The Commutative Property of Addition states that changing the order of addends does not change the sum, i.e. if a and b are two real numbers, then a + b = b + a.
Commutative property of addition holds true for matrices, i.e. if A and B are two matrices, then A + B = B + A.
As per the commutative property of addition, the expression 5 + 14 = 19 can be written as 14 + 5 = 19. Hence, 5 + 14 = 14 + 5.
As per the commutative property of addition, the expression 9 + (- 5) = 4 can be written as (- 5) + 9 = 4. Hence, 9 + (-5) = (- 5) + 9.
A. 3 + 7 = 2 + 8
B. 2 × 6 = 4 × 3
C. 8 + 5 = 5 + 8
D. 6 + 6 = 2 × 6
Correct Answer: C
Step 1: According to commutative property of addition, changing the order of addends does not change the sum.
Step 2: a + b = b + a [Commutative property.]
Step 3: So, the expression 8 + 5 = 5 + 8 represents the commutative property of addition.
Q1: Which expression demonstrates the commutative property of addition?
Q: Does the commutative property work with subtraction?
A: No, subtraction is not commutative. For example, 5 - 3 ≠ 3 - 5.
Q: Does it work with matrices?
A: Yes, the commutative property of addition holds true for matrices: A + B = B + A.