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Look at several examples of rational num...

Look at several examples of rational numbers in the form `p/q(q!=0),` where `p\ a n d\ q` are integers with no common factors other than 1 and having terminating decimal representations. Can you guess what property `q` must satisfy?

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RD SHARMA ENGLISH-NUMBER SYSTEM-All Questions
  1. Express the following rational numbers as decimals: (i)(42)/(100) ...

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  2. Express the following rational numbers as decimals: 2/3

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  3. Look at several examples of rational numbers in the form p/q(q!=0), ...

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  4. Express each of the following numbers in the form p/q (i)0.15 (ii...

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  5. Express each of the following numbers in the form p/q (i) 15.75 (ii...

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  6. Express each of the following decimals in the form p/q: (i) 0. 1 (...

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  7. Express each of following decimals in the form p/q (i) 0. bar4 (ii)0....

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

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

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

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

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

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

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

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

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

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

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

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

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

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