Rational Numbers | Study

Mind Map

Overal Idea

Content

Speed Notes

Quick Coverage

Rational numbers are closed under the operations of addition, subtraction and multiplication, But not in division. (Scroll down till end of the page)

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

Key Terms

Topic Terminology

Term

Important Tables

Table:

.