# Interesting Facts about Rational Numbers

August 8, 2022
• Rational numbers are closed under the operations of addition, subtraction and multiplication
• The operations addition and multiplication are
1. Commutative for rational numbers
2. 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.
Article Categories:
Class 8th Maths · Class 8th Maths (Eng)
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