**COMMUTATIVE PROPERTY**– you can add or multiply numbers in any order and still get the same answer. It allows us to change the ORDER of the numbers.

**ASSOCIATIVE PROPERTY– ** you can change the GROUPING of numbers when adding and multiplying and still get the same number.

**ADDITIVE IDENTITY PROPERTY– ** you can add zero to any number without changing that number. The additive identity = 0

** MULTIPLICATIVE IDENTITY PROPERTY–** you can multiply any number by one and not change the number. The multiplicative identity = 1.

**ADDITIVE INVERSE PROPERTY –** The sum of any number and its opposite is zero.

**MULTIPLICATIVE INVERSE PROPERTY–** The product of any number and its reciprocal is one.

**DISTRIBUTIVE PROPERTY–** Multiplication spreads over addition and subtraction.

**ZERO PROPERTY–** The product of any number and zero is zero.

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