Home Math Subtraction of Capability | Models of Capability and Quantity

### Subtraction of Capability | Models of Capability and Quantity

In subtraction of capability we’ll be taught
methods to discover the distinction between the items of capability and quantity. Whereas
subtracting we have to comply with that the items of capability i.e., liter and
milliliter are transformed into milliliters earlier than subtraction after which comply with
the straightforward subtraction course of.

We are going to be taught two completely different strategies to resolve subtraction utilizing the usual unit and smaller unit of capability. College students can observe each the strategies.

(i) Subtracting items with conversion into milliliter

(ii) Subtracting items with out conversion into milliliter

We are able to subtract items of capability measures identical to
atypical numbers.

Labored-out examples on subtraction of capability:

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

Resolution:

Technique 1 (with conversion into milliliter):

We all know, 1 liter = 1000 milliliters

Now liter and milliliter are transformed into
milliliters earlier than doing subtraction after which we have to comply with the straightforward
subtraction course of.

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 distinction is,

15500
ml

–   6250 ml
9250 ml

= 9 l 250 ml

Subsequently,
15
l 500 ml – 6 l 250 ml = 9 l 250 ml

Technique 2 (with out conversion into milliliter):

Right here liter and milliliter are organized in
completely different columns after which subtract like atypical numbers.

Comply with
the steps:

(i) Liter and milliliter are organized 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

Subsequently,
distinction 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

Resolution:

Technique 1 (with conversion into milliliter):

We all know, 1 liter = 1000 milliliters

Now liter and milliliter are transformed into
milliliters earlier than doing subtraction after which we have to comply with the straightforward
subtraction course of.

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 distinction is,

18875 ml

–    6650 ml
12225 ml

= 12 l 225 ml

Subsequently,
18 l 875 ml – 6 l 650 ml = 12 l 225 m

Technique 2 (with out conversion into milliliter):

Right here liter and milliliter are organized in several columns after which subtract like atypical numbers.

Comply with the steps:

(i) Liter and milliliter are organized 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

Subsequently, distinction of 6 l 650 ml from 18 l 875 ml = 12 l 225 ml

Extra solved examples on subtraction of capability the place the strategy is talked about within the given query.

3. Subtract 7 l 850 ml from 19 l 375 ml with out conversion into milliliter.

Resolution:

With out conversion into milliliter right here liter and milliliter are organized in several columns after which subtract like atypical numbers.

Comply with the steps:

(i) Liter and milliliter are organized in columns

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

l + 375 ml = 1375 ml

1375 ml – 850 ml = 525 ml

(iii) 19 l cut back into 18 l

18 l – 7 l = 11 l

l        ml
1      1000
19      375

–    7      850
11      525

= 11 l 525 ml

Subsequently, distinction of seven 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.

Resolution:

With conversion into milliliter we’ll do easy subtraction.

We all know, 1 liter = 1000 milliliters

Now liter and milliliter are transformed into milliliters earlier than doing subtraction after which we have to comply with the straightforward subtraction course of.

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 distinction is,

13750 ml

–   4250 ml
9500 ml

= 9 l 500 ml

Subsequently, 13 l 750 ml – 4 l 250 ml = 9 l 500 ml

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

Resolution:

 Prepare the numbers vertically. First subtract the ml Since, 980 ml > 300 ml, we can not subtract. We borrow 1 l and subtract 980 from 1300. 1300 – 980 = 320 ml, write 320 underneath ml column. Subtract liters. 100 – 76 = 24 l Write 24 underneath liters column.

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

To subtract, write the variety of mℓ and ℓ in separate columns then subtract like atypical numbers ranging from the precise.

6. Subtract 22 ℓ 20 mℓ from 45 ℓ 60 mℓ.

ℓ       mℓ

45     60

–  22      20

23     40

7. Subtract 268 ℓ 994 mℓ from 866 ℓ 793 mℓ.

ℓ              mℓ

7   15  15       16  18  13

8   6   6      7   9   3

–  2   6   8       9   9   4

___5   9   7      7   9    9

Phrase issues on subtraction of capability and quantity:

8. Olivia bought 7 l 500 ml of milk. She consumed 3 l 700 ml of milk in the course of the day. How a lot milk was left?

Resolution:

Amount of milk bought                         =             7 l 500 ml

Amount of milk consumed                         =             3 l 700 ml

Subsequently, amount of milk left                   =             3 l 800 ml

The above issues on subtraction of capability and quantity will assist the scholars to observe the worksheet on subtracting the completely different items with conversion or with out conversion.

Questions and Solutions on Subtraction of Capability:

I. Subtract the next:

(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

Solutions:

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

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Ideas