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HomeMathAddition of Mass |Add the Totally different Models of Mass |Labored-out Examples

# Addition of Mass |Add the Totally different Models of Mass |Labored-out Examples

In
addition of mass we’ll learn to add the totally different models of mass or weight
collectively.

Let
us learn to add totally different models of mass.

Whereas including we have to observe that the models of mass i.e., kilogram
and gram are transformed into grams earlier than addition after which observe the easy
can add two or extra models of mass given in kilogram and grams like peculiar
numbers. At all times categorical grams as 3-digit numbers for instance 3 g =
003 g.

We’ll study two totally different strategies to resolve addition utilizing the usual unit and smaller unit of mass. College students can apply each the strategies.

(i) Including models with conversion into gram

(ii) Including models with out conversion into gram

Labored-out examples on addition of mass:

1. Add 7 kg 350 g and a couple of kg 150 g

Technique 1 (with conversion
into gram):

We all know, 1 kg = 1000 grams

Now kg and g are transformed into grams earlier than doing addition
after which we have to observe the easy addition course of.

7 kg 350 g = (7 × 1000) g + 350 g = 7000 g + 350 g = 7350
grams

2 kg 150 g = (2 × 1000) g + 150 g = 2000 g + 150 g = 2150
grams

Now sum,

1
7350 g

+  2150 g
9500 g

= 9 kg 500 g

Subsequently, 7 kg 350 g
+ 2 kg 150 g = 9 kg 500 g

Technique 2 (with out
conversion into gram):

Right here kg and g are organized in numerous columns after which

kg       g
1
7     350

+   2     150
9     500

= 9 kg 500 g

Subsequently, sum of seven
kg 350 g and a couple of kg 150 g = 9 kg 500 g

2. Add 8 kg 575 g
and 4 kg 897 g

Technique 1 (with conversion
into gram):

We all know, 1 kg = 1000 grams

Now kg and g are transformed into grams earlier than doing addition
after which we have to observe the easy addition course of.

8 kg 575 g = (8 × 1000) g + 575 g = 8000 g + 575 g = 8575
grams

4 kg 897 g = (4 × 1000) g + 897 g = 4000 g + 897 g = 4897
grams

Now sum,

1 1 1
8 5 7 5  g

+  4 8 9 7  g
1 3 4 7 2  g

= 13 kg 472
g

Subsequently, 8 kg 575 g
+ 4 kg 897 g = 13 kg 472 g

Technique 2 (with out
conversion into gram):

Right here kg and g are organized in numerous columns after which

kg        g
1     1 1
8     5 7 5

+   4     8 9 7
1 3      4 7 2

= 13 kg
472 g

Subsequently, sum of 8
kg 575 g and 4 kg 897 g = 13 kg 472 g

kg 940 g and 15 kg 65 g

Right here kg and g are organized in numerous columns after which
added like peculiar numbers (with out conversion into gram).

kg        g
11     1
17     000

13     940

+  15     065
46     005

= 46 kg
005 g

Subsequently, sum of 17
kg, 13 kg 940 g and 15 kg 65 g = 46 kg 005 g

4. Add 6 kg 135 g and 11 kg 954 g.

 Organize the numbers vertically. First, add the grams. 135 + 954 = 1089 g = 1000 g + 89 g Write 89 beneath grams column and carry over 1 kg to kilograms column. Add the kilograms. 6 + 11 + 1 (carry over) = 18 kg

Write 18 kg beneath the kilograms column.

Therefore, 6 kg 135 g + 11 kg 954 g = 18 kg 89 g.

5. Add: 45 kg 726 g, 23 kg 12 g and seven kg 53 g.

 Answer: Allow us to add Step I: Organize the numbers vertically. Step II: Write the weights to be added in kg and g as proven right here. Step III: First add grams from proper after which add the kilograms.

Thus, 45 kg 726 g + 23 kg 12 g + 7 kg 53 g = 75 kg 791 g

So as to add weight, write the variety of kg and g in separate columns then add like peculiar numbers, ranging from the proper.

6. Add 28 kg 460 g + 45 kg 385 g.

kg        g

1         1

2 8     4 6 0

+   4 5     3 8 5

7 3      8 4 5

7. Add 43 kg 56 g, 12 kg 74 g & 21 kg 95 g.

kg        g

2      1

4 3     5 6

1 2     7 4

+   2 1     9 5

7 8     2 5

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

Questions and Solutions on Addition of Mass:

(i) 23 kg 084 g + 16 kg 214 g

(ii) 32 g 132 mg + 57 g 265 mg

(iii) 34 kg 000 g + 19 kg 075 g

(iv) 44 kg 725 g + 15 kg 200 g

(v) 70 kg 600 g + 18 kg 504 g

(vi) 41 g 800 mg + 12
g 200 mg + 33 g 082 mg

Solutions:

I. (i) 39 kg 298 g

(ii) 89 g 397 mg

(iii) 53 kg 75 g

(iv) 59 kg 925 g

(v) 89 kg 104 g

(vi) 87 g 82 mg

(i) 23 kg 673 g, 10 kg 98 g and 5 kg 600 g

(ii) 38 kg 900 g, 17 kg 547 g and 12 kg 621 g

(iii) 56 kg 411 g, 21 kg 561 g and eight kg

(iv) 156 kg 32 g, 441 kg 198 g and 158 kg 200 g

(v) 200 kg 500 g, 279 kg 679 g and 134 kg 450 g

(vi) 250 kg 60 g, 45 kg 100 g and 90 kg 300 g

(vii) 180 kg 110 g, 170 kg 85 g and 60 kg 50 g

(viii) 310 kg 500 g, 105 kg 180 g and 15 kg 50 g

(ix) 75 kg 350 g, 150 kg 200 g and 225 kg 175 g

II. (i) 39 kg 371 g

(ii) 69 kg 68 g

(iii) 85 kg 972 g

(iv) 755 kg 43 g

(v) 614 kg 629 g

(vi) 385 kg 460 g

(vii) 410 kg 245 g

(viii) 430 kg 730 g

(ix) 450 kg 725 g

(i) 23 kg 345 g, 12 kg 120 g and 5 kg 78 g

(ii) 127 kg 437 g, 67 kg 790 g and 34 kg

(iii) 904 kg 230 g, 14 kg 780 g and 17 kg 495 g

(iv) 33 kg 480 g, 348 kg 560 g and 70 kg 30 g

(v) 65 kg 632 g, 121 kg 12 g and 130 kg

III. (i) 405 kg 543 g

(ii) 229 kg 227 g

(iii) 936 kg 505 g

(iv) 452 kg 70 g

(v) 316 kg 644 g

 (i) kg          g           37         87     +    11         11      _____________ (ii) kg          g           13         60     +    61         20      _____________
 (iii) kg          g           54         84     +    27         40      _____________ (iv) kg          g           74         15     +    17         18      _____________
 (v) kg          g           96         35     +    42         53      _____________ (vi) kg          g           12         83     +    14         17      _____________
 (vii) kg          g           18         56     +    07         37      _____________ (viii) kg          g           54         45     +    37         48      _____________
 (ix) kg           g           56         904           38         417     +  112         568      ______________ (x) kg           g           65         394           09         678     +    83         467     ______________
 (xi) kg           g           26         760           14         650     +    79         480     ______________ (xii) kg           g           53         350           36         150     +    63         100     ______________
 (xiii) kg           g           76         706           19         890     +    17         700     ______________ (xiv) kg           g           13         576           46         695     +    20         800     ______________
 (xv) kg           g           18         985           15         850     +    16         250     ______________ (xvi) kg           g           25         705           25         350     +    63         111     ______________

IV. (i) 48 kg 98 g

(ii) 74 kg 80 g

(iii) 81 kg 124 g

(iv) 91 kg 33 g

(v) 138 kg 88 g

(vi) 26 kg 100 g

(vii) 25 kg 93 g

(viii) 91 kg 93 g

(ix) 207 kg 889 g

(x) 158 kg 539 g

(xi) 120 kg 890 g

(xii) 152 kg 600 g

(xiii) 114 kg 296 g

(xiv) 81 kg 71 g

(xv) 51 kg 85 g

(xvi) 114 kg 166 g

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