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**Properties of Real Numbers**

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**Commutative Property of + or x**

2 3 = 3 2 Two numbers switch places. Associative Property of + or x 1 + (2 + 3) = (1 + 2) + 3 2 (3 5) = (2 3) 5 Three numbers, parenthesis move.

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**Distributive Property**

4 (2 + 3) = 4 3 Multiplication distributes over addition. Identity Properties of + or x 3 + 0 = 3 or 3 1 = 3 The same number is on the left and the right of the equal sign.

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**Inverse Properties of + or x**

The answer is either 0 for addition or 1 for multiplication. Multiplicative Property of Zero 5 x 0 = 0 A number times zero equals zero.

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