Comprehensive practice sheet for students to master converting between kilometers, meters, centimeters, and millimeters.
Metric length conversion worksheet with exercises for kilometers, meters, centimeters, and millimeters.
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Show Answer Key & Explanations
Step-by-step solution for: Metric Conversions worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Metric Conversions worksheet
Let's solve each part of this worksheet step by step.
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We use the conversion chart:
- km → m: ×1000
- m → cm: ×100
- cm → mm: ×10
And reverse for smaller to larger units (divide).
---
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
---
1) 5000 m
2) 6 m
3) 80 mm
4) 4 km
5) 9 m
6) 12 cm
7) 7000 m
8) 140 mm
9) 1200 cm
10) 13 km
11) 13 cm
12) 14 m
---
We need to convert all values in each box to the same unit and compare.
#### Box 1: 100 m, 1 km, 1000 cm
Convert all to meters:
- 100 m = 100 m
- 1 km = 1000 m
- 1000 cm = 1000 ÷ 100 = 10 m
→ Largest: 1 km ✔ (already circled)
#### Box 2: 3 km, 2850 m, 5000 cm
Convert to meters:
- 3 km = 3000 m
- 2850 m = 2850 m
- 5000 cm = 5000 ÷ 100 = 50 m
→ Largest: 3 km
#### Box 3: 380 cm, 4000 mm, 3 m
Convert to centimeters:
- 380 cm = 380 cm
- 4000 mm = 4000 ÷ 10 = 400 cm
- 3 m = 3 × 100 = 300 cm
→ Largest: 4000 mm (400 cm)
#### Box 4: 9020 m, 20,000 cm, 9 km
Convert to meters:
- 9020 m = 9020 m
- 20,000 cm = 20,000 ÷ 100 = 200 m
- 9 km = 9 × 1000 = 9000 m
→ Compare: 9020 m > 9000 m > 200 m
→ Largest: 9020 m
✔ So, circle:
- Box 1: 1 km (already done)
- Box 2: 3 km
- Box 3: 4000 mm
- Box 4: 9020 m
---
We convert both sides to the same unit and compare.
1) 3 km ___ 2000 m
3 km = 3000 m → 3000 > 2000 → >
2) 1000 m ___ 1 km
1 km = 1000 m → 1000 = 1000 → =
3) 5 cm ___ 50 mm
5 cm = 50 mm → 50 = 50 → =
4) 300 m ___ 3 km
3 km = 3000 m → 300 < 3000 → <
5) 7 m ___ 500 cm
7 m = 700 cm → 700 > 500 → >
6) 6 cm ___ 80 mm
6 cm = 60 mm → 60 < 80 → <
7) 30 mm ___ 3 cm
3 cm = 30 mm → 30 = 30 → =
8) 800 cm ___ 7 m
800 cm = 8 m → 8 > 7 → >
9) 40 cm ___ 4 m
4 m = 400 cm → 40 < 400 → <
10) 5 km ___ 4900 m
5 km = 5000 m → 5000 > 4900 → >
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| Problem | Answer |
|--------|--------|
| 1) 3 km ___ 2000 m | > |
| 2) 1000 m ___ 1 km | = |
| 3) 5 cm ___ 50 mm | = |
| 4) 300 m ___ 3 km | < |
| 5) 7 m ___ 500 cm | > |
| 6) 6 cm ___ 80 mm | < |
| 7) 30 mm ___ 3 cm | = |
| 8) 800 cm ___ 7 m | > |
| 9) 40 cm ___ 4 m | < |
| 10) 5 km ___ 4900 m | > |
---
#### Conversion Problems:
1) 5000 m
2) 6 m
3) 80 mm
4) 4 km
5) 9 m
6) 12 cm
7) 7000 m
8) 140 mm
9) 1200 cm
10) 13 km
11) 13 cm
12) 14 m
#### Which is the most? (Circle 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) >
Let me know if you'd like a printable version or explanation for any specific question!
---
Part 1: Convert the following metric units of length
We use the conversion chart:
- km → m: ×1000
- m → cm: ×100
- cm → mm: ×10
And reverse for smaller to larger units (divide).
---
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
---
✔ Answers for Part 1:
1) 5000 m
2) 6 m
3) 80 mm
4) 4 km
5) 9 m
6) 12 cm
7) 7000 m
8) 140 mm
9) 1200 cm
10) 13 km
11) 13 cm
12) 14 m
---
Part 2: Which is the most? Circle the largest amount in each box
We need to convert all values in each box to the same unit and compare.
#### Box 1: 100 m, 1 km, 1000 cm
Convert all to meters:
- 100 m = 100 m
- 1 km = 1000 m
- 1000 cm = 1000 ÷ 100 = 10 m
→ Largest: 1 km ✔ (already circled)
#### Box 2: 3 km, 2850 m, 5000 cm
Convert to meters:
- 3 km = 3000 m
- 2850 m = 2850 m
- 5000 cm = 5000 ÷ 100 = 50 m
→ Largest: 3 km
#### Box 3: 380 cm, 4000 mm, 3 m
Convert to centimeters:
- 380 cm = 380 cm
- 4000 mm = 4000 ÷ 10 = 400 cm
- 3 m = 3 × 100 = 300 cm
→ Largest: 4000 mm (400 cm)
#### Box 4: 9020 m, 20,000 cm, 9 km
Convert to meters:
- 9020 m = 9020 m
- 20,000 cm = 20,000 ÷ 100 = 200 m
- 9 km = 9 × 1000 = 9000 m
→ Compare: 9020 m > 9000 m > 200 m
→ Largest: 9020 m
✔ So, circle:
- Box 1: 1 km (already done)
- Box 2: 3 km
- Box 3: 4000 mm
- Box 4: 9020 m
---
Part 3: Use >, <, or = to compare
We convert both sides to the same unit and compare.
1) 3 km ___ 2000 m
3 km = 3000 m → 3000 > 2000 → >
2) 1000 m ___ 1 km
1 km = 1000 m → 1000 = 1000 → =
3) 5 cm ___ 50 mm
5 cm = 50 mm → 50 = 50 → =
4) 300 m ___ 3 km
3 km = 3000 m → 300 < 3000 → <
5) 7 m ___ 500 cm
7 m = 700 cm → 700 > 500 → >
6) 6 cm ___ 80 mm
6 cm = 60 mm → 60 < 80 → <
7) 30 mm ___ 3 cm
3 cm = 30 mm → 30 = 30 → =
8) 800 cm ___ 7 m
800 cm = 8 m → 8 > 7 → >
9) 40 cm ___ 4 m
4 m = 400 cm → 40 < 400 → <
10) 5 km ___ 4900 m
5 km = 5000 m → 5000 > 4900 → >
---
✔ Answers for Part 3:
| Problem | Answer |
|--------|--------|
| 1) 3 km ___ 2000 m | > |
| 2) 1000 m ___ 1 km | = |
| 3) 5 cm ___ 50 mm | = |
| 4) 300 m ___ 3 km | < |
| 5) 7 m ___ 500 cm | > |
| 6) 6 cm ___ 80 mm | < |
| 7) 30 mm ___ 3 cm | = |
| 8) 800 cm ___ 7 m | > |
| 9) 40 cm ___ 4 m | < |
| 10) 5 km ___ 4900 m | > |
---
✔ Final Answer Summary:
#### Conversion Problems:
1) 5000 m
2) 6 m
3) 80 mm
4) 4 km
5) 9 m
6) 12 cm
7) 7000 m
8) 140 mm
9) 1200 cm
10) 13 km
11) 13 cm
12) 14 m
#### Which is the most? (Circle 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) >
Let me know if you'd like a printable version or explanation for any specific question!
Parent Tip: Review the logic above to help your child master the concept of metric system conversion worksheet pdf.