Metric Conversions worksheet - Free Printable
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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 step by step.
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Part 1: Convert the following metric units of length.
We use the chart:
- km → m: ×1000
- m → cm: ×100
- cm → mm: ×10
And backwards:
- mm → cm: ÷10
- cm → m: ÷100
- m → km: ÷1000
Now let’s do each problem:
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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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 (let’s use meters) to compare.
Box 1:
- 100 m → 100 m
- 1 km → 1000 m
- 1000 cm → 1000 ÷ 100 = 10 m
→ Largest: 1 km
Box 2:
- 3 km → 3000 m
- 2850 m → 2850 m
- 5000 cm → 5000 ÷ 100 = 50 m
→ Largest: 3 km
Box 3:
- 380 cm → 380 ÷ 100 = 3.8 m
- 4000 mm → 4000 ÷ 1000 = 4 m (since 1000 mm = 1 m)
Wait — better to go step by step:
Actually, 4000 mm → divide by 10 to get cm → 400 cm → then divide by 100 to get m → 4 m
Or directly: 4000 mm ÷ 1000 = 4 m
- 3 m → 3 m
So: 3.8 m, 4 m, 3 m → Largest: 4000 mm
But wait — let me double-check:
Is 4000 mm really 4 m? Yes! Because 1000 mm = 1 m → so 4000 mm = 4 m.
Yes, that’s correct.
Box 4:
- 9020 m → 9020 m
- 20,000 cm → 20,000 ÷ 100 = 200 m
- 9 km → 9 × 1000 = 9000 m
Compare: 9020 m, 200 m, 9000 m → Largest: 9020 m
Wait — but 9020 > 9000, yes. So 9020 m is biggest.
BUT — hold on! The question says “circle the largest amount”. In Box 4, 9020 m is bigger than 9 km (which is 9000 m). So yes, 9020 m wins.
However, sometimes students might think 9 km is bigger because it has “km”, but numerically 9020 m > 9000 m.
So answers for Part 2:
- Box 1: 1 km
- Box 2: 3 km
- Box 3: 4000 mm
- Box 4: 9020 m
Wait — let me check Box 3 again. Is there a trick?
Box 3:
- 380 cm = 3.8 m
- 4000 mm = 4 m
- 3 m = 3 m
Yes, 4 m is largest → so 4000 mm is correct.
But what if we convert everything to cm?
380 cm
4000 mm = 400 cm (because 10 mm = 1 cm → 4000 ÷ 10 = 400 cm)
3 m = 300 cm
So 400 cm > 380 cm > 300 cm → still 4000 mm is largest.
Good.
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Part 3: Use >, <, or = to compare.
Again, convert to same unit.
1) 3 km vs 2000 m
3 km = 3000 m → 3000 > 2000 → >
2) 1000 m vs 1 km
1 km = 1000 m → =
3) 5 cm vs 50 mm
5 cm = 50 mm → =
4) 300 m vs 3 km
3 km = 3000 m → 300 < 3000 → <
5) 7 m vs 500 cm
7 m = 700 cm → 700 > 500 → >
6) 6 cm vs 80 mm
6 cm = 60 mm → 60 < 80 → <
7) 30 mm vs 3 cm
3 cm = 30 mm → =
8) 800 cm vs 7 m
7 m = 700 cm → 800 > 700 → >
9) 40 cm vs 4 m
4 m = 400 cm → 40 < 400 → <
10) 5 km vs 4900 m
5 km = 5000 m → 5000 > 4900 → >
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Now let’s compile final answers.
Final Answer:
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
Part 2: Largest in each box:
Box 1: 1 km
Box 2: 3 km
Box 3: 4000 mm
Box 4: 9020 m
Part 3: Comparison symbols:
1) >
2) =
3) =
4) <
5) >
6) <
7) =
8) >
9) <
10) >
---
Part 1: Convert the following metric units of length.
We use the chart:
- km → m: ×1000
- m → cm: ×100
- cm → mm: ×10
And backwards:
- mm → cm: ÷10
- cm → m: ÷100
- m → km: ÷1000
Now let’s do each problem:
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
---
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 (let’s use meters) to compare.
Box 1:
- 100 m → 100 m
- 1 km → 1000 m
- 1000 cm → 1000 ÷ 100 = 10 m
→ Largest: 1 km
Box 2:
- 3 km → 3000 m
- 2850 m → 2850 m
- 5000 cm → 5000 ÷ 100 = 50 m
→ Largest: 3 km
Box 3:
- 380 cm → 380 ÷ 100 = 3.8 m
- 4000 mm → 4000 ÷ 1000 = 4 m (since 1000 mm = 1 m)
Wait — better to go step by step:
Actually, 4000 mm → divide by 10 to get cm → 400 cm → then divide by 100 to get m → 4 m
Or directly: 4000 mm ÷ 1000 = 4 m
- 3 m → 3 m
So: 3.8 m, 4 m, 3 m → Largest: 4000 mm
But wait — let me double-check:
Is 4000 mm really 4 m? Yes! Because 1000 mm = 1 m → so 4000 mm = 4 m.
Yes, that’s correct.
Box 4:
- 9020 m → 9020 m
- 20,000 cm → 20,000 ÷ 100 = 200 m
- 9 km → 9 × 1000 = 9000 m
Compare: 9020 m, 200 m, 9000 m → Largest: 9020 m
Wait — but 9020 > 9000, yes. So 9020 m is biggest.
BUT — hold on! The question says “circle the largest amount”. In Box 4, 9020 m is bigger than 9 km (which is 9000 m). So yes, 9020 m wins.
However, sometimes students might think 9 km is bigger because it has “km”, but numerically 9020 m > 9000 m.
So answers for Part 2:
- Box 1: 1 km
- Box 2: 3 km
- Box 3: 4000 mm
- Box 4: 9020 m
Wait — let me check Box 3 again. Is there a trick?
Box 3:
- 380 cm = 3.8 m
- 4000 mm = 4 m
- 3 m = 3 m
Yes, 4 m is largest → so 4000 mm is correct.
But what if we convert everything to cm?
380 cm
4000 mm = 400 cm (because 10 mm = 1 cm → 4000 ÷ 10 = 400 cm)
3 m = 300 cm
So 400 cm > 380 cm > 300 cm → still 4000 mm is largest.
Good.
---
Part 3: Use >, <, or = to compare.
Again, convert to same unit.
1) 3 km vs 2000 m
3 km = 3000 m → 3000 > 2000 → >
2) 1000 m vs 1 km
1 km = 1000 m → =
3) 5 cm vs 50 mm
5 cm = 50 mm → =
4) 300 m vs 3 km
3 km = 3000 m → 300 < 3000 → <
5) 7 m vs 500 cm
7 m = 700 cm → 700 > 500 → >
6) 6 cm vs 80 mm
6 cm = 60 mm → 60 < 80 → <
7) 30 mm vs 3 cm
3 cm = 30 mm → =
8) 800 cm vs 7 m
7 m = 700 cm → 800 > 700 → >
9) 40 cm vs 4 m
4 m = 400 cm → 40 < 400 → <
10) 5 km vs 4900 m
5 km = 5000 m → 5000 > 4900 → >
---
Now let’s compile final answers.
Final Answer:
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
Part 2: Largest in each box:
Box 1: 1 km
Box 2: 3 km
Box 3: 4000 mm
Box 4: 9020 m
Part 3: Comparison symbols:
1) >
2) =
3) =
4) <
5) >
6) <
7) =
8) >
9) <
10) >
Parent Tip: Review the logic above to help your child master the concept of converting metric measurements worksheet.