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pick the answer that is an example of the identity property of addition…

Question

pick the answer that is an example of the identity property of addition
a + b = b + a
1 + 1 = 2
a + 0 = a
a + (-a) = 0

Explanation:

Step1: Recall identity property of addition

The identity element for addition is 0. When any number \(a\) is added to 0, the result is \(a\).

Step2: Analyze each option

  • \(a + b=b + a\) is the commutative - property of addition.
  • \(1 + 1 = 2\) is a simple addition calculation, not an identity - related property.
  • \(a+0 = a\) is the identity property of addition as adding 0 to \(a\) gives \(a\) back.
  • \(a+( - a)=0\) is the inverse property of addition.

Answer:

\(a + 0=a\)