MATH : Properties of Integers

• Properties of Integers:

  Closure Property

  Commutative Property

  Associative Property

  Distributive Property

  Identity Property

  Inverse Property

  Zero Property
• CLOSURE PROPERTY - two integers are added or multiplied remain the same.

  ex: 7+2 = 9

  4 x 2 = 8
• COMMUTATIVE PROPERTY - changing order of two numbers being added or multiplied does not change the value.

  ex: 3+4 = 4+3 3 x 5 = 5 x 3

  7 = 7 15 = 15
• ASSOCIATIVE PROPERTY - changing the groupings of numbers that are being added or multiplied does not change the value.

  ex: (3+4) + 2 = 3 + (4+2) 3 x (5 x 2) = (3 x 5) x 2

  7 + 2 = 3 + 6 3 x 10 = 15 x 2

  9 = 9 30 = 30
• DISTRIBUTIVE PROPERTY - when two numbers have been added or subtracted and then multiplied by a factor, the result will be the same.

  ex: 2 (3+4) = 2 x 3 + 2 x 4

  2 (7) = 6 + 8

  14 = 14
• INVERSE PROPERTY - states that the sum of any number and its additive inverse zero.

  ex: 4+ (-4) = 0

  ( -7 ) + 7 = 0
• ZERO PROPERTY - the product of any number and zero is zero.

  ex: 8 x 0 = 0 (-9) x 0 = 0