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Introduction of Rational Numbers
Before we start the introduction of rational numbers let us recall that for two given integers a and b, their sum a + b, product a × b and the difference a - b are always integers.
However, it may not always be possible for a given integer to exactly divide another given integer means the result of division of an integer by a non- zero integers may or may not be an integer. For example, when 9 is divided by 4, the result is not an integer since we know 9/4 is a fraction. Thus, there is need to extend the system of integers so that it may also be possible to divide any given integer by any other given integer different from zero (because division by zero is not possible).
Now, we shall introduce the system of rational numbers, comparison of rational numbers, representation of rational numbers on the number line, various operations on rational numbers and the properties of these operations on rational numbers.
● Rational Numbers
Introduction of Rational Numbers
Is Every Rational Number a Natural Number?
Is Every Rational Number an Integer?
Is Every Rational Number a Fraction?
Equivalent form of Rational Numbers
Rational Number in Different Forms
Properties of Rational Numbers
Lowest form of a Rational Number
Standard form of a Rational Number
Equality of Rational Numbers using Standard Form
Equality of Rational Numbers with Common Denominator
Equality of Rational Numbers using Cross Multiplication
Comparison of Rational Numbers
Rational Numbers in Ascending Order
Rational Numbers in Descending Order
Representation of Rational Numbers on the Number Line
Rational Numbers on the Number Line
Addition of Rational Number with Same Denominator
Addition of Rational Number with Different Denominator
Properties of Addition of Rational Numbers
Subtraction of Rational Number with Same Denominator
Subtraction of Rational Number with Different Denominator
Subtraction of Rational Numbers
Properties of Subtraction of Rational Numbers
Rational Expressions Involving Addition and Subtraction
Simplify Rational Expressions Involving the Sum or Difference
Multiplication of Rational Numbers
Properties of Multiplication of Rational Numbers
Rational Expressions Involving Addition, Subtraction and Multiplication
Reciprocal of a Rational Number
Rational Expressions Involving Division
Properties of Division of Rational Numbers
Rational Numbers between Two Rational Numbers
8th Grade Math Practice
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