closure under addition - ANSWER- if x and y are real number, then x+y is a
unique, real number.
closure under multiplication - ANSWER- if x and y are real number, then xy is a
unique, real number.
closure axiom - ANSWER- when you add or multiply real numbers, the answer is
a real number
commutative axioms - ANSWER- when you reverse the order of the two numbers
in a product or sum, the answer is the same
commutative axiom of addition - ANSWER- 2+3=3+2
associative axioms - ANSWER- have to do with reversing the order of the two
numbers in sum or product
associative axiom for addition - ANSWER- you can associate the terms in a sum
in any way without changing the value of the expression
associative axiom for addition - ANSWER- (x+y)+z=x+(y+z)
associative axiom for multiplication - ANSWER- (xy)z=x(yz)
identity axioms - ANSWER- have to do with adding 0 or multiplying by 1.
inverse axioms - ANSWER- numbers that add to give 0 or multiply to give 1
distributive axiom - ANSWER- relates multiplication and addition
distributive axiom for multiplication over addition - ANSWER- x(y+z)=xy+xz
identity property of addition - ANSWER- x+0=x