This is the basic and conceptual question from real numbers chapter in which we have to give the definition of rational number, irrational number and real number.

RS Aggarwal, Class 10, chapter 1D, question no 1

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(i) rational numberThe rational numbers are numbers which can be expressed as a fraction and also as positive numbers, negative numbers and zero. It can be written as p/q, where q is not equal to zero.

(ii) irrational numbers

The numbers which are not a rational number are called irrational numbers. Now, let us elaborate, irrational numbers could be written in decimals but not in fractions which means it cannot be written as the ratio of two integers.

Irrational numbers have endless non-repeating digits after the decimal point.

(iii) real numbers

## The real numbers include all the rational numbers, such as the integer âˆ’5 and the fraction 4/3, and all the irrational numbers, such asÂ 2â€‹Â (1.41421356…, the square root of 2, an irrational algebraic number).