Math, asked by tusharbaudh7, 8 months ago


Write the decimal expansion of
 \frac{5}{11}

Is it terminating or non-terminating?

Answers

Answered by Mihir1001
19

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<font color="blue" size="5px"><b>Answer:</b></font>

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\huge\boxed{\fcolorbox{red}{#ffdfff}{0.45 [bar on 45 only]}}

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<font color="red" size="5px"><b>Step-by-step-explaination:</b></font>

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We have,

 \frac{5}{11}

 = 0.45454545......

 = 0.45

[bar on 45 only]

Thus, decimal expansion of  \frac{5}{11} is a non-terminating recurring number.

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Answered by Glorious31
1

\rm{ \frac{5}{11}}

\longrightarrow{\rm{ Dividing \:5\: with \:11 }}

\implies{\rm{ 0.\overline {45}}}

The number obtained is \rm{0.\overline {45}} which is a non terminating but recurring number.

Non terminating numbers :

Numbers whose decimal expansion never ends.

Eg : 0.9 , 123.456 , 2.13478920

Recurring numbers :

The decimal expansion has a single or a set of numbers repeating and they never end.

Eg : 2.142857 ---- 15/7

3.33333333 ---- 3/10

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