MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems
Problem
A real number has the non-terminating, non-recurring decimal expansion 0.737189… . Locate this number on the number line up to five decimal places.
(i) After taking the first, second, third, fourth and fifth decimal places, write the corresponding closed intervals that contain the required point.
(ii) By successively magnifying the relevant portion of the number line, mark the point that represents the number correct to five decimal places.
(iii) Explain why the number located in part (ii) is irrational.