To determine which property of addition states that the sum of a number and zero is that number, let’s review each of the given properties:
1. Associative Property: This property states that the way in which numbers are grouped in addition does not change their sum. For example, (a + b) + c = a + (b + c). This property explains the grouping of numbers, not the addition involving zero.
2. Identity Property: This property of addition states that any number added to zero will result in the same number. For example, a + 0 = a. This means that zero is the "identity" element in addition because it does not change the value of the number it is added to.
3. Zero Property: While this term might seem relevant, it is not a standard mathematical property in the context of basic addition. It is not commonly used to describe the sum of a number and zero.
4. Commutative Property: This property states that the order of the numbers in addition does not change their sum. For example, a + b = b + a. This property deals with the order of addition and not specifically with the addition involving zero.
Based on these definitions, the correct answer is the Identity Property, which states that the sum of a number and zero is that number.
Therefore, the correct answer is:
Identity
