Axioms /
Test Exam Questions With Correct Answers
/ // // // // //
What //are //all //the //axioms //of //the //real //numbers? //- //verified //answer(s)-
✔✔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? //- //verified //answer(s)-
✔✔If //a, //b, //and //c //are //real //numbers, //then //the //following //axioms //are //true
What //are //the //closure //axioms? //- //verified //answer(s)-✔✔CLO-A //and //CLO-
M //(closure //axiom //of //addition, //closure //axiom //of //multiplication)
What //is //the //closure //axiom //of //addition? //- //verified //answer(s)-
✔✔A+b=c, //where //C //is //a //unique //real //number
What //is //the //closure //axiom //of //multiplication? //- //verified //answer(s)-
✔✔Ab=c, //where //c //is //a //unique //real //number
What //are //the //Commutative //axioms? //- //verified //answer(s)-✔✔C-A //and //C-
M //(commutative //axiom //for //addition //and //commutative //axiom //for //multiplication)
What //is //the //commutative //axiom //for //addition? //- //verified //answer(s)-✔✔A //+ //b //= //b //+ //a
What //is //the //commutative //axiom //for //multiplication? //- //verified //answer(s)-✔✔Ab=ba
, What //are //the //associative //axioms? //- //verified //answer(s)-✔✔A-A //and //A-
M //(Associative //Axiom //for //addition, //Associative //axiom //for //multiplication)
What //is //the //associative //axiom //for //addition? //- //verified //answer(s)-
✔✔A //+ //(b //+ //c) //= //(a //+ //b) //+ //c
What //is //the //associative //axiom //for //multiplication? //- //verified //answer(s)-✔✔A(bc) //= //(ab)c
What //are //the //identity //axioms? //- //verified //answer(s)-✔✔ID-A //and //ID-
M //(identity //axiom //for //addition, //identity //axiom //for //multiplication)
What //is //the //identity //axiom //for //addition? //- //verified //answer(s)-
✔✔A //+ //0 //= //0 //+ //A //= //A, //where //0 //is //unique
What //is //the //identity //axiom //for //multiplication? //- //verified //answer(s)-
✔✔A(1) //= //1(a) //= //a, //where //1 //is //unique
IDENTITY //NOTE //1 //- //verified //answer(s)-✔✔0 //is //called //the //additive //identity //element
IDENTITY //NOTE //2 //- //verified //answer(s)-✔✔1 //is //called //the //multiplicative //identity //element
What //are //the //inverse //axioms? //- //verified //answer(s)-✔✔INV-A //and //INV-
M //(inverse //axiom //for //addition, //inverse //axiom //for //multiplication)
What //is //the //inverse //axiom //for //addition? //- //verified //answer(s)-✔✔A //+ //(-a) //= //(-
a) //+ //a //= //0 //where //-a //is //unique
Test Exam Questions With Correct Answers
/ // // // // //
What //are //all //the //axioms //of //the //real //numbers? //- //verified //answer(s)-
✔✔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? //- //verified //answer(s)-
✔✔If //a, //b, //and //c //are //real //numbers, //then //the //following //axioms //are //true
What //are //the //closure //axioms? //- //verified //answer(s)-✔✔CLO-A //and //CLO-
M //(closure //axiom //of //addition, //closure //axiom //of //multiplication)
What //is //the //closure //axiom //of //addition? //- //verified //answer(s)-
✔✔A+b=c, //where //C //is //a //unique //real //number
What //is //the //closure //axiom //of //multiplication? //- //verified //answer(s)-
✔✔Ab=c, //where //c //is //a //unique //real //number
What //are //the //Commutative //axioms? //- //verified //answer(s)-✔✔C-A //and //C-
M //(commutative //axiom //for //addition //and //commutative //axiom //for //multiplication)
What //is //the //commutative //axiom //for //addition? //- //verified //answer(s)-✔✔A //+ //b //= //b //+ //a
What //is //the //commutative //axiom //for //multiplication? //- //verified //answer(s)-✔✔Ab=ba
, What //are //the //associative //axioms? //- //verified //answer(s)-✔✔A-A //and //A-
M //(Associative //Axiom //for //addition, //Associative //axiom //for //multiplication)
What //is //the //associative //axiom //for //addition? //- //verified //answer(s)-
✔✔A //+ //(b //+ //c) //= //(a //+ //b) //+ //c
What //is //the //associative //axiom //for //multiplication? //- //verified //answer(s)-✔✔A(bc) //= //(ab)c
What //are //the //identity //axioms? //- //verified //answer(s)-✔✔ID-A //and //ID-
M //(identity //axiom //for //addition, //identity //axiom //for //multiplication)
What //is //the //identity //axiom //for //addition? //- //verified //answer(s)-
✔✔A //+ //0 //= //0 //+ //A //= //A, //where //0 //is //unique
What //is //the //identity //axiom //for //multiplication? //- //verified //answer(s)-
✔✔A(1) //= //1(a) //= //a, //where //1 //is //unique
IDENTITY //NOTE //1 //- //verified //answer(s)-✔✔0 //is //called //the //additive //identity //element
IDENTITY //NOTE //2 //- //verified //answer(s)-✔✔1 //is //called //the //multiplicative //identity //element
What //are //the //inverse //axioms? //- //verified //answer(s)-✔✔INV-A //and //INV-
M //(inverse //axiom //for //addition, //inverse //axiom //for //multiplication)
What //is //the //inverse //axiom //for //addition? //- //verified //answer(s)-✔✔A //+ //(-a) //= //(-
a) //+ //a //= //0 //where //-a //is //unique
