The properties of adding integers are discussed here along with the examples.
1. The addition (sum) of any two integers is always an integer.
For example:
(i) 5 + 9 = 14 ∈ Z
(ii) (5) + 9 = 4 ∈ Z
(iii) (5) + (9) = 14 ∈ Z
(iv) 5 + (9) = 4 ∈ Z and so on.
2. For any two integers ‘a’ and ‘b’; a + b = b + a
For example:
(i) (+3) + (+8) = (+8) + (+3)
(ii) (7) + (+3) = (+3) + (7)
(iii) (9) + (3) = (3) + (9)
(iv) (+5) + (3) = (+5) + (3) and so on.
3. For any three integers ‘a’ ‘b’ and ‘c’; a + (b + c) = (a + b) + c
For example:
(i) (+5) + [(2) + (+3)] = [(+5) + (2)] + (+3)
(ii) (3) + [(4) + (5)] = [(3) + (4)] + (5)
(iii) (+4) + [(+2) + (+3)] = [(+4) + (+2)] + (+3)
(iv) (2) + [(+3) + (4)] = [(2) + (+3)] + (4)
(v) (4) + [(3) + (+5)] = [(4) + (3)] + (+5)
(vi) (+3) + [(+4) + (2)] = [(+3) + (+4)] + (2)
(vii) (3) + [(2) + (7)] = [(3) + (2)] + (7)
(viii) 9 + [(4) + (2)] = [9 + (4)] + (2) and so on.
4. For any integer ‘a’; a + 0 = 0 + a = a
For example:
(i) (+7) + 0 = 0 + (+7) = +7
(ii) (11) + 0 = 0 + (11) = 11
(iii) 0 + (+9) = (+9) + 0 = +9
(iv) 0 + (5) = (5) + 0 = 5 and so on.
5. Any integer + its negative = 0 i.e., a + (a) = 0
For example:
(i) 5 + (5) = 0
(ii) (7) + 7 = 0 and so on.
Numbers Page
6th Grade Page
From Properties of Adding Integers to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
