Find the Sum using Addition Property

How to find the sum using addition property?

1. The sum of two numbers does not change if the order of the numbers is changed. This property is expressed by the following examples of addition.

(i) 5 + 7 = 12

7 + 5 = 12

The sum of 5 and 7 is the same as the sum of 7 and 5, i.e., 12

(ii) 64 + 19 = 83

19 + 64 = 83

The sum of 64 and 19 = 83 and also the sum of 19 and 64 = 83

(iii) 235 + 126 = 361

126 + 235 = 361

The sum of 235 + 126 = 361 and also the sum of 126 + 235 = 361


2. The sum of three numbers does not change even when their grouping is changed. This property is expressed by the following examples.

(i) If we have to add 5, 7 and 9 we can group and find the sum as follow:

(5 + 7) + 9 = 12 + 9 = 21

(7 + 9) + 5 = 16 + 5 = 21

We see (5 + 7) + 9 = (7 + 9) + 5 = 21 = 5 + 7 + 9 = 21

(ii) We have to find the sum using addition property of 19 + 25 + 21

19 + 21 = 40 + 25 = 65

19 + 25 = 44 + 21 = 65

25 + 21 = 46 + 19 = 65

Thus, 19 + 25 + 21 = 65

i.e., (19 + 21) + 25 = (19 + 25) + 21 = (25 + 21) + 19 = 65 = 19 + 25 + 21

(iii) We have to find the sum of 125 + 265 + 112

125 + 265 = 390 + 112 = 502

265 + 112 = 377 + 125 = 502

125 + 112 = 237 + 265 = 502

Thus, 125 + 265 + 112 = 502

i.e., (125 + 265) + 112 = (265 + 112) + 125 = (125 + 112) + 265 = 502

Hence the grouping of numbers does not affect the addition sum.


3. To find the sum using addition property of a number and zero is the number itself.

as 5 + 0 = 5

32 + 0 = 32

372 + 0 = 372

0 + 9 = 9

0 + 68 = 68

0 + 472 = 472


2nd Grade Math Practice

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