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For the conversion of standard unit of capacity itβs 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 (β) into milliliters (mβ).
Solution:
7 liters
We know, 1 liter = 1000 milliliter
= 7 Γ 1000 milliliters
= 7000 milliliters
Therefore, 7 liters = 7000 milliliters
Answer: 7 β = 7000 mβ.
2. Convert 15 liters (β) into milliliters (mβ).
Solution:
15 liters
We know, 1 liter = 1000 milliliter
= 15 Γ 1000 ml
= 15000 ml
Therefore, 15 liters = 15000 milliliters
Answer: 15 β = 15000 mβ.
II. Convert milliliters into liters.
1. Convert 9000 milliliters (mβ) into liters (β).
Solution:
We know, 1 mβ = 11000 β
7000 mβ = 11000 Γ 9000 β
= 90001000 β
= 9 β
Answer: 9000 mβ = 9 mβ.
III. Convert liters milliliters into milliliters.
1. Convert 4 β 70 mβ into mβ.
Solution:
4 l 70 ml
We know, 1 liter = 1000 milliliter
= 4 Γ 1000 ml + 70 ml
= 4000 ml + 70 ml
= 4070 ml
Therefore, 4 l 70 ml = 4070 milliliters
Answer: 4 β 70 mβ = 4070 mβ
2. Convert 17 β 200 mβ into mβ.
Solution:
17 β 200 mβ
= 17 β + 200 mβ
= (17 Γ 1000) mβ + 200 mβ; [Since, 1 β = 1000 mβ]
= 17000 mβ + 200 mβ
= 17200 mβ
Answer: 17 β 200 mβ = 17200 mβ
IV. Convert milliliters into liters and milliliters.
1. Express 6000 ml in liters and milliliters:
Solution:
6000 ml
= 6 liters 000 milliliters
= 6 β
Therefore, 6000 ml = 6 liter
Answer: 6000 mβ = 6 β
2. Express 3579 mβ in liters and milliliters:
Solution:
3579 mβ
= 3 β + 579 mβ
= 3 β 579 mβ
Therefore, 3579 mβ = 3 β 579 mβ
Answer: 3579 mβ = 3 β 579 mβ
3. Convert 3579 mβ in β and mβ:
Solution:
15437 mβ
= 15 β + 437 mβ
= 15 β 437 mβ
Therefore, 15437 ml = 15 l 437 ml
Answer: 15437 mβ = 15 β 437 mβ
4. Convert 6259 mβ in β and mβ:
Solution:
6259 mβ
= 6000 mβ + 259 mβ
= 6 β + 259 mβ; [Since, 1000 mβ = 1 β]
= 6 β 259 mβ
Therefore, 6259 milliliters = 6 liters 259 milliliters
Answer: 6259 mβ = 6 β 259 mβ
Thus, the three digits from the right denote milliliters and remaining digits denote liters.
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