1.

Properties of Real Numbers

Answer»

Real numbers follow certain basic properties:

For all x, y, z and r belonging to R, (i.e., for any real number x, y, z and r),

  •  x + y = y + x (Commutative property of addition)
  •  (x + y) + z = x + (y + z) (Associative property of addition)
  •  x × y = y × x (Commutative property of multiplication)
  •  (x + y) x z = x * ( y x z) (Associative property of multiplication)
  • x * ( y x z) = (x x y) + (x x z) (Distributive property of addition over multiplication)
  • If x = z and y = r, then

a) x + y = z + r (Addition of equals)

b) x × y = z × r (Multiplication of equals)

c) x – y = z − r (Subtraction of equals)

d) x/y=z/r    (Division of equals)



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