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Conversion of Standard Unit of Capacity
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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