Which equation shows the identity property of addition? $\newline$ Choices: $\newline$ (A) $(d + f) + g = d + (f + g)$ $\newline$ (B) $d = 0 + d$ $\newline$ (C) $g = d + f$ $\newline$ (D) $d + f = f + g$

Full solution

Q. Which equation shows the identity property of addition?

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Choices:

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(A)

(d + f) + g = d + (f + g)

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(B)

d = 0 + d

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(C)

g = d + f

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(D)

d + f = f + g

Understand Identity Property: Understand the identity property of addition. The identity property of addition states that any number plus zero is the number itself. This means that adding $0$ to a number does not change its value.
Examine Choices: Examine each choice to see which one represents the identity property of addition. $\newline$ (A) $(d + f) + g = d + (f + g)$ - This is the associative property of addition, not the identity property.
Check Remaining Choices: Continue examining the choices. $\newline$ (B) $d = 0 + d$ - This choice shows that adding zero to $d$ gives us $d$ , which is an example of the identity property of addition.
Conclude Correct Choice: Check the remaining choices for completeness. $\newline$ (C) $g = d + f$ - This is just an equation and does not show the identity property. $\newline$ (D) $d + f = f + d$ - This is the commutative property of addition, not the identity property.
Conclude Correct Choice: Check the remaining choices for completeness. $\newline$ (C) $g = d + f$ - This is just an equation and does not show the identity property. $\newline$ (D) $d + f = f + d$ - This is the commutative property of addition, not the identity property.Conclude which choice correctly represents the identity property of addition. $\newline$ From the examination in the previous steps, choice (B) correctly shows the identity property of addition.