Sure! Let’s solve each conversion problem step by step. These are all metric unit conversions, which follow a base-10 system — meaning you multiply or divide by powers of 10 (like 10, 100, 1000) to convert between units.
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Key Conversion Factors:
-
Length:
- 1 km = 1,000 m
- 1 m = 100 cm
- 1 cm = 10 mm
- So: 1 km = 100,000 cm = 1,000,000 mm
-
Mass:
- 1 kg = 1,000 g
-
Volume:
- 1 L = 1,000 mL
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##
✔ Solutions:
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1 a. 2,000 m = ______ km
→ Divide by 1,000 (since 1 km = 1,000 m)
→ 2,000 ÷ 1,000 =
2 km
1 b. 9 km = ______ m
→ Multiply by 1,000
→ 9 × 1,000 =
9,000 m
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2 a. 9,000 mL = ______ L
→ Divide by 1,000 (since 1 L = 1,000 mL)
→ 9,000 ÷ 1,000 =
9 L
2 b. 3 kg = ______ g
→ Multiply by 1,000
→ 3 × 1,000 =
3,000 g
---
3 a. 6 L = ______ mL
→ Multiply by 1,000
→ 6 × 1,000 =
6,000 mL
3 b. 90 mm = ______ cm
→ Divide by 10 (since 1 cm = 10 mm)
→ 90 ÷ 10 =
9 cm
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4 a. 6 cm = ______ mm
→ Multiply by 10
→ 6 × 10 =
60 mm
4 b. 4 km = ______ m
→ Multiply by 1,000
→ 4 × 1,000 =
4,000 m
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5 a. 1,000 m = ______ km
→ Divide by 1,000
→ 1,000 ÷ 1,000 =
1 km
5 b. 2,000 g = ______ kg
→ Divide by 1,000
→ 2,000 ÷ 1,000 =
2 kg
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6 a. 50 mm = ______ cm
→ Divide by 10
→ 50 ÷ 10 =
5 cm
6 b. 400 cm = ______ m
→ Divide by 100 (since 1 m = 100 cm)
→ 400 ÷ 100 =
4 m
---
7 a. 4 L = ______ mL
→ Multiply by 1,000
→ 4 × 1,000 =
4,000 mL
7 b. 3 km = ______ m
→ Multiply by 1,000
→ 3 × 1,000 =
3,000 m
---
8 a. 10,000 g = ______ kg
→ Divide by 1,000
→ 10,000 ÷ 1,000 =
10 kg
8 b. 2 cm = ______ mm
→ Multiply by 10
→ 2 × 10 =
20 mm
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9 a. 10,000 m = ______ km
→ Divide by 1,000
→ 10,000 ÷ 1,000 =
10 km
9 b. 9,000 g = ______ kg
→ Divide by 1,000
→ 9,000 ÷ 1,000 =
9 kg
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10 a. 4,000 g = ______ kg
→ Divide by 1,000
→ 4,000 ÷ 1,000 =
4 kg
10 b. 8,000 mL = ______ L
→ Divide by 1,000
→ 8,000 ÷ 1,000 =
8 L
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## 📝 Final Answers:
1 a. 2 km
1 b. 9,000 m
2 a. 9 L
2 b. 3,000 g
3 a. 6,000 mL
3 b. 9 cm
4 a. 60 mm
4 b. 4,000 m
5 a. 1 km
5 b. 2 kg
6 a. 5 cm
6 b. 4 m
7 a. 4,000 mL
7 b. 3,000 m
8 a. 10 kg
8 b. 20 mm
9 a. 10 km
9 b. 9 kg
10 a. 4 kg
10 b. 8 L
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✔ All done! These conversions rely on moving the decimal point left or right based on how many places you need to shift (e.g., from meters to kilometers → move decimal 3 places left). Let me know if you want a visual chart or mnemonic to remember these!
Parent Tip: Review the logic above to help your child master the concept of unit conversions practice worksheets.