Solved Examples on Commutative Law of Addition
Example 1: Prove that x + y = y + x if x = 10 and y = 20.
Solution:
LHS = x + y
x + y = 10 + 20
x + y = 30
RHS = y + x
y + x = 20 + 10
y + x = 30
x + y = y + x
LHS = RHS
Hence Proved
Example 2: Prove the Commutative Law of Addition if p = 14 and q = -23.
Solution:
Commutative Law of Addition: p + q = q + p
LHS = p + q
p + q = 14 + (-23)
p + q = -9
RHS = q + p
q + p = (-23) + 14
q + p = -9
p + q = q + p
LHS = RHS
Hence Proved
Example 3: Prove that u + v = v + u if u = -34 and v = -9.
Solution:
LHS = u + v
u + v = (-34) + (-9)
u + v = -43
RHS = v + u
v + u = (-9) + (-34)
v + u = -43
u + v = v + u
LHS = RHS
Hence Proved
Commutative Law of Addition
Commutative law of addition states that if two numbers are added then the result is equal to the addition of their interchanged position. In this article we will explore the commutative law of addition, commutative law for addition representation, and commutative law for addition examples. We will also solve some examples related to the commutative law of addition. Let’s start our learning on the topic “Commutative Law for Addition.”