मराठी

Write the following in decimal form and say what kind of decimal expansion has: 2/11 - Mathematics

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प्रश्न

Write the following in decimal form and say what kind of decimal expansion has:

`2/11`

बेरीज

उत्तर

Dividing 2 by 11, we get

`11)overline2.0000(0.1818......`
      -11    
       90
      -88    
       20
      -11    
       90
      -88    
        2

Here, the repeating block of digits is 18.

∴ `2/11` = 0.1818...

= `0.overline18`

Thus, the decimal expansion of `2/11` is non-terminating repeating.

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पाठ 1: Number Systems - Exercise 1.3 [पृष्ठ १४]

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एनसीईआरटी Mathematics [English] Class 9
पाठ 1 Number Systems
Exercise 1.3 | Q 1. (v) | पृष्ठ १४

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