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P 2.2
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Cards (18)
Binary operation
Joining two values to create a new one
Binary operations
Addition
Subtraction
Multiplication
Division
Closure property
The sum or product of any two real numbers is also a real number
Commutative property
For any two real numbers x and y, x+y = y+x, and x*y = y*x
Associative property
For any three real numbers x, y and z, (x+y)+z = x+(y+z), and (x*y)*z = x*(y*z)
Identity property
For any real number x, x+0 = x, and x*1 = x
Distributive property
For any three real numbers x, y and z, x(y+z) = xy + xz
Inverse of addition
For any real number x, x+(-x) = 0
Inverse of multiplication
For any real number x, x*(1/x) = 1
The word "
binary
" means composition of
two
pieces
A
binary operation
refers to joining two values to create a new one
The
closure
property states that the sum or product of any two real numbers is also a real number
The
commutative
property states that for any two real numbers x and y, x+y = y+x, and x*y = y*x
The
associative
property states that for any three real numbers x, y and z, (x+y)+z = x+(y+z), and (x*y)*z = x*(y*z)
The
identity
property states that for any real number x, x+0 = x, and x*1 = x
The
distributive
property states that for any three real numbers x, y and z, x(y+z) = xy + xz
The
inverse
of
addition
is that for any real number x, x+(-x) = 0
The
inverse
of
multiplication
is that for any real number x, x*(1/x) = 1