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.