Let's solve each of the metric conversion problems step by step, using the
metric ladder and the rules provided:
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🔁 Conversion Rules Recap:
-
To convert to a smaller unit: Move decimal point
right (multiply)
-
To convert to a larger unit: Move decimal point
left (divide)
The metric prefixes in order from largest to smallest:
>
Kilo → Hecto → Deka → Basic Unit → Deci → Centi → Milli
Memory trick:
"King Henry Died Monday Drinking Chocolate Milk"
(Kilo, Hecto, Deka,
Base, Deci, Centi, Milli)
Each step is a factor of 10.
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Now let’s solve each problem:
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1) 3000 mg = ________ g
-
mg → g: Move
3 steps left (milli → centi → deci → base)
- Divide by 1000
- $ 3000 \div 1000 = 3 $
✔ Answer: 3 g
---
2) 105 km = ________ m
-
km → m: Move
3 steps right (kilo → hecto → deka → meter)
- Multiply by 1000
- $ 105 \times 1000 = 105,000 $
✔ Answer: 105,000 m
---
3) 500 cm = ________ m
-
cm → m: Move
2 steps left (centi → deci → base)
- Divide by 100
- $ 500 \div 100 = 5 $
✔ Answer: 5 m
---
4) 15.6 kg = ________ g
-
kg → g: Move
3 steps right
- Multiply by 1000
- $ 15.6 \times 1000 = 15,600 $
✔ Answer: 15,600 g
---
5) 10 mm = ________ cm
-
mm → cm: Move
1 step left
- Divide by 10
- $ 10 \div 10 = 1 $
✔ Answer: 1 cm
---
6) 7 L = ________ mL
-
L → mL: Move
3 steps right
- Multiply by 1000
- $ 7 \times 1000 = 7000 $
✔ Answer: 7000 mL
---
7) 198 g = ________ kg
-
g → kg: Move
3 steps left
- Divide by 1000
- $ 198 \div 1000 = 0.198 $
✔ Answer: 0.198 kg
---
8) 65 mL = ________ L
-
mL → L: Move
3 steps left
- Divide by 1000
- $ 65 \div 1000 = 0.065 $
✔ Answer: 0.065 L
---
9) 60 cm = ________ m
-
cm → m: Move
2 steps left
- Divide by 100
- $ 60 \div 100 = 0.6 $
✔ Answer: 0.6 m
---
10) 7.6 m = ________ cm
-
m → cm: Move
2 steps right
- Multiply by 100
- $ 7.6 \times 100 = 760 $
✔ Answer: 760 cm
---
11) 19 cm = ________ mm
-
cm → mm: Move
1 step right
- Multiply by 10
- $ 19 \times 10 = 190 $
✔ Answer: 190 mm
---
12) 1500 m = ________ km
-
m → km: Move
3 steps left
- Divide by 1000
- $ 1500 \div 1000 = 1.5 $
✔ Answer: 1.5 km
---
13) 25 g = ________ mg
-
g → mg: Move
3 steps right
- Multiply by 1000
- $ 25 \times 1000 = 25,000 $
✔ Answer: 25,000 mg
---
14) 8.3 cm = ________ mm
-
cm → mm: Move
1 step right
- Multiply by 10
- $ 8.3 \times 10 = 83 $
✔ Answer: 83 mm
---
15) 130 mg = ________ g
-
mg → g: Move
3 steps left
- Divide by 1000
- $ 130 \div 1000 = 0.13 $
✔ Answer: 0.13 g
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✔ Final Answers:
1)
3 g
2)
105,000 m
3)
5 m
4)
15,600 g
5)
1 cm
6)
7000 mL
7)
0.198 kg
8)
0.065 L
9)
0.6 m
10)
760 cm
11)
190 mm
12)
1.5 km
13)
25,000 mg
14)
83 mm
15)
0.13 g
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🧠 Tip:
Always count how many steps you move on the ladder and shift the decimal accordingly —
right for smaller units, left for larger ones.
Let me know if you'd like this as a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of science conversion worksheet.
