Rational Numbers | Speed Notes

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Rational numbers are closed under the operations of addition, subtraction and multiplication, But not in division. (Scroll down to continue …)

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The operations addition and multiplication are
(i) commutative for rational numbers.

(ii) associative for rational numbers.

The rational number 0 is the additive 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
is if a/b is c/d if (a/b)(c/d) =1

Distributive property of rational numbers:

For all rational numbers a, b and c, a(b + c) = ab + ac
and 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.

Positive Rationals: Numerator and Denominator both are either positive or negative.

Example: 2/3, -4/-5

Positive Rationals: Numerator and Denominator both are either positive or negative.

Example: -2/3, 4/-5

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