What is the identity property of addition?

• A. a + 1 = a
• B. a + 0 = a
• C. a + a = 2a
• D. a + (-a) = 0

Answer: (B)

The identity property of addition states that when you add zero to any number, the result is that same number. This means if you take a number, say "a", and add zero to it, you still have "a". In mathematical terms, this is represented as a + 0 = a. The concept here is that zero acts as an "identity element" in addition, meaning it does not change the value of the number it is added to.

This property is foundational in arithmetic and algebra, as it confirms that zero does not affect the total when added to any number, highlighting its unique role in the number system. Recognizing this property is crucial for solving equations and understanding functions involving addition.