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Metric unit conversion practice using the ladder method, with completed examples.

A worksheet showing metric unit conversions using the ladder method, with handwritten answers for problems involving milligrams, grams, kilograms, meters, centimeters, millimeters, liters, and milliliters.

A worksheet showing metric unit conversions using the ladder method, with handwritten answers for problems involving milligrams, grams, kilograms, meters, centimeters, millimeters, liters, and milliliters.

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Show Answer Key & Explanations Step-by-step solution for: Metric Mania Conversion Practice - Key
Let's solve each of these unit conversions using the ladder method (also known as the metric conversion ladder). The ladder is based on the metric prefixes:

```
k h da _ d c m
```

This stands for:
- kilo (1000)
- hecto (100)
- daka (10)
- (base unit) (meters, liters, grams)
- deci (0.1)
- centi (0.01)
- milli (0.001)

When converting, you move the decimal point based on how many steps you go up or down the ladder.

---

Let's go through each problem:



---

1) 2000 mg = ___ g

- From milli (m) to gram (g): move 3 steps up.
- So, move decimal 3 places left:
2000 mg → 2.000 g → 2 g

Answer: 2 g

---

2) 104 km = ___ m

- From kilo (k) to meter (m): move 3 steps down.
- Move decimal 3 places right:
104 km → 104,000 m

Answer: 104,000 m

---

3) 480 cm = ___ m

- From centi (c) to meter (m): move 2 steps up.
- Move decimal 2 places left:
480 cm → 4.80 m → 4.8 m

Answer: 4.8 m

---

4) 5.6 kg = ___ g

- From kilo (k) to gram (g): move 3 steps down.
- Move decimal 3 places right:
5.6 kg → 5600 g

Answer: 5600 g

---

5) 8 mm = ___ cm

- From milli (m) to centi (c): move 1 step up.
- Move decimal 1 place left:
8 mm → 0.8 cm

Answer: 0.8 cm

---

6) 5 L = ___ mL

- From liter (L) to milli (mL): move 3 steps down.
- Move decimal 3 places right:
5 L → 5000 mL

Answer: 5000 mL

---

7) 198 g = ___ kg

- From gram (g) to kilo (kg): move 3 steps up.
- Move decimal 3 places left:
198 g → 0.198 kg

Answer: 0.198 kg

---

8) 75 mL = ___ L

- From milli (mL) to liter (L): move 3 steps up.
- Move decimal 3 places left:
75 mL → 0.075 L

Answer: 0.075 L

---

9) 50 cm = ___ m

- From centi (c) to meter (m): move 2 steps up.
- Move decimal 2 places left:
50 cm → 0.50 m → 0.5 m

Answer: 0.5 m

---

10) 5.6 m = ___ cm

- From meter (m) to centi (cm): move 2 steps down.
- Move decimal 2 places right:
5.6 m → 560 cm

Answer: 560 cm

---

11) 16 cm = ___ mm

- From centi (c) to milli (m): move 1 step down.
- Move decimal 1 place right:
16 cm → 160 mm

Answer: 160 mm

---

12) 2500 m = ___ km

- From meter (m) to kilo (km): move 3 steps up.
- Move decimal 3 places left:
2500 m → 2.5 km

Answer: 2.5 km

---

13) 65 g = ___ mg

- From gram (g) to milli (mg): move 3 steps down.
- Move decimal 3 places right:
65 g → 65,000 mg

Answer: 65,000 mg

---

14) 6.3 cm = ___ mm

- From centi (c) to milli (m): move 1 step down.
- Move decimal 1 place right:
6.3 cm → 63 mm

Answer: 63 mm

---

15) 120 mg = ___ g

- From milli (mg) to gram (g): move 3 steps up.
- Move decimal 3 places left:
120 mg → 0.120 g → 0.12 g

Answer: 0.12 g

---

Final Answers:



1) 2 g
2) 104,000 m
3) 4.8 m
4) 5600 g
5) 0.8 cm
6) 5000 mL
7) 0.198 kg
8) 0.075 L
9) 0.5 m
10) 560 cm
11) 160 mm
12) 2.5 km
13) 65,000 mg
14) 63 mm
15) 0.12 g

All solved using the ladder method with correct decimal movement!
Parent Tip: Review the logic above to help your child master the concept of conversion problems chemistry worksheet.
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