Answer:
Commutative Property of Addition: a + b = b + a
Step-by-step explanation:
The Commutative Property of Addition implies that even on changing the order of addition the final result (i.e. the sum) remains the same.
- Consider the addition of two numbers, say <em>a</em> and <em>b</em>:
a + b = b + a
Suppose <em>a</em> = 5 and <em>b</em> = 6, then:
<em>a</em> + <em>b</em> = 5 + 6 = 11
<em>b</em> + <em>a</em> = 6 + 5 = 11.
Thus, a + b = b + a.
- Consider the addition of three numbers, say <em>a, b</em> and <em>c</em>:
a + b + c= a + c + b = b + a + c = c + a + b
Suppose <em>a</em> = 4, <em>b</em> = 3 and <em>c</em> = 6, then:
a + b + c = 4 + 3 + 6 = 13
a + c + b = 4 + 6 + 3 = 13
b + a + c = 3 + 4 + 6 = 13
c + a + b = 6 + 4 + 3 = 13.
Thus, a + b + c= a + c + b = b + a + c = c + a + b.
