P 2.2

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