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Express each of the following numbers in...

Express each of the following numbers in the form `p/q` (i) 15.75 (ii) 8.0025 (iii) `-25. 6875`

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To express each of the given numbers in the form \( \frac{p}{q} \), we will follow a systematic approach for each number. ### (i) Expressing 15.75 in the form \( \frac{p}{q} \) 1. **Convert to Fraction**: Write 15.75 as a fraction by multiplying by 100 (to eliminate the decimal). \[ 15.75 = \frac{15.75 \times 100}{100} = \frac{1575}{100} \] ...
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RD SHARMA ENGLISH-NUMBER SYSTEM-All Questions
  1. Look at several examples of rational numbers in the form p/q(q!=0), ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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