Exam (elaborations)
AXIOMS QUESTIONS AND ANSWERS
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AXIOMS QUESTIONS AND ANSWERS
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Name: Score:24 Multiple choice questions
Definition 1 of 24
If a=b and c=d then a+c=b+d
Transitive Property of Equality
Multiplication Property of Equlaity
Addition Property of Equality
Addition Axiom of Inequality (>)
Definition 2 of 24
a=a
Identity Axiom of Addition
Reflexive Axiom of Equality
Commutative Axiom of Addition
Commutative Axiom of Multiplication
Definition 3 of 24
a(b+c)=ab+ac
Commutative Axiom of Addition
Associative Axiom of Addition
Distributive Axiom
Associative Axiom of Multiplication
,Definition 4 of 24
ab=ba
Commutative Axiom of Multiplication
Commutative Axiom of Addition
Associative Axiom of Multiplication
Reflexive Axiom of Equality
Definition 5 of 24
a(1)=(1)a=a, where 1 is unique
Addition Axiom of Inequality (>)
Identity Axiom of Addition
Identity Axiom of Multiplication
Inverse Axiom of Multiplication
Definition 6 of 24
If a>b and b>c then a>c
Transitive Property of Equality
Transitive Axiom of Inequality (>)
Multiplication Property of Equlaity
Addition Axiom of Inequality (>)
Definition 7 of 24
If a<b and c>0 then ac<bc
If a<b and c>0 then ac>bc
Transitive Axiom of Inequality (>)
Multiplication Axiom of Inequality (<)
Multiplication Property of Equlaity
Multiplication Axiom of Inequality (>)
, Definition 8 of 24
a(bc)=(ab)c
Associative Axiom of Addition
Commutative Axiom of Addition
Commutative Axiom of Multiplication
Associative Axiom of Multiplication
Definition 9 of 24
a+b=c, where c is a unique real number
Inverse Axiom of Addition
Closure Axiom of Multiplication
Closure Axiom of Addition
Identity Axiom of Addition
Definition 10 of 24
a+0=0+a=a, where 0 is unique
Inverse Axiom of Addition
Identity Axiom of Addition
Identity Axiom of Multiplication
Closure Axiom of Addition
Definition 11 of 24
ab=c, where c is a unique real number
Closure Axiom of Multiplication
Inverse Axiom of Addition
Inverse Axiom of Multiplication
Closure Axiom of Addition
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