Comprehensive math worksheet designed to help students master metric length conversions and comparisons.
Metric length conversion worksheet with exercises for km, m, cm, and mm including comparisons and conversions.
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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 the problems step by step.
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Part 1: Convert metric units of length
We use these conversions:
- 1 km = 1000 m → multiply by 1000 to go from km to m; divide by 1000 to go from m to km
- 1 m = 100 cm → multiply by 100 to go from m to cm; divide by 100 to go from cm to m
- 1 cm = 10 mm → multiply by 10 to go from cm to mm; divide by 10 to go from mm to cm
Now solve each:
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
✔ All conversions done correctly.
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Part 2: Which is the most? Circle the largest amount in each box.
We need to compare all values in each column and pick the biggest one. Let’s convert everything to meters (m) for easy comparison.
Column 1:
- 100 m → 100 m
- 1 km → 1000 m ← largest so far
- 1000 cm → 1000 ÷ 100 = 10 m
→ Largest: 1 km
Column 2:
- 3 km → 3000 m ← largest
- 2850 m → 2850 m
- 5000 cm → 5000 ÷ 100 = 50 m
→ Largest: 3 km
Column 3:
- 380 cm → 380 ÷ 100 = 3.8 m
- 4000 mm → 4000 ÷ 1000 = 4 m
- 3 m → 3 m
→ Largest: 4000 mm (which is 4 m)
Wait — let’s double-check:
380 cm = 3.8 m
4000 mm = 4 m → yes, bigger than 3.8 m and 3 m
So 4000 mm is largest.
But wait — maybe we should check if any other unit is larger? No, only three items here.
Actually, looking again at the image — it says “Circle the largest amount in each box.” So we just circle one per column.
In Column 3:
380 cm = 3.8 m
4000 mm = 4 m → YES, this is largest
3 m = 3 m
→ Circle 4000 mm
Column 4:
- 9020 m → 9020 m
- 20,000 cm → 20,000 ÷ 100 = 200 m
- 9 km → 9 × 1000 = 9000 m
Compare: 9020 m vs 9000 m → 9020 m is bigger!
→ Circle 9020 m
Wait — but 9 km = 9000 m, and 9020 m > 9000 m → correct.
So final circles:
- Col1: 1 km
- Col2: 3 km
- Col3: 4000 mm
- Col4: 9020 m
(Note: In the original worksheet, “1 km” is already circled — that’s correct.)
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Part 3: Use >, <, or = to compare amounts
Again, convert both sides to same unit.
1) 3 km ___ 2000 m
3 km = 3000 m → 3000 > 2000 → >
2) 1000 m ___ 1 km
1 km = 1000 m → equal → =
3) 5 cm ___ 50 mm
5 cm = 50 mm → equal → =
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 → equal → =
8) 800 cm ___ 7 m
7 m = 700 cm → 800 > 700 → >
9) 40 cm ___ 4 m
4 m = 400 cm → 40 < 400 → <
10) 5 km ___ 4900 m
5 km = 5000 m → 5000 > 4900 → >
All comparisons verified.
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Final Answer:
1) 5000
2) 6
3) 80
4) 4
5) 9
6) 12
7) 7000
8) 140
9) 1200
10) 13
11) 13
12) 14
Most: 1 km, 3 km, 4000 mm, 9020 m
Comparisons:
1) >
2) =
3) =
4) <
5) >
6) <
7) =
8) >
9) <
10) >
---
Part 1: Convert metric units of length
We use these conversions:
- 1 km = 1000 m → multiply by 1000 to go from km to m; divide by 1000 to go from m to km
- 1 m = 100 cm → multiply by 100 to go from m to cm; divide by 100 to go from cm to m
- 1 cm = 10 mm → multiply by 10 to go from cm to mm; divide by 10 to go from mm to cm
Now solve each:
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
✔ All conversions done correctly.
---
Part 2: Which is the most? Circle the largest amount in each box.
We need to compare all values in each column and pick the biggest one. Let’s convert everything to meters (m) for easy comparison.
Column 1:
- 100 m → 100 m
- 1 km → 1000 m ← largest so far
- 1000 cm → 1000 ÷ 100 = 10 m
→ Largest: 1 km
Column 2:
- 3 km → 3000 m ← largest
- 2850 m → 2850 m
- 5000 cm → 5000 ÷ 100 = 50 m
→ Largest: 3 km
Column 3:
- 380 cm → 380 ÷ 100 = 3.8 m
- 4000 mm → 4000 ÷ 1000 = 4 m
- 3 m → 3 m
→ Largest: 4000 mm (which is 4 m)
Wait — let’s double-check:
380 cm = 3.8 m
4000 mm = 4 m → yes, bigger than 3.8 m and 3 m
So 4000 mm is largest.
But wait — maybe we should check if any other unit is larger? No, only three items here.
Actually, looking again at the image — it says “Circle the largest amount in each box.” So we just circle one per column.
In Column 3:
380 cm = 3.8 m
4000 mm = 4 m → YES, this is largest
3 m = 3 m
→ Circle 4000 mm
Column 4:
- 9020 m → 9020 m
- 20,000 cm → 20,000 ÷ 100 = 200 m
- 9 km → 9 × 1000 = 9000 m
Compare: 9020 m vs 9000 m → 9020 m is bigger!
→ Circle 9020 m
Wait — but 9 km = 9000 m, and 9020 m > 9000 m → correct.
So final circles:
- Col1: 1 km
- Col2: 3 km
- Col3: 4000 mm
- Col4: 9020 m
(Note: In the original worksheet, “1 km” is already circled — that’s correct.)
---
Part 3: Use >, <, or = to compare amounts
Again, convert both sides to same unit.
1) 3 km ___ 2000 m
3 km = 3000 m → 3000 > 2000 → >
2) 1000 m ___ 1 km
1 km = 1000 m → equal → =
3) 5 cm ___ 50 mm
5 cm = 50 mm → equal → =
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 → equal → =
8) 800 cm ___ 7 m
7 m = 700 cm → 800 > 700 → >
9) 40 cm ___ 4 m
4 m = 400 cm → 40 < 400 → <
10) 5 km ___ 4900 m
5 km = 5000 m → 5000 > 4900 → >
All comparisons verified.
---
Final Answer:
1) 5000
2) 6
3) 80
4) 4
5) 9
6) 12
7) 7000
8) 140
9) 1200
10) 13
11) 13
12) 14
Most: 1 km, 3 km, 4000 mm, 9020 m
Comparisons:
1) >
2) =
3) =
4) <
5) >
6) <
7) =
8) >
9) <
10) >
Parent Tip: Review the logic above to help your child master the concept of conversion metric system worksheet.