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Exam (elaborations)

axiom math quiz with complete solutions

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closure under addition if x and y are real number, then x+y is a unique, real number. closure under multiplication if x and y are real number, then xy is a unique, real number. Previous Play Next Rewind 10 seconds Move forward 10 seconds Unmute 0:00 / 0:15 Full screen Brainpower

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Institution
Axiom
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September 3, 2024
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axiom math quiz with complete solutions


closure under addition - ANSWER- if x and y are real number, then x+y is a
unique, real number.

closure under multiplication - ANSWER- if x and y are real number, then xy is a
unique, real number.

closure axiom - ANSWER- when you add or multiply real numbers, the answer is
a real number

commutative axioms - ANSWER- when you reverse the order of the two numbers
in a product or sum, the answer is the same

commutative axiom of addition - ANSWER- 2+3=3+2

associative axioms - ANSWER- have to do with reversing the order of the two
numbers in sum or product

associative axiom for addition - ANSWER- you can associate the terms in a sum
in any way without changing the value of the expression

associative axiom for addition - ANSWER- (x+y)+z=x+(y+z)

associative axiom for multiplication - ANSWER- (xy)z=x(yz)

identity axioms - ANSWER- have to do with adding 0 or multiplying by 1.

inverse axioms - ANSWER- numbers that add to give 0 or multiply to give 1

distributive axiom - ANSWER- relates multiplication and addition

distributive axiom for multiplication over addition - ANSWER- x(y+z)=xy+xz

identity property of addition - ANSWER- x+0=x

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