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Convert the following decimal number in ...

Convert the following decimal number in the form `p/q`
`5.bar(2)`
`23.bar(43)`

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RD SHARMA-NUMBER SYSTEM-All Questions
  1. Show that 1.272727....=1.bar27 can be expressed in the form p/q , whe...

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  2. Express 0. 001 as a fraction in the simplest form.

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  3. Convert the following decimal number in the form p/q 5.bar(2) 23.bar...

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  4. If 1/7=0. 142857 , write the decimal expression of 2/7,3/7,4/7,5/7a ...

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  5. Express the following decimals in the form p/q (i) 0. 3 2 (ii) 0. ...

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  6. Express each of the following mixed recurring decimals in the form p...

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  7. Show that 0. 2353535......=0.2bar35 can be expressed in the form p/q ...

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  8. Prove that sqrt(2) is not a rational number.

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  9. Prove that sqrt 3 is an irrational number.

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  10. Prove that sqrt(n) is not a rational number. if n is not a perfect squ...

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  11. Give examples of two irrational numbers the product of which is: (i)...

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  12. The product of sqrt(2)\ a n d\ sqrt(3) is sqrt(6) , which is an irrati...

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  13. Insert a rational and an irrational number between 2 and 3.

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  14. Find two irrational number between 2\ a n d\ 2. 5

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  15. Find two irrational numbers lying between sqrt(2)\ a n d\ sqrt(3)

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  16. Find two irrational numbers between 0. 12\ a n d\ 0. 13

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  17. Find two rational numbers between 0. 232332333233332 . . . and 0. 252...

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  18. Find the rational number and also an irrational number between the n...

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  19. Find one irrational number between the number a\ a n d\ b given below:...

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  20. Find three different irrational numbers between the rational numbers...

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