In subtraction of capacity we will learn how to find the difference between the units of capacity and volume. While subtracting we need to follow that the units of capacity i.e., liter and milliliter are converted into milliliters before subtraction and then follow the simple subtraction process.

We will learn two different methods to solve subtraction using the standard unit and smaller unit of capacity. Students can practice both the methods.

**(i)** Subtracting units with conversion into milliliter

**(ii)** Subtracting units without conversion into *milliliter*

We can subtract units of capacity measures just like ordinary numbers.

Worked-out examples on subtraction of capacity:

**1.** Subtract 6 *l* 250 *ml* from 15 *l* 500 *ml*

**Solution:**

**Method 1 **(with conversion into *milliliter*):

We know, 1 *liter* = 1000 *milliliters*

Now liter and milliliter are converted into milliliters before doing subtraction and then we need to follow the simple subtraction process.

6 *l* 250 *ml* = (6 × 1000) *ml* + 250 *ml* = 6000
*ml* + 250 *ml* = 6250 *milliliters*

15 *l* 500 *ml* = (15 × 1000) *ml* + 500 *ml* = 15000
*ml* + 500 *ml* = 15500 *milliliters*

Now difference is,

15500
**ml**

-__ 6250 ml__

= 9 *l* 250 *ml*

**Therefore,
15 ***l*** 500 ml - 6 l 250 ml = 9 l 250 ml**

**Method 2 **(without conversion into milliliter):

Here liter and milliliter are arranged in different columns and then subtract like ordinary numbers.

**Follow
the steps:**

(i) *Liter* and *milliliter* are arranged in
columns

(ii) 500 *ml* - 250 *ml* = 250 *ml*

(iii) 15 *l* - 6 *l* = 9 *l*

**l ml**

15 500

- __ 6 250__

__ 9 250__

= 9* l* 250 *ml*

**Therefore,
difference of 6 l 250 ml from 15 l 500 ml = 9 l 250 ml **

**2.** Subtract 6 *l* 650 *ml* from 18 *l* 875 *ml*

**Solution:**

**Method 1 **(with conversion into *milliliter*):

We know, 1 *liter* = 1000 *milliliters*

Now *liter* and *milliliter* are converted into
*milliliters* before doing subtraction and then we need to follow the simple
subtraction process.

6 *l* 650 *ml* = (6 × 1000) *ml* + 650 *ml* = 6000
*ml* + 650 *ml* = 6650 *milliliters*

18 *l* 875 *ml* = (18 × 1000) *ml* + 875 *ml* = 18000
*ml* + 875 *ml* = 18875 *milliliters*

Now difference is,

18875-

= 12 *l* 225 *ml*

**Therefore,
18 l 875 ml - 6 l 650 ml = 12 l 225 m**

**Method 2 **(without conversion into *milliliter*):

Here *liter* and *milliliter* are arranged in different columns and then subtract like ordinary numbers.

**Follow the steps:**

(i) *Liter* and *milliliter* are arranged in columns

(ii) 875 *ml* - 650 *ml* = 225 *ml*

(iii) 18 *l* - 6 *l* = 12 *l*

** l ml**

18 875

- __ 6 650__

__ 12 225__

= 12 *l* 225 *ml*

**Therefore, difference of 6 l 650 ml from 18 l 875 ml = 12 l 225 ml **

More solved examples on subtraction of capacity where the method is mentioned in the given question.

**3.** Subtract 7 *l* 850 *ml* from 19 *l* 375 *ml* without conversion into *milliliter*.

**Solution:**

Without conversion into *milliliter* here *liter* and *milliliter* are arranged in different columns and then subtract like ordinary numbers.

**Follow the steps:**

(i)* Liter* and *milliliter* are arranged in columns

(ii) 850 *ml* - 375 *ml*, so 1 *l* from 19 *l* is borrowed and added to 375 *ml*

1 *l* + 375 *ml* = 1375 *ml*

1375 *ml* - 850 *ml* = 525 *ml*

(iii) 19 *l* reduce into 18 *l*

18* l* - 7 *l* = 11 *l*

**l ml**

1 1000

19 375

-__ 7 850__

__ 11 525__

= 11 *l* 525 *ml*

**Therefore, difference of 7 l 850 ml from 19 l 375 ml = 11 l 525 ml **

**4.** Subtract 4 *l* 250 *ml* from 13 *l* 750 *ml* with conversion into *milliliter*.

**Solution:**

With conversion into *milliliter* we will do simple subtraction.

We know, 1 *liter* = 1000 *milliliters*

Now liter and *milliliter* are converted into *milliliters* before doing subtraction and then we need to follow the simple subtraction process.

4 *l* 250 *ml* = (4 × 1000) *ml* + 250 *ml* = 4000 *ml* + 250 *ml* = 4250 *milliliters*

13 *l* 750 *ml* = (13 × 1000) *ml* + 750 *ml* = 13000 *ml* + 750 *ml* = 13750 *milliliters*

Now difference is,

13750 **ml**

-__ 4250 ml__

= 9 *l* 500 *ml*

**Therefore, 13 l 750 ml - 4 l 250 ml = 9 l 500 ml**

**5.** Subtract 76 l 980 ml from 101 l 300 ml.

**Solution:**

Arrange the numbers vertically. First subtract the ml Since, 980 ml > 300 ml, we cannot subtract. We borrow 1 l and subtract 980 from 1300. 1300 – 980 = 320 ml, write 320 under ml column. Subtract liters. 100 – 76 = 24 l Write 24 under liters column. |

Hence, 101 l 300 ml – 76 l 980 ml = 24 l 320 ml

Word problems on subtraction of capacity and volume:

**6.** Olivia purchased 7 *l* 500 *ml* of milk. She consumed 3 *l* 700 *ml* of milk during the day. How much milk was left?

**Solution:**

Quantity of milk purchased = 7 *l* 500 *ml*

__Quantity of milk consumed = 3 l 700 ml__

Therefore, quantity of milk left = 3 l 800 *ml*

The above problems on subtraction of capacity and volume will help the students to practice the worksheet on subtracting the different units with conversion or without conversion.

Questions and Answers on Subtraction of Capacity:

**I. Subtract the following:**

(i) 24 l 445 ml – 14 l 134 ml

(ii) 65 l 109 ml – 42 l 813 ml

(iii) 74 l 340 ml – 51 l 250 ml

(iv) 90 l 000 ml – 42 l 056 ml

(v) 81 l 550 ml - 62 l 125 ml

(vi) 72 l 160 ml – 54 l 320 ml

**Answers:**

**I.** (i) 10 l 311 ml

(ii) 22 l 296 ml

(iii) 23 l 90 ml

(iv) 47 l 944 ml

(v) 19 l 425 ml

(vi) 17 l 840 ml

● **Related
Concepts **

**●** Conversion
of Standard Unit of Capacity

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