Axioms Test 2024 Questions and Answers (Graded A)

Axioms Test 2024 Questions and
Answers (Graded A)
What are all the axioms of the real numbers? - ANSWER - Closure axioms,
commutative axioms, associative axioms, identity axioms, inverse axioms, and the
distributive axiom


What is the note for all axioms of the real numbers? - ANSWER - If a, b, and c are
real numbers, then the following axioms are true


What are the closure axioms? - ANSWER - CLO-A and CLO-M (closure axiom of
addition, closure axiom of multiplication)


What is the closure axiom of addition? - ANSWER - A+b=c, where C is a unique real
number


What is the closure axiom of multiplication? - ANSWER - Ab=c, where c is a unique
real number


What are the Commutative axioms? - ANSWER - C-A and C-M (commutative axiom
for addition and commutative axiom for multiplication)


What is the commutative axiom for addition? - ANSWER - A + b = b + a


What is the commutative axiom for multiplication? - ANSWER - Ab=ba


What are the inverse axioms? - ANSWER - INV-A and INV-M (inverse axiom for
addition, inverse axiom for multiplication)


What is the identity axiom for addition? - ANSWER - A + 0 = 0 + A = A, where 0 is
unique