The Field Axioms Flashcards
1
Q
if x and y are real numbers, then x+y is a unique real number
A
closure under addition
2
Q
closure under multiplication
A
you’ll always get the same answer
3
Q
x+y=y+x
A
commutativity for addition
4
Q
X x Y= Y x X
A
commutativity for multiplication
5
Q
(x+y) + z = x+(y+z)
A
Associativity for Addition
6
Q
x(y+z) = xz+zx
A
Distributive property of Multiplication over addition
7
Q
(xy)z = x(yz)
A
Associativity for multiplication
