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Show that 1. 272727=1. bar27 can be ex...

Show that `1. 272727=1. bar27 ` can be expressed in the form `p/q ,` where `p\ a n d\ q` are integers and `q!=0.`

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In each of the following, fill in the blanks so as to make the statement true: A number which can be expressed in the form p/q ,\ where p\ and \ q are integers and q is not equal to zero, is called a.... If the integers p\ a n d\ q have no common divisor other than 1 and q is positive, then the rational number p/q is said to be in the ... Two rational numbers are said to be equal, if they have the same ....form.

RD SHARMA ENGLISH-NUMBER SYSTEM-All Questions
  1. Express each of following decimals in the form p/q (i) 0. bar4 (ii)0....

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  2. Express each of the following decimals in the form p/q (i) 0. 35 ...

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  3. Show that 1. 272727=1. bar27 can be expressed in the form p/q , wher...

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  4. Express 0. bar001 as a fraction in the simplest form.

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  5. Convert the following decimal number in the form p/q i) 5.2¯ (ii) 23....

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

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

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

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  9. Show that 0. 2353535 dot=0. 2 35 can be expressed in the form p/q ,\...

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

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  11. Prove that sqrt(3) is an a irrational number.

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

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  13. Give examples of two irrational numbers the product of which is: a ...

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

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

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

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

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

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  19. Find two rational numbers between 0. 232332333233332..... and 0. 2525...

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

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