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Axioms Test 2024 Questions and Answers (Graded A)

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Axioms Test 2024 Questions and Answers (Graded A)Axioms Test 2024 Questions and Answers (Graded A)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, associati...

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  • September 3, 2024
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NursingTutor1
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

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