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E:\Working\Focus_Learning\Math_Genius_4_(25-10-2023)\Open_Files\Chap-02
\\December 7, 2023 3:54 PM Bharat Arora P-6 Reader _________________________ Date: ___________________74

(e) L tth th H t O (f) L tth th H t O

7 5 6 2 0 0 2 5 6 4 2 1
6 4 1 4 0 1 0 9 2 8 2

+ 1 2 2 5 2 6 + 1 6 2 1 2 1

2. Write in columns and add.
(a) 142312, 111111 and 202320 (b) 314070, 460102 and 215827

(c) 511423, 22330 and 155241 (d) 124152, 354827 and 311020
(e) 789261 and 90123 (f) 115206, 252621 and 562131

ProPerties of addition

1. Order Property: If we change the order of numbers (addends), the sum does not
change.
example: H t O H t O

2 1 4 3 2 5 So, 214 + 325 = 325 + 214

+ 3 2 5 + 2 1 4 This is also called the Commutative
5 3 9 5 3 9 Property of addition.
Same
2. grouping Property: Three addends grouped in two ways give the same sum.

Let us add 2968, 8567 and 5328.
1st way of grouping the addends is (2968 + 8567) + 5328.

tth th H t O tth th H t O

1 1 1 1 1
2 9 6 8 1st addend 1 1 5 3 5 Sum of two addends

+ 8 5 6 7 2nd addend Grouped + 5 3 2 8 3rd addend
1 1 5 3 5 Sum of two addends 1 6 8 6 3 Sum of three addends

2nd way of grouping the addends is 2968 + (8567 + 5328).

tth th H t O tth th H t O

1 1 1 1 1
8 5 6 7 2nd addend 1 3 8 9 5 Sum of two addends

+ 5 3 2 8 3rd addend Grouped + 2 9 6 8 1st addend
1 3 8 9 5 Sum of two addends 1 6 8 6 3 Sum of three addends

Clearly, the sum obtained in both the ways is same.
Thus, (2968 + 8567) + 5328 = 2968 + (8567 + 5328).
It is also called the Associative Property of addition.

36 Mathematics-4