Which property states that the product of any number and one 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 product of any number and one is the number?

Explanation:
Multiplicative identity property: the number 1 acts as an identity for multiplication, so multiplying any number by 1 yields that same number. For example, 8 × 1 = 8, and in general x × 1 = x for any number x. This is distinct from the additive identity property (adding 0 leaves a number unchanged), the distributive property (a(b + c) = ab + ac), and the reflexive property (a = a).

Multiplicative identity property: the number 1 acts as an identity for multiplication, so multiplying any number by 1 yields that same number. For example, 8 × 1 = 8, and in general x × 1 = x for any number x. This is distinct from the additive identity property (adding 0 leaves a number unchanged), the distributive property (a(b + c) = ab + ac), and the reflexive property (a = a).

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