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Express the following rational numbers a...

Express the following rational numbers as decimals:
(i)`2/3`
(ii) `-4/9`
(iii) `(-2)/(15)`
(iv)`-(22)/(13)`
(v) `(437)/(999)`
(vi) `(33)/(26)`

Text Solution

Verified by Experts

(i)` 2/3 = 0.66.....`
(ii)` - 4/9 = -(0.444....)`
(iii) `−2/15 = -(0.133....)`
(iv)` - 22/13 = -1.692307692307.`.
(v) `437/999 = 0.437437.......`
(vi) `33/26` =`1.2692307692307`.....
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RD SHARMA-NUMBER SYSTEM-All Questions
  1. Find the decimal representation of (22)/7

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  2. Express the following rational numbers as decimals: (42)/(100) ...

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  3. Express the following rational numbers as decimals: (i)2/3 (ii) -4/9 ...

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

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  5. Express each of the following numbers in the form p/q 0.15 (ii) 0....

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  6. Express each of the following numbers in the form p/q 15.75 (ii) 8...

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  7. Express each of the following decimals in the for p/q 1)0. 1 (ii...

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

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  9. Express each of the following decimals in the for p/q 0. 35 (ii)...

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  10. Show that 1.272727....=1.bar27 can be expressed in the form p/q , whe...

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

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

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

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

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

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

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

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  18. Prove that sqrt 3 is an irrational number.

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

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

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