Let's solve the
Metric Mania Conversion Practice step by step, using the
ladder method (also known as the metric staircase). This method helps convert between metric units by moving the decimal point based on the number of steps between units.
---
🔷 Step 1: Understand the Metric Ladder
The basic metric ladder for length, mass, and volume looks like this:
```
km hm dam m dm cm mm
```
For mass:
```
kg hg dag g dg cg mg
```
For volume:
```
kL hL daL L dL cL mL
```
- To go from a
larger unit to a smaller unit, move the decimal point
to the right (multiply).
- To go from a
smaller unit to a larger unit, move the decimal point
to the left (divide).
Each step is a factor of
10.
---
✔ Conversion Problems
#### 1.
1000 mg = ______ g
- mg → g: move
3 steps up (mg → cg → dg → g)
- Move decimal
3 places left:
1000 mg =
1.000 g →
1 g
✔ Answer: 1 g
---
#### 2.
1 L = ______ mL
- L → mL: move
3 steps down (L → dL → cL → mL)
- Move decimal
3 places right:
1 L =
1000 mL
✔ Answer: 1000 mL
---
#### 3.
160 cm = ______ mm
- cm → mm: move
1 step down
- Move decimal
1 place right:
160 cm =
1600 mm
✔ Answer: 1600 mm
---
#### 4.
14 km = ______ m
- km → m: move
3 steps down (km → hm → dam → m)
- Move decimal
3 places right:
14 km =
14,000 m
✔ Answer: 14,000 m
---
#### 5.
109 g = ______ kg
- g → kg: move
3 steps up
- Move decimal
3 places left:
109 g =
0.109 kg
✔ Answer: 0.109 kg
---
#### 6.
250 m = ______ km
- m → km: move
3 steps up
- Move decimal
3 places left:
250 m =
0.250 km
✔ Answer: 0.250 km
---
🔷 Comparison Problems
#### 7.
56 cm ___ 6 m
Convert both to same unit. Let's convert to
cm.
- 6 m = 6 × 100 =
600 cm
- Compare: 56 cm vs 600 cm
Since 56 < 600 →
✔ 56 cm < 6 m
---
#### 8.
7 g ___ 698 mg
Convert both to same unit. Convert to
mg.
- 7 g = 7 × 1000 =
7000 mg
- Compare: 7000 mg vs 698 mg
Since 7000 > 698 →
✔ 7 g > 698 mg
---
✔ Final Answers:
Conversions:
- 1000 mg =
1 g
- 1 L =
1000 mL
- 160 cm =
1600 mm
- 14 km =
14,000 m
- 109 g =
0.109 kg
- 250 m =
0.250 km
Comparisons:
- 56 cm
< 6 m
- 7 g
> 698 mg
---
Let me know if you'd like a visual diagram of the ladder or help with more conversions!
Parent Tip: Review the logic above to help your child master the concept of metric ladder worksheet.
