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.