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Grade 5 Math Worksheets: Convert metric lengths with decimals | Worsheets library... - Free Printable

Grade 5 Math Worksheets: Convert metric lengths with decimals | Worsheets library...

Educational worksheet: Grade 5 Math Worksheets: Convert metric lengths with decimals | Worsheets library.... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Grade 5 Math Worksheets: Convert metric lengths with decimals | Worsheets library...
Let’s solve each conversion step by step. We’ll use the rules from the note:

- 1 kilometer (km) = 1,000 meters (m)
- 1 meter (m) = 100 centimeters (cm)
- 1 meter (m) = 1,000 millimeters (mm)
- So, 1 km = 100,000 cm and 1 km = 1,000,000 mm
- Also, 1 cm = 10 mm

We’ll go one problem at a time.

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1. 0.08 km = ? m
Multiply by 1,000 → 0.08 × 1000 = 80 m

2. 0.6 m = ? mm
Multiply by 1,000 → 0.6 × 1000 = 600 mm

3. 0.3 cm = ? mm
Multiply by 10 → 0.3 × 10 = 3 mm

4. 1.9 mm = ? km
First, convert mm to m: divide by 1,000 → 1.9 ÷ 1000 = 0.0019 m
Then convert m to km: divide by 1,000 → 0.0019 ÷ 1000 = 0.0000019 km

5. 0.77 km = ? m
Multiply by 1,000 → 0.77 × 1000 = 770 m

6. 9.5 m = ? mm
Multiply by 1,000 → 9.5 × 1000 = 9,500 mm

7. 0.8 m = ? km
Divide by 1,000 → 0.8 ÷ 1000 = 0.0008 km

8. 0.46 mm = ? m
Divide by 1,000 → 0.46 ÷ 1000 = 0.00046 m

9. 0.5 m = ? km
Divide by 1,000 → 0.5 ÷ 1000 = 0.0005 km

10. 0.03 m = ? cm
Multiply by 100 → 0.03 × 100 = 3 cm

11. 0.30 cm = ? m
Divide by 100 → 0.30 ÷ 100 = 0.003 m

12. 2.0 m = ? cm
Multiply by 100 → 2.0 × 100 = 200 cm

13. 0.05 cm = ? km
First, cm to m: divide by 100 → 0.05 ÷ 100 = 0.0005 m
Then m to km: divide by 1,000 → 0.0005 ÷ 1000 = 0.0000005 km

14. 0.5 cm = ? m
Divide by 100 → 0.5 ÷ 100 = 0.005 m

15. 0.2 m = ? km
Divide by 1,000 → 0.2 ÷ 1000 = 0.0002 km

16. 4 mm = ? cm
Divide by 10 → 4 ÷ 10 = 0.4 cm

17. 0.04 mm = ? cm
Divide by 10 → 0.04 ÷ 10 = 0.004 cm

18. 0.03 km = ? m
Multiply by 1,000 → 0.03 × 1000 = 30 m

19. 0.41 m = ? km
Divide by 1,000 → 0.41 ÷ 1000 = 0.00041 km

20. 3.2 mm = ? km
First, mm to m: divide by 1,000 → 3.2 ÷ 1000 = 0.0032 m
Then m to km: divide by 1,000 → 0.0032 ÷ 1000 = 0.0000032 km

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Final Answer:
1. 80 m
2. 600 mm
3. 3 mm
4. 0.0000019 km
5. 770 m
6. 9,500 mm
7. 0.0008 km
8. 0.00046 m
9. 0.0005 km
10. 3 cm
11. 0.003 m
12. 200 cm
13. 0.0000005 km
14. 0.005 m
15. 0.0002 km
16. 0.4 cm
17. 0.004 cm
18. 30 m
19. 0.00041 km
20. 0.0000032 km
Parent Tip: Review the logic above to help your child master the concept of measurement worksheet 5th grade.
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