NOW ENROLLING FOR TEST SERIES I.C.S.E. 2023 -24 STD VIII IX AND X

STD IX – PURE ARITHMETICS- (Online)

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RATIONAL AND IRRATIONAL NUMBERS

RATIONAL NUMBERS

Rational numbers are real numbers that can be expressed as a fraction where the numerator and the denominator of the fraction are both integers. This includes all whole numbers (for example, 3 be written as 3/1) and all finite or recurring decimals.

Rational Numbers

Any number which can be put in the form of pqwhere p and q are integers and q not equal to zero is called a rational number.

There exist an infinite number of rational numbers between any two rational numbers

For example, in between 7 and 7.5 there exist 7.1, 7.11, 7.21, etc.)

A fraction is a rational number only when it is in its lowest form, i.e., there is no common factor other than 1 in the numerator (p) and denominator (q)

Algebraic operations on rational numbers

Sum of two rational numbers is a rational number

Difference of two rational numbers is a rational number

Product of two rational numbers is a rational number

Quotient of two rational numbers is a rational number

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RATIONAL NUMBERS AND IRRATIONAL NUMBERS

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