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

Let’s solve each problem step by step. We’re working with metric linear measurements, so we need to remember the conversion factors:

- 1 km = 1000 m
- 1 m = 10 dm = 100 cm = 1000 mm
- 1 dm = 10 cm = 100 mm
- 1 cm = 10 mm

Also, for comparisons, we’ll convert both numbers to the same unit before comparing.

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Part 1: Convert the following measurements

1) .6 dm = ___ mm
→ 1 dm = 100 mm → .6 × 100 = 60 mm

2) 7.2 km = ___ m
→ 1 km = 1000 m → 7.2 × 1000 = 7200 m

3) 4.2 m = ___ cm
→ 1 m = 100 cm → 4.2 × 100 = 420 cm

4) 2.8 km = ___ m
→ 2.8 × 1000 = 2800 m

5) 898 km = ___ m
→ 898 × 1000 = 898,000 m

6) 9325 cm = ___ m
→ 100 cm = 1 m → 9325 ÷ 100 = 93.25 m

7) .51 km = ___ dm
→ First, km to m: .51 × 1000 = 510 m
→ Then m to dm: 510 × 10 = 5100 dm

8) 175 mm = ___ dam
→ This is tricky! Let’s go step by step:
mm → cm → dm → m → dam
175 mm = 17.5 cm (÷10)
17.5 cm = 1.75 dm (÷10)
1.75 dm = 0.175 m (÷10)
0.175 m = 0.0175 dam (÷10) → because 1 dam = 10 m
So, 0.0175 dam

Wait — let me double-check that.
Actually, 1 dam = 10 meters → so to go from mm to dam:
175 mm = 0.175 m → then 0.175 ÷ 10 = 0.0175 dam ✔

9) 916 km = ___ m
→ 916 × 1000 = 916,000 m

10) 830 mm = ___ dam
→ 830 mm = 0.83 m → 0.83 ÷ 10 = 0.083 dam

11) 36 hm = ___ cm
→ 1 hm = 100 m → 36 × 100 = 3600 m
→ 3600 m = 3600 × 100 = 360,000 cm

12) 2.1 km = ___ cm
→ 2.1 km = 2100 m → 2100 × 100 = 210,000 cm

13) 916.5 km = ___ m
→ 916.5 × 1000 = 916,500 m

14) 188 cm = ___ m
→ 188 ÷ 100 = 1.88 m

15) 345 dm = ___ km
→ 345 dm = 34.5 m → 34.5 ÷ 1000 = 0.0345 km

16) 8.1 dam = ___ cm
→ 1 dam = 10 m → 8.1 × 10 = 81 m
→ 81 m = 81 × 100 = 8100 cm

17) 8921.5 m = ___ cm
→ 8921.5 × 100 = 892,150 cm

18) 35.8 m = ___ mm
→ 35.8 × 1000 = 35,800 mm

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Part 2: Compare using >, <, or =

We must convert both sides to the same unit.

1) 9900 cm ___ 99 m
→ 99 m = 99 × 100 = 9900 cm → =

2) 4000 mm ___ 4 dm
→ 4 dm = 40 cm = 400 mm → 4000 mm > 400 mm → >

3) 5 dam ___ 4133 dm
→ 5 dam = 5 × 10 = 50 m = 50 × 10 = 500 dm
→ 500 dm vs 4133 dm → 500 < 4133 → <

4) 2.4 km ___ 2400 m
→ 2.4 km = 2400 m → =

5) 3.51 m ___ 351 km
→ 351 km = 351,000 m → 3.51 < 351,000 → <

6) 34.1 m ___ 34100 cm
→ 34.1 m = 34.1 × 100 = 3410 cm → 3410 < 34100 → <

Wait — hold on! 34.1 m = 3410 cm? No!

Mistake here:
1 m = 100 cm → 34.1 m = 34.1 × 100 = 3410 cm? That can’t be right compared to 34100 cm.

Wait — 34.1 × 100 = 3410? Actually, yes:
34.1 × 100 = 3410 cm
But 34100 cm is much bigger → so 3410 < 34100 → <

But wait — maybe I misread the number? The problem says “34100 cm” — that’s 341 meters! Because 34100 ÷ 100 = 341 m. And 34.1 m is less than 341 m → still <

7) 2341 dam ___ 2.4 km
→ 2341 dam = 2341 × 10 = 23,410 m
→ 2.4 km = 2400 m
→ 23,410 > 2400 → >

8) 72 hm ___ 7200 m
→ 72 hm = 72 × 100 = 7200 m → =

9) 1.2 km ___ 1200 dm
→ 1.2 km = 1200 m
→ 1200 dm = 120 m (since 10 dm = 1 m)
→ 1200 m > 120 m → >

Wait — let me check again:
1.2 km = 1200 m
1200 dm = ? → 1200 ÷ 10 = 120 m → Yes, 1200 m > 120 m → >

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Now let’s compile all answers carefully.

Final Answer:

Part 1:
1) 60
2) 7200
3) 420
4) 2800
5) 898000
6) 93.25
7) 5100
8) 0.0175
9) 916000
10) 0.083
11) 360000
12) 210000
13) 916500
14) 1.88
15) 0.0345
16) 8100
17) 892150
18) 35800

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