मराठी

Write the following in decimal form and say what kind of decimal expansion has: 111 - Mathematics

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प्रश्न

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

`1/11`

बेरीज

उत्तर

Dividing 1 by 11, we have

`11)overline1.00000(0.090909 .........`
      - 0     
      10
     -00     
     100
     -99     
      10
     -00     
     100
    -99     
     10
    -00     
    100
    -99     
      1

∴ `1/11` = 0.090909...

= `0.overline0.9`

Thus, the decimal expansion of `1/11` 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. (ii) | पृष्ठ १४

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