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\\October 8, 2025 12:09 PM Bharat Arora P-9 Reader _________________________ Date: ___________________74

Properties of addition

1. Numbers can be added in any order. Their sum will remain FACTS
the same. It is called the order property of addition. The grouping property
example: 4025 + 1135 = 5160 and 1135 + 4025 = 5160 can also be used to

2. When 1 is added to a number, we get its successor. check the correctness
of the sum of addition.
example: 2478 + 1 = 2479.

Here, 2479 is the successor of 2478.
3. When 0 is added to a number, the sum is the number itself.

It is called the zero property of addition.

examples: 5136 + 0 = 5136 and 2793 + 0 = 2793
4. If the grouping of addends is changed, the sum remains the same. It is called the
grouping property of addition.
example: (35,000 + 60,000) + 9500 = 1,04,500

35,000 + (60,000 + 9500) = 1,04,500
(35,000 + 9500) + 60,000 = 1,04,500

Sum of Consecutive numbers

Numbers that follow one another in order without skipping any number are called

consecutive numbers.
1. Sum of 2 consecutive numbers.

examples: (a) 1 + 2 = 3 (b) 2 + 3 = 5 (c) 3 + 4 = 7
2. Sum of 3 consecutive numbers.

examples: (a) 1 + 2 + 3 = 6 (b) 2 + 3 + 4 = 9 (c) 3 + 4 + 5 = 12
3. Sum of 4 consecutive numbers.
examples: (a) 1 + 2 + 3 + 4 = 10 (b) 2 + 3 + 4 + 5 = 14 (c) 3 + 4 + 5 + 6 = 18

It is clear from the above examples:
 The difference between two successive sums for Fast Check

2 consecutive odd numbers is 2.
 The difference between two successive sums for What will be the difference
3 consecutive odd numbers is 3. between two successive
 The difference between two successive sums for sums for:
4 consecutive odd numbers is 4. (a) 5 consecutive numbers

Let us see some more interesting patterns in sums. (b) 6 consecutive numbers

1 + 2 + 3 = 6 2 + 3 + 4 = 9 3 + 4 + 5 = 12

4 6 8
 The sum of 3 consecutive numbers is equal to 3 times the middle number.

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