The decimal expansion of an irrational number begins

MATHEMATICS · Single correct · CBSE · Mathematics · Number Systems · Number Systems

Problem

The decimal expansion of an irrational number begins 2.236…2.236\ldots. To mark this number correct to two decimal places on a finely graduated number line, between which two consecutive points should the mark be placed? (a) Between 2.242.24 and 2.252.25 (b) Between 2.252.25 and 2.262.26 (c) Between 2.232.23 and 2.242.24 (d) Between 2.262.26 and 2.272.27

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