# Laws of Algebra for Rational Numbers

We will discuss about the Laws of algebra for rational numbers.

If a ∈ Q, b ∈ Q, c ∈ Q, where Q is the set of rational numbers then

(i) a + b ∈ Q

(ii) a + b = b + a

(iii) (a + b) + c = a + (b + c)

(iv) a + (-a) = 0, -a being the negative rational of a

(v) a × b ∈ Q

(vi) a × b = b × a

(vii) a × (b × c) = (a × b) × c

(viii) a × (b + c) = a × b + a × c (Distributive law)

(ix) a × b = b × c ⟹ a = 0 or b = c (Cancellation law)

Rational Numbers

Rational Numbers

﻿Decimal Representation of Rational Numbers

Rational Numbers in Terminating and Non-Terminating Decimals

Recurring Decimals as Rational Numbers

Laws of Algebra for Rational Numbers

Comparison between Two Rational Numbers

Rational Numbers Between Two Unequal Rational Numbers

Representation of Rational Numbers on Number Line

Problems on Rational numbers as Decimal Numbers

Problems Based On Recurring Decimals as Rational Numbers

Problems on Comparison Between Rational Numbers

Problems on Representation of Rational Numbers on Number Line

Worksheet on Comparison between Rational Numbers

Worksheet on Representation of Rational Numbers on the Number Line