Maharashtra State BoardSSC (English Medium) 9th Standard
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Choose the Correct Alternative Answer for the Question Given Below. - Algebra

MCQ

Choose the correct alternative answer for the question given below.

Decimal expansion of which of the following is non-terminating recurring ?

Options

  • `2/5`

  • `3/16`

  • `3/11`

  • `137/25`

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Solution

1) Since ,`5 = 2^0 xx 5^1` , which is in the form of `2^m xx 5^n`, where m and n are non - negative integers.

So, the decimal expansion of `2/5` is terminating.

2) Since , `16 = 2^4 xx 5^0`, which in the form of `2^m xx 5^n` , where m and n are non - negative integers.

So, the decimal expansion of `3/16` is terminating.

3) Since , `11 = 2^0 xx 5^0 xx 11^1`, which is not in the form of `2^m xx 5^n`, where m and n are non - negative integers.

So, the decimal expansion of `3/11` is non - terminatingrecurring. 

4) Since , `25 = 2^0 xx 5^2` , which is in the form of `2^m xx 5^n`, where m and n are non - negative integers.

So, the decimal expansion of `137/25` is terminating.

  Is there an error in this question or solution?
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APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 2 Real Numbers
Problem Set 2 | Q 1.03 | Page 34
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