FTCE General Knowledge Math Practice Test

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Prepare for the FTCE General Knowledge Math Test with interactive quizzes and detailed explanations. This resource will enhance your math skills and boost your confidence before the exam. Conquer the test and excel in your teaching career!

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Which property states that a + b = b + a?

Identity property
Commutative property
Inverse property
Associative property

The correct answer is: Commutative property

The correct answer is the commutative property. This property indicates that when two numbers are added (or multiplied), the order in which the numbers are placed does not affect the sum (or product). Therefore, whether you write a + b or b + a, the result remains the same. The identity property pertains to an element that, when combined with a number (by addition or multiplication), leaves the number unchanged. For addition, that element is 0, since a + 0 = a. The inverse property refers to the way in which a number can be combined with its inverse (for addition, the inverse is the negative of that number) to yield the identity element, such that a + (-a) = 0. The associative property involves the grouping of numbers; it states that the way in which numbers are grouped when added or multiplied does not change the result. For example, (a + b) + c = a + (b + c). Understanding these different properties helps clarify their distinct roles in operations involving addition and multiplication.