# Whole Integers Numbers

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Integers numbers are both positive numbers and negative numbers and which can be represented on the number line.

Properties of addition of integers:
1.    The addition (sum) of any two integers is always an integer.

Example: -i) 3 + 8 = 11
ii)  (- 3) + 8 = 5
iii)  (- 3) + (- 8) = -11
iv)   3 + (- 8) = - 5 and so on.

2.  For any two integers ‘a’ and ‘b’, a + b = b + a.

Example: -i)  (+ 3) + (+ 7) = (+ 7) + (+ 3)
ii) (- 8) + (+ 4) = (+ 4) + (- 8)
iii)(- 6) + (- 5) = (- 5) + (- 6) and so on.

3. For any three integers ‘a’, ‘b’ and ‘c’.    a + (b + c) = (a + b) + c

Example: -i)  (- 3) + [(2) + (7)] = [(- 3) + (2)] + (7)
ii) 18 + [(- 5) + (- 12)] = [18 + (- 5) + (- 12)] and so on.

4.  For any integer ‘a’, a + 0 = 0 + a = a
Example: -
i)(+ 5) + 0 = 0 + (+ 5) = + 5
ii) (- 13) + 0 = 0 + (- 13) = - 13 and so on.

5. The sum of an integer and its negative is always zero. i.e., a + (- a) = 0

Example: -i) 3 + (- 3) = 0
ii) (- 9) + 9 = 0 and so on.