Properties of addition and subtraction of integers

Operations on Integers

  • Addition
  • Subtraction
  • Multiplication
  • Division.

Properties of Addition and Subtraction of Integers

  • Closure under Addition
  • a + b and a – b are integers, where a and b are any integers.
  • Commutativity Property
  • a + b = b + a for all integers a and b.
  • Associativity of Addition
  • (a + b) + c = a + (b + c) for all integers a, b and c.
  • Additive Identity
  • Additive Identity is 0, because adding 0 to a number leaves it unchanged.
  • a + 0 = 0 + a = a for every integer a.
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