Printable worksheet for practicing metric unit conversions, featuring problems to convert between units like grams, kilograms, meters, and liters.

Let's solve each problem on the Measuring Units Worksheet step by step. We'll convert the given units using metric system prefixes and their relationships.

---

🔹 Metric Prefixes (for reference):

- kilo (k) = 1,000
- hecto (h) = 100
- deca (da) = 10
- base unit (g, m, L)
- deci (d) = 0.1
- centi (c) = 0.01
- milli (m) = 0.001

---

✔ Solutions:

#### 1 a. 32 dg = ________ g
- decigram (dg) → gram (g): divide by 10
$ 32 \div 10 = 3.2 $
- Answer: 3.2 g

#### 1 b. 8 g = ________ cg
- gram (g) → centigram (cg): multiply by 100
$ 8 \times 100 = 800 $
- Answer: 800 cg

---

#### 2 a. 59 g = ________ dag
- gram (g) → dekagram (dag): divide by 10
$ 59 \div 10 = 5.9 $
- Answer: 5.9 dag

#### 2 b. 1 hg = ________ dg
- hectogram (hg) → decigram (dg):
1 hg = 100 g → 100 g = 1,000 dg (since 1 g = 10 dg)
$ 100 \times 10 = 1,000 $
- Answer: 1,000 dg

---

#### 3 a. 12 hm = ________ km
- hectometer (hm) → kilometer (km): divide by 10
$ 12 \div 10 = 1.2 $
- Answer: 1.2 km

#### 3 b. 9 km = ________ dam
- kilometer (km) → decameter (dam):
1 km = 1,000 m → 1 dam = 10 m → so 1 km = 100 dam
$ 9 \times 100 = 900 $
- Answer: 900 dam

---

#### 4 a. 7.3 kg = ________ dag
- kilogram (kg) → dekagram (dag):
1 kg = 1,000 g → 1 dag = 10 g → so 1 kg = 100 dag
$ 7.3 \times 100 = 730 $
- Answer: 730 dag

#### 4 b. 1,600 mg = ________ g
- milligram (mg) → gram (g): divide by 1,000
$ 1,600 \div 1,000 = 1.6 $
- Answer: 1.6 g

---

#### 5 a. 5 dm = ________ mm
- decimeter (dm) → millimeter (mm):
1 dm = 10 cm = 100 mm → so 1 dm = 100 mm
$ 5 \times 100 = 500 $
- Answer: 500 mm

#### 5 b. 480 m = ________ hm
- meter (m) → hectometer (hm): divide by 100
$ 480 \div 100 = 4.8 $
- Answer: 4.8 hm

---

#### 6 a. 9.8 cm = ________ mm
- centimeter (cm) → millimeter (mm): multiply by 10
$ 9.8 \times 10 = 98 $
- Answer: 98 mm

#### 6 b. 7 hl = ________ dl
- hectoliter (hl) → deciliter (dl):
1 hl = 100 L → 1 L = 10 dl → so 1 hl = 1,000 dl
$ 7 \times 1,000 = 7,000 $
- Answer: 7,000 dl

---

#### 7 a. 10 cg = ________ dg
- centigram (cg) → decigram (dg): divide by 10
$ 10 \div 10 = 1 $
- Answer: 1 dg

#### 7 b. 9 dam = ________ m
- decameter (dam) → meter (m): multiply by 10
$ 9 \times 10 = 90 $
- Answer: 90 m

---

#### 8 a. 6 hl = ________ L
- hectoliter (hl) → liter (L): multiply by 100
$ 6 \times 100 = 600 $
- Answer: 600 L

#### 8 b. 5.4 m = ________ cm
- meter (m) → centimeter (cm): multiply by 100
$ 5.4 \times 100 = 540 $
- Answer: 540 cm

---

#### 9 a. 7.6 kl = ________ hl
- kiloliter (kl) → hectoliter (hl):
1 kl = 1,000 L → 1 hl = 100 L → so 1 kl = 10 hl
$ 7.6 \times 10 = 76 $
- Answer: 76 hl

#### 9 b. 4.9 dag = ________ dg
- dekagram (dag) → decigram (dg):
1 dag = 10 g → 1 dg = 0.1 g → so 1 dag = 100 dg
$ 4.9 \times 100 = 490 $
- Answer: 490 dg

---

#### 10 a. 10 hl = ________ dl
- hectoliter (hl) → deciliter (dl):
1 hl = 100 L → 1 L = 10 dl → so 1 hl = 1,000 dl
$ 10 \times 1,000 = 10,000 $
- Answer: 10,000 dl

#### 10 b. 1,000 cm = ________ dam
- centimeter (cm) → decameter (dam):
1 cm = 0.01 m → 1,000 cm = 10 m
1 dam = 10 m → so 10 m = 1 dam
- Answer: 1 dam

---

✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1a | 3.2 g |
| 1b | 800 cg |
| 2a | 5.9 dag |
| 2b | 1,000 dg |
| 3a | 1.2 km |
| 3b | 900 dam |
| 4a | 730 dag |
| 4b | 1.6 g |
| 5a | 500 mm |
| 5b | 4.8 hm |
| 6a | 98 mm |
| 6b | 7,000 dl |
| 7a | 1 dg |
| 7b | 90 m |
| 8a | 600 L |
| 8b | 540 cm |
| 9a | 76 hl |
| 9b | 490 dg |
| 10a | 10,000 dl |
| 10b | 1 dam |

---

Let me know if you'd like this in a printable format or need explanations for any specific conversion!