For the conversion of standard unit of capacity it’s very important to know the relationship between the different units of capacity.
We know, one liter = 1000 milliliter
1000 milliliter = 1 liter
Relationship between different capacities:
1000 milliliter = 1 liter
Two 500 milliliter = 1 liter
Five 200 milliliter = 1 liter
Ten 100 milliliter = 1 liter
Twenty 50 milliliter = 1 liter
Thus, 1 liter = Two 500 milliliter = Five 200 milliliter = Ten 100 milliliter = Twenty 50 milliliter
Conversion of liter into milliliter and milliliter
into liter:
(i) To convert liter into milliliter, we write three zeroes (000) to the right of the number of liters.
As, 1 liter = 1000 milliliter, 5 liter
= 5000 milliliter
(ii) To convert milliliters into liters, we take the first 3 digits of the number from the extreme right as milliliters and the rest are written as liters.
Worked-out problems conversion of standard unit of capacity:
I. Convert liters into milliliters.
1. Convert 7 liters (ℓ) into milliliters (mℓ).
Solution:
7 liters
We know, 1 liter = 1000 milliliter
= 7 × 1000 milliliters
= 7000 milliliters
Therefore, 7 liters = 7000 milliliters
Answer: 7 ℓ = 7000 mℓ.
2. Convert 15 liters (ℓ) into milliliters (mℓ).
Solution:
15 liters
We know, 1 liter = 1000 milliliter
= 15 × 1000 ml
= 15000 ml
Therefore, 15 liters = 15000 milliliters
Answer: 15 ℓ = 15000 mℓ.
II. Convert milliliters into liters.
1. Convert 9000 milliliters (mℓ) into liters (ℓ).
Solution:
We know, 1 mℓ = \(\frac{1}{1000}\) ℓ
7000 mℓ = \(\frac{1}{1000}\) × 9000 ℓ
= \(\frac{9000}{1000}\) ℓ
= 9 ℓ
Answer: 9000 mℓ = 9 mℓ.
III. Convert liters milliliters into milliliters.
1. Convert 4 ℓ 70 mℓ into mℓ.
Solution:
4 l 70 ml
We know, 1 liter = 1000 milliliter
= 4 × 1000 ml + 70 ml
= 4000 ml + 70 ml
= 4070 ml
Therefore, 4 l 70 ml = 4070 milliliters
Answer: 4 ℓ 70 mℓ = 4070 mℓ
2. Convert 17 ℓ 200 mℓ into mℓ.
Solution:
17 ℓ 200 mℓ
= 17 ℓ + 200 mℓ
= (17 × 1000) mℓ + 200 mℓ; [Since, 1 ℓ = 1000 mℓ]
= 17000 mℓ + 200 mℓ
= 17200 mℓ
Answer: 17 ℓ 200 mℓ = 17200 mℓ
IV. Convert milliliters into liters and milliliters.
1. Express 6000 ml in liters and milliliters:
Solution:
6000 ml
= 6 liters 000 milliliters
= 6 ℓ
Therefore, 6000 ml = 6 liter
Answer: 6000 mℓ = 6 ℓ
2. Express 3579 mℓ in liters and milliliters:
Solution:
3579 mℓ
= 3 ℓ + 579 mℓ
= 3 ℓ 579 mℓ
Therefore, 3579 mℓ = 3 ℓ 579 mℓ
Answer: 3579 mℓ = 3 ℓ 579 mℓ
3. Convert 3579 mℓ in ℓ and mℓ:
Solution:
15437 mℓ
= 15 ℓ + 437 mℓ
= 15 ℓ 437 mℓ
Therefore, 15437 ml = 15 l 437 ml
Answer: 15437 mℓ = 15 ℓ 437 mℓ
4. Convert 6259 mℓ in ℓ and mℓ:
Solution:
6259 mℓ
= 6000 mℓ + 259 mℓ
= 6 ℓ + 259 mℓ; [Since, 1000 mℓ = 1 ℓ]
= 6 ℓ 259 mℓ
Therefore, 6259 milliliters = 6 liters 259 milliliters
Answer: 6259 mℓ = 6 ℓ 259 mℓ
Thus, the three digits from the right denote milliliters and remaining digits denote liters.
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