Question

if a and b are integer,then which property is shown in a+b=b+a​

Answer 1

Answer:

in question we have given a and b are integers and a=b

so, a-b=b-a is the incorrect statement in given option

Because, we know .value of a and b are not equal then a-b and can not be equal

Answer 2

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