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

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- 1. Made by- Madhvi choudhary
- 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. A number which can be presented in p/q form, where p and q are integers q= 0 is called a Rational Number.
- 4. 1. Closure property. 2. Associative property. 3. Commutative property. 4. Existence of additive identity. 5. Existence of additive inverse.
- 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. 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. 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. 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. 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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