Metric conversion - 10 pages - Planetpsyd - Free Printable

You’ve uploaded a Metric Unit Conversion Worksheet with three sections:

1. Convert Distance Measurements
2. Convert Volume Measurements
3. Convert (Mixed Units: Mass, Length, Volume)

I’ll solve all the blank problems and explain the logic behind each conversion.

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## 📏 SECTION 1: Convert Distance Measurements

Key Conversions:

- 1 m = 100 cm
- 1 m = 10 dm → so 1 dm = 0.1 m
- 1 cm = 10 mm

✔ Solved Problems:

#### Column 1: cm → m
- 100 cm = 1 m (given)
- 10 cm = 0.1 m → 10 ÷ 100 = 0.1
- 86 cm = 0.86 m → 86 ÷ 100 = 0.86
- 62 cm = 0.62 m
- 86 cm = 0.86 m (again)
- 31 cm = 0.31 m
- 61 cm = 0.61 m

#### Column 2: dm → m
- 63 dm = 6.3 m (given) → 63 × 0.1 = 6.3
- 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

#### Column 3: cm → mm
- 5 cm = 50 mm (given) → 5 × 10 = 50
- 71 cm = 710 mm
- 65 cm = 650 mm
- 81 cm = 810 mm
- 64 cm = 640 mm
- 21 cm = 210 mm
- 10 cm = 100 mm

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## 🧃 SECTION 2: Convert Volume Measurements

Key Conversions:

- 1 liter (l) = 10 deciliters (dl)
- 1 dl = 0.1 l
- 1 dl = 10 centiliters (cl) → so 1 l = 100 cl

✔ Solved Problems:

#### Column 1: l → dl
- 1 l = 10 dl (given)
- 84 l = 840 dl → 84 × 10 = 840
- 13 l = 130 dl
- 84 l = 840 dl (again)
- 49 l = 490 dl
- 41 l = 410 dl
- 26 l = 260 dl

#### Column 2: dl → l
- 26 dl = 2.6 l (given) → 26 ÷ 10 = 2.6
- 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 (again)

#### Column 3: dl → cl
- 61 dl = 610 cl (given) → 61 × 10 = 610
- 32 dl = 320 cl
- 84 dl = 840 cl
- 81 dl = 810 cl
- 42 dl = 420 cl
- 16 dl = 160 cl
- 88 dl = 880 cl

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## ⚖️ SECTION 3: Convert (Mixed Units)

This section mixes mass, length, and volume. We need to use:

Key Conversions:

- Mass:
- 1 kg = 1000 g
- 1 hg = 100 g → so 1 kg = 10 hg
- Length:
- 1 m = 100 cm
- 1 m = 1000 mm → so 1 cm = 10 mm
- Volume:
- 1 l = 10 dl
- 1 l = 100 cl
- 1 dl = 10 cl

✔ Solved Problems:

#### Row 1:
- 1 l = 100 cl (given)
- 95 cm = 0.95 m → 95 ÷ 100 = 0.95
- 93 kg = 930 hg → 93 × 10 = 930 (since 1 kg = 10 hg)

#### Row 2:
- 54 kg = 54,000 g → 54 × 1000 = 54,000
- 27 dl = 2.7 l → 27 ÷ 10 = 2.7
- 27 l = 2700 cl → 27 × 100 = 2700

#### Row 3:
- 15 mm = 0.015 m → 15 ÷ 1000 = 0.015
- 11 kg = 110 hg → 11 × 10 = 110
- 34 kg = 34,000 g

#### Row 4:
- 18 cl = 1.8 dl → 18 ÷ 10 = 1.8
- 28 mm = 0.028 m
- 100 mm = 0.1 m

#### Row 5:
- 16 dl = 1.6 l
- 4 g = 0.04 hg → 4 ÷ 100 = 0.04
- 72 cl = 0.72 l → 72 ÷ 100 = 0.72

#### Row 6:
- 79 g = 0.079 kg → 79 ÷ 1000 = 0.079
- 41 cm = 0.41 m
- 100 g = 0.1 kg

#### Row 7:
- 24 hg = 2.4 kg → 24 ÷ 10 = 2.4
- 50 cl = 0.5 l
- 77 cm = 770 mm → 77 × 10 = 770

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## 🎯 Final Answer Summary (All Blanks Filled):

Section 1: Distance

```
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

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

71 cm = 710 mm
65 cm = 650 mm
81 cm = 810 mm
64 cm = 640 mm
21 cm = 210 mm
10 cm = 100 mm
```

Section 2: Volume

```
84 l = 840 dl
13 l = 130 dl
84 l = 840 dl
49 l = 490 dl
41 l = 410 dl
26 l = 260 dl

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

32 dl = 320 cl
84 dl = 840 cl
81 dl = 810 cl
42 dl = 420 cl
16 dl = 160 cl
88 dl = 880 cl
```

Section 3: Mixed Units

```
95 cm = 0.95 m
93 kg = 930 hg

54 kg = 54000 g
27 dl = 2.7 l
27 l = 2700 cl

15 mm = 0.015 m
11 kg = 110 hg
34 kg = 34000 g

18 cl = 1.8 dl
28 mm = 0.028 m
100 mm = 0.1 m

16 dl = 1.6 l
4 g = 0.04 hg
72 cl = 0.72 l

79 g = 0.079 kg
41 cm = 0.41 m
100 g = 0.1 kg

24 hg = 2.4 kg
50 cl = 0.5 l
77 cm = 770 mm
```

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