Q. Which equation shows the identity property of addition?Choices:(A) (d+f)+g=d+(f+g)(B) d=0+d(C) g=d+f(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.(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.(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.(C) g=d+f - This is just an equation and does not show the identity property.(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.(C) g=d+f - This is just an equation and does not show the identity property.(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.From the examination in the previous steps, choice (B) correctly shows the identity property of addition.
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