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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 (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.

You might like these

● Related Concepts

● Standard Unit of Capacity

● Addition of Capacity

● Subtraction of Capacity





3rd Grade Math Worksheets

3rd Grade Math Lessons

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