Question

1/11in decimal form and decimal expansion​

Answer 1

Answer:

0.09 bar = decimal form

non-terminating recurring decimal expansion

Step-by-step explanation:

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Answer 2

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Decimal form of 1/11

$\frac{1}{11} = \frac{100}{11} \times \frac{1}{100}$

$= (9 + \frac{1}{11} ) \times \frac{1}{100}$

$= \frac{9}{100} \times \frac{1}{1100}$

$\frac{1}{11} - \frac{9}{100} = \frac{9}{1100}$

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Fraction with denominator 10000

$\frac{1}{11} = \frac{10000}{11} \times \frac{1}{10000}$

$\dfrac{1}{11} - \frac{909}{10000} = \frac{1}{110000}$

• The Fraction with denominator 10000 and closer to 1/11

$\dfrac{1}{11} = \dfrac{9}{100} = \dfrac{1}{1100}$

$\frac{1}{11} = \frac{909}{1000} = \frac{1}{110000}$

$\frac{1}{11} = \frac{9009}{1000000} = \frac{1}{11000000}$

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$\frac{9}{100} = 0.09$

$\frac{909}{10000} = 0.0909$

$\frac{9009}{1000000} = 0.090909$

Then,

$\frac{1}{11} = 0.0909090909...........$