Axiom Quiz with Complete Questions and Answers (Graded A)

Axiom Quiz with Complete
Questions and Answers (Graded
A)
Axioms of Closure - ANSWER - a & b= set of Real numbers
a + b= set of real numbers
a x b= set of real numbers


Commutative Axiom of Addition - ANSWER - a + b= b + a


Commutative Axiom of Multiplication - ANSWER - a x b= b x a


Associative Axiom of Addition - ANSWER - a + (b + c)= (a + b) + c


Associative Axiom of Multiplication - ANSWER - a (bc)= (ab) c


Reflexive Axiom - ANSWER - anything equal to itself: x=x


Symmetric Axiom - ANSWER - order of equality doesn't matter: if a=b then b=a


Transitive Axiom - ANSWER - if a=b and b=c, then a=c


Property of Opposites in Products - ANSWER - -b x a= -a x b


Axiom of multiplicative inverses - ANSWER - 1/a x a = 1


Property of the Reciprocal - ANSWER - 1/a x a = 1