Identity property of addition states that the sum of zero and any number or variable is the number or variable itself.
For Example, 4 + 0 = 4, - 11 + 0 = - 11, y + 0 = y are few examples illustrating the identity property of addition.
Identity property of multiplication states that the product of 1 and any number or variable is the number or variable itself.
For Example, 4 x 1 = 4, - 11 x 1 = - 11, y x 1 = y are few examples illustrating the identity property of multiplication.
A. xy = yx
B. x + 0 = x
C. (x + y) + z = x + (y + z)
D. x + 1 = 1 + x
Correct Answer: B
Step 1: According to identity property of addition, the sum of a number and 0 is the number itself.
Step 2: Among the choices, the equation x + 0 = x illustrates identity property of addition.
Q1: Which equation illustrates the identity property of addition?
Q2: Which equation illustrates the identity property of multiplication?
Q: Why is zero called the additive identity?
A: Because adding zero to any number results in the same number.
Q: Why is one called the multiplicative identity?
A: Because multiplying any number by one results in the same number.