Linear Measurements Metric worksheet with conversion and comparison exercises.

Let's solve the problems in the image step by step.

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Section 1: Convert the following measurements

We'll use metric conversion rules:

- 1 km = 1000 m
- 1 m = 100 cm
- 1 m = 10 dm
- 1 m = 1000 mm
- 1 dam (decameter) = 10 m
- 1 hm (hectometer) = 100 m
- 1 km = 1000 m, etc.

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#### 1) 6 dm = ___ mm

- 1 dm = 10 cm = 100 mm
- So, 6 dm = 6 × 100 = 600 mm

✔ Answer: 600 mm

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#### 2) 7.2 km = ___ m

- 1 km = 1000 m
- 7.2 km = 7.2 × 1000 = 7200 m

✔ Answer: 7200 m

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#### 3) 4.2 m = ___ cm

- 1 m = 100 cm
- 4.2 m = 4.2 × 100 = 420 cm

✔ Answer: 420 cm

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#### 4) 2.8 km = ___ m

- 2.8 × 1000 = 2800 m

✔ Answer: 2800 m

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#### 5) 898 km = ___ m

- 898 × 1000 = 898,000 m

✔ Answer: 898,000 m

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#### 6) 9325 cm = ___ m

- 1 m = 100 cm → divide by 100
- 9325 ÷ 100 = 93.25 m

✔ Answer: 93.25 m

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#### 7) .51 km = ___ dm

- First convert km to m: 0.51 km = 0.51 × 1000 = 510 m
- Then m to dm: 1 m = 10 dm → 510 × 10 = 5100 dm

✔ Answer: 5100 dm

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#### 8) 175 mm = ___ dam

- 1 mm = 0.001 m
- 175 mm = 0.175 m
- 1 dam = 10 m → so 0.175 ÷ 10 = 0.0175 dam

✔ Answer: 0.0175 dam

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#### 9) 916 km = ___ m

- 916 × 1000 = 916,000 m

✔ Answer: 916,000 m

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#### 10) 830 mm = ___ dam

- 830 mm = 0.83 m
- 0.83 ÷ 10 = 0.083 dam

✔ Answer: 0.083 dam

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#### 11) 36 hm = ___ cm

- 1 hm = 100 m → 36 hm = 36 × 100 = 3600 m
- 1 m = 100 cm → 3600 × 100 = 360,000 cm

✔ Answer: 360,000 cm

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#### 12) 2.1 km = ___ cm

- 2.1 km = 2.1 × 1000 = 2100 m
- 2100 × 100 = 210,000 cm

✔ Answer: 210,000 cm

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#### 13) 916.5 km = ___ m

- 916.5 × 1000 = 916,500 m

✔ Answer: 916,500 m

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#### 14) 188 cm = ___ m

- 188 ÷ 100 = 1.88 m

✔ Answer: 1.88 m

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#### 15) 345 cm = ___ km

- 345 cm = 3.45 m
- 3.45 ÷ 1000 = 0.00345 km

✔ Answer: 0.00345 km

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#### 16) 8.1 dam = ___ cm

- 1 dam = 10 m → 8.1 dam = 81 m
- 81 × 100 = 8100 cm

✔ Answer: 8100 cm

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#### 17) 8921.5 m = ___ km

- Divide by 1000: 8921.5 ÷ 1000 = 8.9215 km

✔ Answer: 8.9215 km

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#### 18) 35.8 m = ___ mm

- 1 m = 1000 mm → 35.8 × 1000 = 35,800 mm

✔ Answer: 35,800 mm

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✔ Section 1 Answers Summary:

| No. | Answer |
|-----|--------|
| 1 | 600 mm |
| 2 | 7200 m |
| 3 | 420 cm |
| 4 | 2800 m |
| 5 | 898,000 m |
| 6 | 93.25 m |
| 7 | 5100 dm |
| 8 | 0.0175 dam |
| 9 | 916,000 m |
| 10 | 0.083 dam |
| 11 | 360,000 cm |
| 12 | 210,000 cm |
| 13 | 916,500 m |
| 14 | 1.88 m |
| 15 | 0.00345 km |
| 16 | 8100 cm |
| 17 | 8.9215 km |
| 18 | 35,800 mm |

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Section 2: Compare using >, <, or =

We’ll convert both sides to the same unit and compare.

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#### 1) 9900 cm ___ 99 m

- 99 m = 99 × 100 = 9900 cm
- So, 9900 cm = 9900 cm → =

✔ Answer: =

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#### 2) 4000 mm ___ 4 dm

- 4000 mm = 4000 ÷ 1000 = 4 m
- 4 dm = 4 × 0.1 = 0.4 m
- 4 m > 0.4 m → >

✔ Answer: >

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#### 3) 5 dam ___ 4133 dm

- 5 dam = 5 × 10 = 50 m
- 4133 dm = 4133 ÷ 10 = 413.3 m
- 50 m < 413.3 m → <

✔ Answer: <

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#### 4) 2.4 km ___ 2400 m

- 2.4 km = 2.4 × 1000 = 2400 m → =

✔ Answer: =

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#### 5) 3.51 m ___ 351 cm

- 3.51 m = 3.51 × 100 = 351 cm → =

✔ Answer: =

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#### 6) 34100 cm ___ 3410 cm

- Clearly, 34100 > 3410 → >

✔ Answer: >

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#### 7) 2341 dam ___ 2.4 km

- 2341 dam = 2341 × 10 = 23,410 m
- 2.4 km = 2.4 × 1000 = 2400 m
- 23,410 > 2400 → >

✔ Answer: >

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#### 8) 72 hm ___ 7200 m

- 72 hm = 72 × 100 = 7200 m → =

✔ Answer: =

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#### 9) 1.2 km ___ 1200 m

- 1.2 km = 1.2 × 1000 = 1200 m → =

✔ Answer: =

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✔ Section 2 Answers Summary:

| No. | Answer |
|-----|--------|
| 1 | = |
| 2 | > |
| 3 | < |
| 4 | = |
| 5 | = |
| 6 | > |
| 7 | > |
| 8 | = |
| 9 | = |

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✔ Final Answer Sheet

Section 1: Conversions
1. 600 mm
2. 7200 m
3. 420 cm
4. 2800 m
5. 898,000 m
6. 93.25 m
7. 5100 dm
8. 0.0175 dam
9. 916,000 m
10. 0.083 dam
11. 360,000 cm
12. 210,000 cm
13. 916,500 m
14. 1.88 m
15. 0.00345 km
16. 8100 cm
17. 8.9215 km
18. 35,800 mm

Section 2: Comparisons
1. =
2. >
3. <
4. =
5. =
6. >
7. >
8. =
9. =

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