Math, asked by venki3001976, 6 months ago

Write the decimal form of the following rational numbers 1/11

Answers

Answered by mello2006
15

Answer:

Ans= 0.09090909.......

It is non terminating and reccuring

(reccuring means repeating)

Step-by-step explanation:

look at the image above for the steps

Hope this helps you.... have a great day :)

Attachments:
Answered by AmoliAcharya
3

Given: rational numbers 1/11

To find: Here we have to find the decimal form for that

Step by step solution:

we will divide the given equation by

\frac{1}{11}

$\begin{align}  & 11\overset{0.090909....}{\overline{\left){1.00000000}\right.}} \\  & -\,\,\,\,\,\,99\, \\  & -------- \\  & \,\,\,\,\,\,\,\,\,\,\,\,100 \\  & -\,\,\,\,\,\,\,\,\,\,\,\,\,99 \\  & --------- \\  & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,100 \\  & -\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,99 \\  & ---------- \\  & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,1 \\ \end{align}$

Here we get

\frac{1}{11}=0.0909

Final answer hence the decimal form is 0.0909

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