <
8) 3 ½ km ___ 3080 m
→ 3 ½ km = 3.5 km = 3500 m
→ 3500 > 3080 → >
9) 12 cm ___ 120 mm
→ 12 cm = 120 mm
→ 120 = 120 → =
10) 425 cm ___ 4 ½ m
→ 4 ½ m = 4.5 m = 450 cm
→ 425 < 450 → <
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✔ Answers for Part 3:
1) >
2) <
3) >
4) >
5) <
6) =
7) <
8) >
9) =
10) <
---
#### Conversion Problems:
1) 5000
2) 6
3) 80
4) 4
5) 9
6) 12
7) 7000
8) 140
9) 1200
10) 13
11) 13
12) 14
#### Circle the Largest:
- Box 1: 1 km ✔
- Box 2: 3 km
- Box 3: 4000 mm
- Box 4: 9020 m
#### Comparison Signs:
1) >
2) <
3) >
4) >
5) <
6) =
7) <
8) >
9) =
10) <
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Let me know if you'd like this formatted as a printable answer key!
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🔁 Part 1: Converting Metric Units
We need to convert between kilometers (km), meters (m), centimeters (cm), and millimeters (mm).
Use these conversion factors:
- 1 km = 1000 m
- 1 m = 100 cm
- 1 cm = 10 mm
---
#### Conversions:
1) 5 km = ____ m
→ 5 × 1000 = 5000 m
2) 600 cm = ____ m
→ 600 ÷ 100 = 6 m
3) 8 cm = ____ mm
→ 8 × 10 = 80 mm
4) ____ km = 4000 m
→ 4000 ÷ 1000 = 4 km
5) ____ m = 900 cm
→ 900 ÷ 100 = 9 m
6) 120 mm = ____ cm
→ 120 ÷ 10 = 12 cm
7) 7 km = ____ m
→ 7 × 1000 = 7000 m
8) 14 cm = ____ mm
→ 14 × 10 = 140 mm
9) 12 m = ____ cm
→ 12 × 100 = 1200 cm
10) ____ km = 13,000 m
→ 13,000 ÷ 1000 = 13 km
11) ____ cm = 130 mm
→ 130 ÷ 10 = 13 cm
12) 1400 cm = ____ m
→ 1400 ÷ 100 = 14 m
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✔ Answers for Part 1:
1) 5000
2) 6
3) 80
4) 4
5) 9
6) 12
7) 7000
8) 140
9) 1200
10) 13
11) 13
12) 14
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🟨 Part 2: Which is the most? Circle the largest amount in each box
We’ll convert all options to the same unit (preferably meters) and compare.
---
Box 1:
- 100 m → 100 m
- 1 km → 1000 m
- 1000 cm → 1000 ÷ 100 = 10 m
→ Largest: 1 km ✔ (already circled)
---
Box 2:
- 3 km = 3000 m
- 2850 m → 2850 m
- 5000 cm = 5000 ÷ 100 = 50 m
→ Compare: 3000 m, 2850 m, 50 m → Largest: 3 km
✔ Circle: 3 km
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Box 3:
- 380 cm = 3.8 m
- 4000 mm = 4000 ÷ 1000 = 4 m
- 3 m = 3 m
→ Compare: 3.8 m, 4 m, 3 m → Largest: 4000 mm
✔ Circle: 4000 mm
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Box 4:
- 9020 m → 9020 m
- 20,000 cm = 20,000 ÷ 100 = 200 m
- 9 km = 9000 m
→ Compare: 9020 m, 200 m, 9000 m → Largest: 9020 m
✔ Circle: 9020 m
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🔍 Part 3: Use >, <, or = to compare amounts
We'll convert both sides to the same unit (usually meters or centimeters) and compare.
---
1) 1200 m ___ 1 km
→ 1 km = 1000 m
→ 1200 > 1000 → >
2) 620 cm ___ 7 m
→ 7 m = 700 cm
→ 620 < 700 → <
3) 8 m ___ 750 cm
→ 8 m = 800 cm
→ 800 > 750 → >
4) 82 mm ___ 7 cm
→ 7 cm = 70 mm
→ 82 > 70 → >
5) 45 mm ___ 5 cm
→ 5 cm = 50 mm
→ 45 < 50 → <
6) 1300 cm ___ 13 m
→ 13 m = 1300 cm
→ 1300 = 1300 → =
7) 900 m ___ 9 km
→ 9 km = 9000 m
→ 900 < 9000 → <
8) 3 ½ km ___ 3080 m
→ 3 ½ km = 3.5 km = 3500 m
→ 3500 > 3080 → >
9) 12 cm ___ 120 mm
→ 12 cm = 120 mm
→ 120 = 120 → =
10) 425 cm ___ 4 ½ m
→ 4 ½ m = 4.5 m = 450 cm
→ 425 < 450 → <
---
✔ Answers for Part 3:
1) >
2) <
3) >
4) >
5) <
6) =
7) <
8) >
9) =
10) <
---
✔ Final Answers Summary
#### Conversion Problems:
1) 5000
2) 6
3) 80
4) 4
5) 9
6) 12
7) 7000
8) 140
9) 1200
10) 13
11) 13
12) 14
#### Circle the Largest:
- Box 1: 1 km ✔
- Box 2: 3 km
- Box 3: 4000 mm
- Box 4: 9020 m
#### Comparison Signs:
1) >
2) <
3) >
4) >
5) <
6) =
7) <
8) >
9) =
10) <
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Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of worksheet converting units of measurement.