# 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.

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.