Q. 3
Answer the given questions.
If a and b are integers, then which property is shown in a + b = b + a
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The property is shown in a+b=b+a is the Commutative Property of Addition.
1) The commutative property of addition states that while adding any of the two numbers in any order that won't affect the final answer of the addition.
2) In the given question a and b are integers so the can be positive or negative:
Case 1: If a is positive and b is positive
a+b = b+a
Case 2: If a is positive and b is negative
a+(-b) = a-b
(-b)+a = -b+a = a-b
LHS = RHS
Case 3: If a is negative and b is positive
(-a)+b = -a+b
b+(-a) = b-a = -a+b
LHS = RHS
Case 4: If a is negative and b is negative
(-a)+(-b) = -a-b
(-b)+(-a) = -b-a = -a-b
LHS = RHS
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