Maths Sutra by Gaurav Tekriwal

Author:Gaurav Tekriwal
Language: eng
Format: epub
ISBN: 9789385890260
Publisher: Penguin Books Ltd
Published: 2015-12-11T16:00:00+00:00

Sometimes, the digits repeat in groups like this,

These decimals occur whenever the denominator of the fraction has prime numbers other than 2 or 5, such as 3, 7, 11 and 13 as factors.

2. Non-recurring decimals

A non-recurring decimal occurs whenever the denominator of a fraction has 2 or 5 as factors. Unlike recurring decimals, these terminate after a certain number of digits. A point to note here is that every 2, 5 or 10 in the denominator gives rise to one significant digit in the decimal.

For example, and all terminate after one significant digit in the decimal.

Similarly, and all terminate after two significant digits in the decimal.

3. Non-recurring and unending decimals

Let’s now understand a non-recurring and unending decimal. This basically occurs when the numbers are irrational.

This occurs for example in irrationals such as

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