Metric Unit Conversion Worksheet with practice problems for distance, volume, and weight conversions.

Let’s solve each section step by step. We’ll use the metric system rules:

Distance (length):
- 1 meter (m) = 100 centimeters (cm) → so to convert cm to m, divide by 100
- 1 meter (m) = 10 decimeters (dm) → so to convert dm to m, divide by 10
- 1 centimeter (cm) = 10 millimeters (mm) → so to convert cm to mm, multiply by 10

Volume:
- 1 liter (l) = 10 deciliters (dl) → so to convert l to dl, multiply by 10; dl to l, divide by 10
- 1 deciliter (dl) = 10 centiliters (cl) → so to convert dl to cl, multiply by 10

Mixed Conversions:
We’ll handle each one using the right rule.

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Convert Distance Measurements

First column (cm to m): divide by 100

- 100 cm = 1 m ✔ (given)
- 10 cm = 10 ÷ 100 = 0.1 m
- 86 cm = 86 ÷ 100 = 0.86 m
- 62 cm = 62 ÷ 100 = 0.62 m
- 86 cm = 86 ÷ 100 = 0.86 m
- 31 cm = 31 ÷ 100 = 0.31 m
- 61 cm = 61 ÷ 100 = 0.61 m

Second column (dm to m): divide by 10

- 63 dm = 6.3 m ✔ (given)
- 19 dm = 19 ÷ 10 = 1.9 m
- 22 dm = 22 ÷ 10 = 2.2 m
- 90 dm = 90 ÷ 10 = 9.0 m
- 74 dm = 74 ÷ 10 = 7.4 m
- 89 dm = 89 ÷ 10 = 8.9 m
- 59 dm = 59 ÷ 10 = 5.9 m

Third column (cm to mm): multiply by 10

- 5 cm = 50 mm ✔ (given)
- 71 cm = 71 × 10 = 710 mm
- 65 cm = 65 × 10 = 650 mm
- 81 cm = 81 × 10 = 810 mm
- 64 cm = 64 × 10 = 640 mm
- 21 cm = 21 × 10 = 210 mm
- 10 cm = 10 × 10 = 100 mm

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Convert Volume Measurements

First column (l to dl): multiply by 10

- 1 l = 10 dl ✔ (given)
- 84 l = 84 × 10 = 840 dl
- 13 l = 13 × 10 = 130 dl
- 84 l = 84 × 10 = 840 dl
- 49 l = 49 × 10 = 490 dl
- 41 l = 41 × 10 = 410 dl
- 26 l = 26 × 10 = 260 dl

Second column (dl to l): divide by 10

- 26 dl = 2.6 l ✔ (given)
- 42 dl = 42 ÷ 10 = 4.2 l
- 31 dl = 31 ÷ 10 = 3.1 l
- 98 dl = 98 ÷ 10 = 9.8 l
- 6 dl = 6 ÷ 10 = 0.6 l
- 65 dl = 65 ÷ 10 = 6.5 l
- 65 dl = 65 ÷ 10 = 6.5 l

Third column (dl to cl): multiply by 10

- 61 dl = 610 cl ✔ (given)
- 32 dl = 32 × 10 = 320 cl
- 84 dl = 84 × 10 = 840 cl
- 81 dl = 81 × 10 = 810 cl
- 42 dl = 42 × 10 = 420 cl
- 16 dl = 16 × 10 = 160 cl
- 88 dl = 88 × 10 = 880 cl

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Convert (Mixed)

First column:

- 1 l = 100 cl ✔ (given) — because 1 l = 10 dl, and 1 dl = 10 cl → 10×10=100
- 54 kg = ? g → 1 kg = 1000 g → 54 × 1000 = 54,000 g
- 15 mm = ? m → 1 m = 1000 mm → 15 ÷ 1000 = 0.015 m
- 18 cl = ? dl → 1 dl = 10 cl → 18 ÷ 10 = 1.8 dl
- 16 dl = ? l → 16 ÷ 10 = 1.6 l
- 79 g = ? kg → 1 kg = 1000 g → 79 ÷ 1000 = 0.079 kg
- 24 hg = ? kg → 1 hg = 0.1 kg → 24 × 0.1 = 2.4 kg
*(Note: “hg” is hectogram. 10 hg = 1 kg → so divide by 10)*

Wait — let me double-check that last one:
Actually, 1 kilogram = 10 hectograms → so to convert hg to kg, divide by 10.
→ 24 hg = 24 ÷ 10 = 2.4 kg ✔

Second column:

- 95 cm = ? m → 95 ÷ 100 = 0.95 m
- 27 dl = ? l → 27 ÷ 10 = 2.7 l
- 11 kg = ? hg → 1 kg = 10 hg → 11 × 10 = 110 hg
- 28 mm = ? m → 28 ÷ 1000 = 0.028 m
- 4 g = ? hg → 1 hg = 100 g → 4 ÷ 100 = 0.04 hg
- 41 cm = ? m → 41 ÷ 100 = 0.41 m
- 50 cl = ? l → 1 l = 100 cl → 50 ÷ 100 = 0.5 l

Third column:

- 93 kg = ? hg → 93 × 10 = 930 hg
- 27 l = ? cl → 1 l = 100 cl → 27 × 100 = 2700 cl
- 34 kg = ? g → 34 × 1000 = 34,000 g
- 100 mm = ? m → 100 ÷ 1000 = 0.1 m
- 72 cl = ? l → 72 ÷ 100 = 0.72 l
- 100 g = ? kg → 100 ÷ 1000 = 0.1 kg
- 77 cm = ? mm → 77 × 10 = 770 mm

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Now let’s compile all answers in order as they appear on the worksheet.

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Final Answer:

Convert Distance Measurements

Left column (cm to m):
100 cm = 1 m
10 cm = 0.1 m
86 cm = 0.86 m
62 cm = 0.62 m
86 cm = 0.86 m
31 cm = 0.31 m
61 cm = 0.61 m

Middle column (dm to m):
63 dm = 6.3 m
19 dm = 1.9 m
22 dm = 2.2 m
90 dm = 9.0 m
74 dm = 7.4 m
89 dm = 8.9 m
59 dm = 5.9 m

Right column (cm to mm):
5 cm = 50 mm
71 cm = 710 mm
65 cm = 650 mm
81 cm = 810 mm
64 cm = 640 mm
21 cm = 210 mm
10 cm = 100 mm

Convert Volume Measurements

Left column (l to dl):
1 l = 10 dl
84 l = 840 dl
13 l = 130 dl
84 l = 840 dl
49 l = 490 dl
41 l = 410 dl
26 l = 260 dl

Middle column (dl to l):
26 dl = 2.6 l
42 dl = 4.2 l
31 dl = 3.1 l
98 dl = 9.8 l
6 dl = 0.6 l
65 dl = 6.5 l
65 dl = 6.5 l

Right column (dl to cl):
61 dl = 610 cl
32 dl = 320 cl
84 dl = 840 cl
81 dl = 810 cl
42 dl = 420 cl
16 dl = 160 cl
88 dl = 880 cl

Convert (Mixed)

Left column:
1 l = 100 cl
54 kg = 54000 g
15 mm = 0.015 m
18 cl = 1.8 dl
16 dl = 1.6 l
79 g = 0.079 kg
24 hg = 2.4 kg

Middle column:
95 cm = 0.95 m
27 dl = 2.7 l
11 kg = 110 hg
28 mm = 0.028 m
4 g = 0.04 hg
41 cm = 0.41 m
50 cl = 0.5 l

Right column:
93 kg = 930 hg
27 l = 2700 cl
34 kg = 34000 g
100 mm = 0.1 m
72 cl = 0.72 l
100 g = 0.1 kg
77 cm = 770 mm