Let's solve the
"Convert metric units of length" worksheet step by step. This is a Grade 6 math exercise that involves converting between
centimeters (cm),
meters (m), and
millimeters (mm) using the metric system.
🔢 Key Conversion Facts:
-
1 meter (m) = 100 centimeters (cm)
-
1 centimeter (cm) = 10 millimeters (mm)
- Therefore:
-
1 m = 100 cm = 1000 mm
---
We’ll go through each problem:
---
1. 37 cm = ______ mm
→ Multiply by 10 (since 1 cm = 10 mm)
→ 37 × 10 =
370 mm
✔ Answer: 370 mm
---
2. 927 cm = ______ m
→ Divide by 100 (since 1 m = 100 cm)
→ 927 ÷ 100 =
9.27 m
✔ Answer: 9.27 m
---
3. 598 m = ______ cm
→ Multiply by 100 (since 1 m = 100 cm)
→ 598 × 100 =
59,800 cm
✔ Answer: 59,800 cm
---
4. 20 m = ______ cm
→ 20 × 100 =
2,000 cm
✔ Answer: 2,000 cm
---
5. 914 m = ______ cm
→ 914 × 100 =
91,400 cm
✔ Answer: 91,400 cm
---
6. 58 m = ______ cm
→ 58 × 100 =
5,800 cm
✔ Answer: 5,800 cm
---
7. 863 m = ______ cm
→ 863 × 100 =
86,300 cm
✔ Answer: 86,300 cm
---
8. 626 m = ______ mm
→ First convert to cm: 626 × 100 = 62,600 cm
→ Then convert to mm: 62,600 × 10 =
626,000 mm
OR directly: 626 m × 1000 =
626,000 mm
✔ Answer: 626,000 mm
---
9. 38 m = ______ cm
→ 38 × 100 =
3,800 cm
✔ Answer: 3,800 cm
---
10. 771 cm = ______ m
→ Divide by 100 → 771 ÷ 100 =
7.71 m
✔ Answer: 7.71 m
---
11. 18 m = ______ mm
→ 18 × 1000 =
18,000 mm
✔ Answer: 18,000 mm
---
12. 442 cm = ______ mm
→ 442 × 10 =
4,420 mm
✔ Answer: 4,420 mm
---
13. 34 m = ______ mm
→ 34 × 1000 =
34,000 mm
✔ Answer: 34,000 mm
---
14. 646 m = ______ mm
→ 646 × 1000 =
646,000 mm
✔ Answer: 646,000 mm
---
15. 704 m = ______ cm
→ 704 × 100 =
70,400 cm
✔ Answer: 70,400 cm
---
16. 584 m = ______ cm
→ 584 × 100 =
58,400 cm
✔ Answer: 58,400 cm
---
17. 830 cm = ______ mm
→ 830 × 10 =
8,300 mm
✔ Answer: 8,300 mm
---
18. 23 m = ______ cm
→ 23 × 100 =
2,300 cm
✔ Answer: 2,300 cm
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | 370 mm |
| 2 | 9.27 m |
| 3 | 59,800 cm |
| 4 | 2,000 cm |
| 5 | 91,400 cm |
| 6 | 5,800 cm |
| 7 | 86,300 cm |
| 8 | 626,000 mm |
| 9 | 3,800 cm |
|10 | 7.71 m |
|11 | 18,000 mm |
|12 | 4,420 mm |
|13 | 34,000 mm |
|14 | 646,000 mm |
|15 | 70,400 cm |
|16 | 58,400 cm |
|17 | 8,300 mm |
|18 | 2,300 cm |
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🧠 Tips for Remembering:
-
To go from larger to smaller unit (e.g., m → cm): multiply
-
To go from smaller to larger unit (e.g., cm → m): divide
- Use powers of 10:
- m → cm: ×100
- m → mm: ×1000
- cm → mm: ×10
Let me know if you'd like this as a printable PDF or need explanations in another format!
Parent Tip: Review the logic above to help your child master the concept of physics conversions worksheet.
