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If 1/7=0. 142857 , write the decimal e...

If `1/7=0. 142857 ` , write the decimal expression of `2/7,3/7,4/7,5/6a n d6/7` without actually doing the long division.

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AI Generated Solution

To find the decimal expressions of \( \frac{2}{7}, \frac{3}{7}, \frac{4}{7}, \frac{5}{7}, \) and \( \frac{6}{7} \) using the decimal expansion of \( \frac{1}{7} = 0.142857 \), we can follow these steps: ### Step 1: Find \( \frac{2}{7} \) We know that: \[ \frac{2}{7} = 2 \times \frac{1}{7} \] Given \( \frac{1}{7} = 0.142857 \), we can multiply this by 2: ...
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RD SHARMA-NUMBER SYSTEM-All Questions
  1. Find 10 rational numbers between (-3)/11 and 8/11 by mean method.

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

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

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  4. Convert the following decimal number in the form p/qdot 5. bar2 (ii)...

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  5. Express 0. 0bar01 as a fraction in the simplest form.

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  6. Find the decimal representation of 8/3dot

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  7. Express -(17)/8 in decimal form by long division method.

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

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

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  10. Represent 5/3a n d(-5)/3 one the number line

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  11. Represent 5/3a n d\ \ (-8)/5\ on the number line

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  12. Find a rational number between 2 and 6.

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  13. Find a rational number between -2/3\ a n d1/4

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  14. Find three rational numbers between -2\ a n d\ 5

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  15. Insert 10 rational numbers between (-3 )/(11) a n d (13)/11

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  16. Insert 100 rational numbers between (-3)/(13)\ \ a n d\ 9/(13)

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  17. Is zero a rational number? Can you write it in the form p/q , where ...

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  18. Find five rational numbers between 1 and 2

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  19. Find six rational numbers between 3 and 4

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  20. Find four rational numbers between 3/5 and 4/5.

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