Converting Mass Units | Remei - Free Printable

Let's solve each of these mass unit conversion problems step by step.

We’ll use the metric system prefixes and their relationships:

Metric Prefixes for Mass (based on grams):

| Prefix | Abbreviation | Value in grams |
|--------|---------------|----------------|
| kilo | kg | 1,000 g |
| hecto | Hg | 100 g |
| deca | Dag | 10 g |
| gram | g | 1 g |
| deci | dg | 0.1 g |
| centi | cg | 0.01 g |
| milli | mg | 0.001 g |

---

Now let’s go through each problem one by one.

---

a) 10 Dag = _____ Hg

- 1 Dag = 10 g → 10 Dag = 100 g
- 1 Hg = 100 g → So 100 g = 1 Hg
✔ Answer: 1 Hg

---

b) 580 cg = _____ g

- 1 cg = 0.01 g → 580 cg = 580 × 0.01 = 5.8 g
✔ Answer: 5.8 g

---

c) 1 g = _____ mg

- 1 g = 1,000 mg
✔ Answer: 1,000 mg

---

d) 5 g = _____ cg

- 1 g = 100 cg → 5 g = 5 × 100 = 500 cg
✔ Answer: 500 cg

---

e) 6,000 mg = _____ g

- 1,000 mg = 1 g → 6,000 mg = 6 g
✔ Answer: 6 g

---

f) 5,000 cg = _____ Dag

- 1 cg = 0.01 g → 5,000 cg = 5,000 × 0.01 = 50 g
- 1 Dag = 10 g → 50 g = 5 Dag
✔ Answer: 5 Dag

---

g) 3,000 dg = _____ hg

- 1 dg = 0.1 g → 3,000 dg = 3,000 × 0.1 = 300 g
- 1 hg = 100 g → 300 g = 3 hg
✔ Answer: 3 hg

---

h) 530 dg = _____ Dag

- 1 dg = 0.1 g → 530 dg = 53 g
- 1 Dag = 10 g → 53 g = 5.3 Dag
✔ Answer: 5.3 Dag

---

i) 60,000 cg = _____ Hg

- 1 cg = 0.01 g → 60,000 cg = 60,000 × 0.01 = 600 g
- 1 Hg = 100 g → 600 g = 6 Hg
✔ Answer: 6 Hg

---

j) 6.9 Hg = _____ Dag

- 1 Hg = 100 g → 6.9 Hg = 690 g
- 1 Dag = 10 g → 690 g = 69 Dag
✔ Answer: 69 Dag

---

k) 60 mg = _____ cg

- 1 mg = 0.1 cg → 60 mg = 60 × 0.1 = 6 cg
OR:
- 1 cg = 10 mg → 60 mg = 60 ÷ 10 = 6 cg
✔ Answer: 6 cg

---

l) 4 Dag = _____ dg

- 1 Dag = 10 g → 4 Dag = 40 g
- 1 g = 10 dg → 40 g = 400 dg
✔ Answer: 400 dg

---

m) 9.7 hg = _____ g

- 1 hg = 100 g → 9.7 hg = 9.7 × 100 = 970 g
✔ Answer: 970 g

---

n) 560 g = _____ Hg

- 1 Hg = 100 g → 560 g = 560 ÷ 100 = 5.6 Hg
✔ Answer: 5.6 Hg

---

o) 2.1 kg = _____ Dag

- 1 kg = 1,000 g → 2.1 kg = 2,100 g
- 1 Dag = 10 g → 2,100 g = 210 Dag
✔ Answer: 210 Dag

---

p) 170 Dag = _____ Kg

- 1 Dag = 10 g → 170 Dag = 1,700 g
- 1 kg = 1,000 g → 1,700 g = 1.7 kg
✔ Answer: 1.7 kg

---

q) 7.8 g = _____ dg

- 1 g = 10 dg → 7.8 g = 7.8 × 10 = 78 dg
✔ Answer: 78 dg

---

r) 8,600 dg = _____ Hg

- 1 dg = 0.1 g → 8,600 dg = 860 g
- 1 Hg = 100 g → 860 g = 8.6 Hg
✔ Answer: 8.6 Hg

---

s) 6 g = _____ cg

- 1 g = 100 cg → 6 g = 600 cg
✔ Answer: 600 cg

---

t) 10 g = _____ dg

- 1 g = 10 dg → 10 g = 100 dg
✔ Answer: 100 dg

---

✔ Final Answers Summary:

| Problem | Answer |
|--------|--------------|
| a) | 1 Hg |
| b) | 5.8 g |
| c) | 1,000 mg |
| d) | 500 cg |
| e) | 6 g |
| f) | 5 Dag |
| g) | 3 hg |
| h) | 5.3 Dag |
| i) | 6 Hg |
| j) | 69 Dag |
| k) | 6 cg |
| l) | 400 dg |
| m) | 970 g |
| n) | 5.6 Hg |
| o) | 210 Dag |
| p) | 1.7 kg |
| q) | 78 dg |
| r) | 8.6 Hg |
| s) | 600 cg |
| t) | 100 dg |

---

Let me know if you'd like this as a printable answer key or need explanations for any specific ones!