The decimal Expansion of an Irrational number is non-terminating non-recurring. A Rational Number is a number … NCERT Exercise-1.3(part1) Decimal Expansions 9 math. Before going into a representation of the decimal expansion of rational numbers, let us understand what rational numbers are. Decimal Expansion of Real Numbers - GeeksforGeeks. The decimal expansion of irrational numbers do . Common examples include the square root of two, the base of the natural logarithms e, and pi (3.14159.). 2: Identify each of the following as rational or irrational: (a) 0.58 3 ¯ (b) 0.475 (c) 3.605551275… Solution (a) 0.58 3 ¯ The bar above the 3 indicates that it repeats. does not stop and does not repeat, the number is irrational.

If the decimal form of a number stops or repeats, the number is rational. For example, consider the decimal representation of √2: Therefore, √2 = … 7.1: Rational and Irrational Numbers - Mathematics LibreTexts. When an irrational number is changed into a decimal, the resulting number is a nonterminating, nonrecurring decimal. Decimal Representation of Irrational Number. Decimal Expansion Of Rational Numbers|Decimal Expansion Of Irrational Numbers|Theorem|Questions|Summary.

Decimal Expansion Of Irrational Numbers|Theorem|Questions.

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