Linear Measurements Metric Worksheet - Practice converting and comparing metric length units.

You’ve uploaded a worksheet titled “LINEAR MEASUREMENTS — METRIC”, which has two sections:

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## ✔ SECTION 1: Convert the following measurements.

This section tests your understanding of metric unit conversions for length. The metric system is based on powers of 10, so conversions involve multiplying or dividing by 10, 100, 1000, etc.

Key Metric Prefixes (for length):

- kilo (k) = 1000 → 1 km = 1000 m
- hecto (h) = 100 → 1 hm = 100 m
- deca (da) = 10 → 1 dam = 10 m
- base unit = meter (m)
- deci (d) = 0.1 → 1 dm = 0.1 m = 10 cm
- centi (c) = 0.01 → 1 cm = 0.01 m = 10 mm
- milli (m) = 0.001 → 1 mm = 0.001 m

Let’s solve each conversion step-by-step.

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1) 6 dm = ___ mm

→ 1 dm = 100 mm (since 1 dm = 10 cm, and 1 cm = 10 mm → 10 × 10 = 100 mm)
→ 6 dm = 6 × 100 = 600 mm

✔ Answer: 600 mm

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2) 7.2 km = ___ m

→ 1 km = 1000 m
→ 7.2 × 1000 = 7200 m

✔ Answer: 7200 m

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3) 4.2 m = ___ cm

→ 1 m = 100 cm
→ 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: 898000 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 × 1000 = 510 m
→ Then convert m to dm: 1 m = 10 dm → 510 × 10 = 5100 dm

✔ Answer: 5100 dm

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8) 175 mm = ___ dam

→ 1 dam = 10 m = 10,000 mm (since 1 m = 1000 mm → 10 × 1000 = 10,000 mm)
→ So, 175 mm ÷ 10,000 = 0.0175 dam

✔ Answer: 0.0175 dam

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9) 916 mm = ___ m

→ 1 m = 1000 mm → 916 ÷ 1000 = 0.916 m

✔ Answer: 0.916 m

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10) 830 mm = ___ dam

→ 1 dam = 10,000 mm → 830 ÷ 10,000 = 0.083 dam

✔ Answer: 0.083 dam

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11) 36 hm = ___ cm

→ 1 hm = 100 m = 100 × 100 cm = 10,000 cm
→ 36 × 10,000 = 360,000 cm

✔ Answer: 360000 cm

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12) 2.1 km = ___ cm

→ 1 km = 1000 m = 1000 × 100 cm = 100,000 cm
→ 2.1 × 100,000 = 210,000 cm

✔ Answer: 210000 cm

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13) 916.5 km = ___ m

→ 916.5 × 1000 = 916,500 m

✔ Answer: 916500 m

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14) 188 cm = ___ m

→ 188 ÷ 100 = 1.88 m

✔ Answer: 1.88 m

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15) 345 dm = ___ km

→ 1 dm = 0.1 m → 345 dm = 34.5 m
→ 1 km = 1000 m → 34.5 ÷ 1000 = 0.0345 km

✔ Answer: 0.0345 km

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16) 8.1 dam = ___ cm

→ 1 dam = 10 m = 10 × 100 cm = 1000 cm
→ 8.1 × 1000 = 8100 cm

✔ Answer: 8100 cm

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17) 8921.5 m = ___ km

→ 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: 35800 mm

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## ✔ SECTION 2: Compare the following measurements using >, <, or =.

To compare, convert both sides to the same unit (usually meters or centimeters), then compare numerically.

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1) 9900 cm ___ 99 m

→ Convert 99 m to cm: 99 × 100 = 9900 cm
→ So, 9900 cm = 9900 cm → =

✔ Answer: =

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2) 4000 mm ___ 4 dm

→ Convert 4 dm to mm: 1 dm = 100 mm → 4 × 100 = 400 mm
→ 4000 mm vs 400 mm → 4000 > 400 → >

✔ Answer: >

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3) 5 dam ___ 4133 dm

→ Convert 5 dam to dm: 1 dam = 100 dm → 5 × 100 = 500 dm
→ 500 dm vs 4133 dm → 500 < 4133 → <

✔ Answer: <

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4) 2.4 km ___ 2400 m

→ Convert 2.4 km to m: 2.4 × 1000 = 2400 m
→ 2400 m = 2400 m → =

✔ Answer: =

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5) 3.51 m ___ 351 hm

→ Convert 351 hm to m: 1 hm = 100 m → 351 × 100 = 35,100 m
→ 3.51 m vs 35,100 m → 3.51 < 35,100 → <

✔ Answer: <

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6) 34.1 cm ___ 34100 cm

→ 34.1 cm vs 34,100 cm → clearly <

✔ Answer: <

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7) 2341 dam ___ 2.4 km

→ Convert 2341 dam to km: 1 dam = 10 m → 2341 × 10 = 23,410 m
→ 23,410 m ÷ 1000 = 23.41 km
→ 23.41 km vs 2.4 km → >

✔ Answer: >

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8) 72 hm ___ 7200 m

→ Convert 72 hm to m: 72 × 100 = 7200 m
→ 7200 m = 7200 m → =

✔ Answer: =

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9) 1.2 km ___ 1200 dm

→ Convert 1.2 km to dm: 1.2 km = 1200 m → 1200 m × 10 = 12,000 dm
→ 12,000 dm vs 1200 dm → >

✔ Answer: >

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## 🎯 Final Answers Summary:

Section 1:

1) 600 mm
2) 7200 m
3) 420 cm
4) 2800 m
5) 898000 m
6) 93.25 m
7) 5100 dm
8) 0.0175 dam
9) 0.916 m
10) 0.083 dam
11) 360000 cm
12) 210000 cm
13) 916500 m
14) 1.88 m
15) 0.0345 km
16) 8100 cm
17) 8.9215 km
18) 35800 mm

Section 2:

1) =
2) >
3) <
4) =
5) <
6) <
7) >
8) =
9) >

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✔ All problems solved with clear explanations! Let me know if you’d like a printable version or flashcards for metric conversions.