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Properties of addition

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Maths ch-1 rational numbers class 8th properties of additon .

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Properties of addition

  1. 1. Made by- Madhvi choudhary
  2. 2. 1. Rational numbers 2. Properties of addition 3. Closure property 4. Commutative property 5. Associative property 6. Existence of additive identity 7. Existence of additive inverse
  3. 3. A number which can be presented in p/q form, where p and q are integers q= 0 is called a Rational Number.
  4. 4. 1. Closure property. 2. Associative property. 3. Commutative property. 4. Existence of additive identity. 5. Existence of additive inverse.
  5. 5. If p/q and r/s are two rational number, then their sum will be also a rational number . For example- - 3 + 9 = -3 +9 =6 7 7 7 7
  6. 6. If p/q and r/s are two rational numbers, then p/r + r/s = r/s+ p/q, where p , q , r , s are integers and q , r are not equal to zero. Example= -2/9 + 5/9 = -2+5 = 3 9 9
  7. 7. If p/q , r/s , t/u are three rational number, then [p/q + r/s] + t/u = p/q + [r/s + t/u ] , where p , q , r , s ,t , u are integer and q , s , u are not equal to zero.
  8. 8. If p/q is a rational number, then there exist a rational number ‘0’, such that p/q + 0 = p/q = 0+ p/q, Where p and q are integer and q is not equal to zero. Additive identity is 0 (zero).
  9. 9. For a rational number p/q, there exist another rational number (-p/q),such that p/q + (-p/q) = 0 = (-p/q) + p/q Where p and q are integers, and q is not equal to zero. p/q and –p/q are additive inverse of each other.

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