Find two rational numbers of the form p-q between the numbers 0-2121121112-and 0-2020020002-

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Standard IX

Mathematics

Rational Numbers

Find two rati...

Question

Find two rational numbers of the form $\frac{p}{q}$ between the numbers 0.2121121112....and 0.2020020002....

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Solution

Required two Rational numbers between

0.2121121112.... and 0.202002002... are

$0.21 = \frac{21}{100}$ (since, 0.212112111>0.21>0.202002...)

$0.20 = \frac{212}{1000}$ (Since, 0.21211211>0.212>0.202002...)

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Find two rational numbers of the form pq between the numbers 0.2121121112....and 0.2020020002....

Required two Rational numbers between 0.2121121112.... and 0.202002002... are 0.21=21100 (since, 0.212112111>0.21>0.202002...) 0.20=2121000 (Since, 0.21211211>0.212>0.202002...)

Find two rational numbers of the form $\frac{p}{q}$ between the numbers 0.2121121112....and 0.2020020002....

Required two Rational numbers between

0.2121121112.... and 0.202002002... are

$0.21 = \frac{21}{100}$ (since, 0.212112111>0.21>0.202002...)

$0.20 = \frac{212}{1000}$ (Since, 0.21211211>0.212>0.202002...)