Thursday, November 30, 2023

In
addition of capability we are going to learn to add the totally different models of
capability and quantity collectively. Whereas including we have to comply with that the
models of capability i.e., liter and milliliter are transformed into
milliliters earlier than addition after which comply with the easy addition course of.

We are going to study two totally different strategies to unravel addition utilizing the usual unit and smaller unit of capability. College students can follow each the strategies.

(i) Including models with conversion into milliliters

(ii) Including models with out conversion into milliliters

We will add two or extra models of capability l and ml similar to
unusual numbers.

Labored-out examples on addition of capability and quantity:

1. Add 3 l 600 ml and 6 l 300 ml

Resolution:

Methodology 1 (with conversion into milliliters):

We all know, 1 liter = 1000 milliliters

Now liter (l) and milliliters (ml) are transformed into ml earlier than doing addition after which we have to comply with the easy addition course of.

3 l 600 ml = (3 × 1000) ml + 600 ml = 3000 ml + 600 ml = 3600 milliliters

6 l 300 ml = (6 × 1000) ml + 300 ml = 6000 ml + 300 ml = 6300 milliliters

Now sum,

3600 ml

+  6300 ml

9900 ml

= 9 l 900 ml

Due to this fact, 3 l 600 ml + 6 l 300 ml = 9 l 900 ml

Methodology 2 (with out conversion into milliliters):

Right here l and ml are organized in several columns after which added like unusual numbers.

(i) l and ml are organized column-wise

(ii) 600 ml + 300 ml = 900 ml

(iii) 3 l + 6 l = 9 l

l        ml
3       600

+   6       300
9       900

= 9 l 900 ml

Due to this fact, sum of three l 600 ml and 6 l 300 ml = 9 l 900 ml.

2. Add 5 l 725 ml and eight l 450 ml

Resolution:

Methodology 1 (with conversion into milliliters):

We all know, 1 liter = 1000 milliliters

Now liter (l) and milliliters (ml) are transformed into ml earlier than doing addition after which we have to comply with the easy addition course of.

5 l 725 ml = (5 × 1000) ml + 725 ml = 5000 ml + 725 ml = 5725 milliliters

8 l 450 ml = (8 × 1000) ml + 450 ml = 8000 ml + 450 ml = 8450 milliliters

Now sum,

1
5725
ml

+   8450 ml
14175
ml

= 14 l 175 ml

Due to this fact, 5 l 725 ml + 8 l 450 ml = 14 l 175 ml

Methodology 2 (with out conversion into milliliters):

Right here l and ml are organized in several columns after which added like unusual numbers.

(i) l and ml are organized column-wise

(ii) 725 ml + 450 ml = 1 l 175 ml.
175 ml is positioned below ml. 1 l is taken in l column.

(iii) 1 l + 5 l + 8 l = 14 l

l        ml
1
5      725

+    8      450

14      175

= 14 l 175 ml

Due to this fact, sum of 5 l 725 ml and eight l 450 ml = 14 l 175 ml.

Extra solved examples on addition of capability the place the tactic is talked about within the given query.

3. Add 17 l 387 ml, 7 l 750 ml and 9 l with out conversion into milliliters

Resolution:

With out conversion into milliliters right here l and ml are organized in several columns after which added like unusual numbers.

(i) l and ml are organized column-wise

(ii) 387 ml + 750 ml = 1 l 137 ml.
137 ml is positioned below ml. 1 l is taken in l column.

(iii) 1 l + 17 l + 7 l + 9 l = 34 l

l       ml
21     1
17     387

7     750

+    9     000
34     137

= 34 l 137 ml

Due to this fact, sum of 17 l 387 ml, 7 l 750 ml and 9 l = 34 l 137 ml.

4. Add 13 l 250 ml, 8 l 750 ml and 6 l with conversion into milliliters

Resolution:

With conversion into milliliters right here we are going to do the addition course of.

We all know, 1 liter = 1000 milliliters

Now liter (l) and milliliters (ml) are transformed into ml earlier than doing addition after which we have to comply with the easy addition course of.

13 l 250 ml = (13 × 1000) ml + 250 ml = 13000 ml + 250 ml = 13250 milliliters

8 l 750 ml = (8 × 1000) ml + 750 ml = 8000 ml + 750 ml = 8750 milliliters

6 l = (6 × 1000) ml = 6000 milliliters

Now sum,

111
13250 ml

8750 ml

+   6000 ml
28000
ml

= 28 l 000 ml

= 28000 ml

Due to this fact, 13 l 250 ml + 8 l 750 ml + 6 l = 28000 ml

5. Add 36 l 275 ml and 16 l 150 ml.

 Resolution: Prepare the numbers vertically. First, add the milliliters. 275 ml + 150 ml = 425 ml Add the liters 36 l + 16 l = 52 l

Therefore, 36 l 275 ml + 16 l 150 ml = 52 l 425 ml

6. Add 150 l 810 ml and 90 l 300 ml

Resolution:

 Prepare the numbers vertically. First, add the milliliters. 810 ml + 300 ml = 1110 ml                          = 1 l 110 ml Write 110 below ml column and carry over 1 l to the liters column. Add the liters 150 l + 90 l + 1 = 241 l

Therefore, 150 ℓ 810 mℓ + 90 ℓ 300 mℓ = 241 ℓl 110 mℓ

For addition, write the variety of mℓ and ℓ in separate columns then add like unusual numbers. ranging from the appropriate.

7. Add 27 ℓ 450 mℓ & 52 ℓ 120 mℓ.

Resolution:

mℓ      ℓ

27     450

+   52     120

79      570

8. Add 214 ℓ 321 mℓ, 426 ℓ 932 mℓ & 358 ℓ 416 mℓ.

Resolution:

mℓ           ℓ

1   1

2 1 4      3 2 1

4 2 6      9 3 2

+   3 5 8      4 1 6

9 9 9      6 6 9

Phrase Issues on Addition of Capability and Quantity:

7. Finn bought 3 l 250 ml of milk on Monday, 2 l 750 ml on Wednesday and three 500 ml on Friday. How a lot milk did Finn bought throughout these three days?

Resolution:

1    1
Milk bought on Monday                                     =   3 l  250 ml

Milk bought on Wednesday                                =   2 l  750 ml

Milk bought on Friday                                        =   3 l  500 ml
+

Due to this fact, whole milk bought throughout these 3 days =   9 l  500 ml

The above issues on addition of capability will assist the scholars to follow the worksheet on including the totally different models with conversion or with out conversion.

Questions and Solutions on Addition of Capability:

(i) 7 l 152 ml + 2 l 339 ml

(ii) 5 l 240 ml + 7 l 860 ml

(iii) 70 l 000 ml + 22 l 504 ml

(iv) 13 l 1290 ml + 18 l 160 ml

(v) 32 l 540 ml + 18 l + 210 ml

(vi) 19 l 300 ml + 3 l 900 ml

(vii) 62 l 200 ml + 15 ml 385 ml

(viii) 120 l + 625 ml + 30 l 750 ml

(ix) 21 l 845 ml + 32 l 116 ml + 38 l 082 ml

Solutions:

I. (i) 9 l 491 ml

(ii) 13 l 100 ml

(iii) 92 l 504 ml

(iv) 31 l 450 ml

(v) 50 l 750 ml

(vi) 23 l 200 ml

(vii) 77 l 585 ml

(viii) 151 l 375 ml

(ix) 92 l 43 ml

 (i) mℓ      ℓ               21     27         +   48     32 _              _______ _ (ii) mℓ      ℓ               86     45         +   12     20 _              _______ _
 (iii) mℓ      ℓ               27     10         +   11     25 _              _______ _ (iv) mℓ      ℓ               32     94         +   60     05 _              _______ _
 (v) mℓ        ℓ               17     826         +   23     578 _              _______ __ (vi) mℓ        ℓ               46     950         +   39     475 _              ________ _
 (vii) mℓ        ℓ               76     586         +   45     674 _              _______ __ (viii) mℓ        ℓ               51     700         +   48     300 _              ________ _
 (ix) mℓ        ℓ              209     68              214     09         +   116     00 _              _______ __ (x) mℓ        ℓ              423     00              147     05         +   208     79 _              _______ __
 (xi) mℓ        ℓ              126     90              103     70         +   264     50 _              _______ __ (xii) mℓ        ℓ              210     73              216     08         +   205     98 _              _______ __

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