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
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
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