- Rational numbers are closed under the operations of addition, subtraction and multiplication
- The operations addition and multiplication are
- Commutative for rational numbers
- Associative for rational numbers

- The rational number 0 is the additive identity for rational numbers
- The rational number 1 is the multiplicative identity for rational numbers
- The additive inverse of the rational number a/b is -a/b and vice-versa
- The reciprocal or multiplicative inverse of the rational number a/b is c/d if a/b x c/d = 1
- Distributivity of rational numbers: For all rational numbers a, b, and c, a(b + c) = ab + ac, a(b – c) = ab – ac
- Rational numbers can be represented on a number line
- Between any two given rational numbers, there are countless rational numbers. The idea of mean helps us to find rational numbers between two rational numbers.

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