Properties of Rational Numbers

Closure: sum/product of two rationals is always rational. Commutative: a+b=b+a, a×b=b×a. Associative: (a+b)+c=a+(b+c). Distributive: a(b+c)=ab+ac. Additive identity: 0 (a+0=a). Multiplicative identity: 1 (a×1=a). Additive inverse of p/q is -p/q. Multiplicative inverse (reciprocal) of p/q is q/p.