Which property states that the sum of any number and zero is the number?

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Study for the GACE Elementary Education II Test. Prep with flashcards and multiple-choice questions, each with hints and explanations. Get ready for your exam!

Multiple Choice

Which property states that the sum of any number and zero is the number?

Explanation:
Zero serves as the additive identity in arithmetic, meaning that adding zero to any number leaves that number unchanged. The statement that the sum of any number and zero is the number reflects this idea directly: for any value a, a + 0 = a. For example, 8 + 0 = 8 or -3 + 0 = -3. This is different from the multiplicative identity property, which says multiplying by one keeps a number the same, not adding zero. The distributive property describes how multiplication distributes over addition, and closure is about the result staying within the same number system. So the described property is the additive identity because zero does not alter a value when added.

Zero serves as the additive identity in arithmetic, meaning that adding zero to any number leaves that number unchanged. The statement that the sum of any number and zero is the number reflects this idea directly: for any value a, a + 0 = a. For example, 8 + 0 = 8 or -3 + 0 = -3.

This is different from the multiplicative identity property, which says multiplying by one keeps a number the same, not adding zero. The distributive property describes how multiplication distributes over addition, and closure is about the result staying within the same number system. So the described property is the additive identity because zero does not alter a value when added.

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