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Find six rational numbers between 3 and ...

Find six rational numbers between 3 and 4

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There are infinite rational numbers between `'3'` and `'4`.'
To find `'6`' rational numbers between '`3' and '4`',
We will multiply and divide both the numbers `'3' and '4'` by `'(6 + 1) 7'`.
`'3 = 3 × 7/7 = 21/7`
`4 = 4 × 7/7` = `28/7'`
i.e., `'3 × (7/7) = 21/7'`
and, `'4 × (7/7) `= `28/7.'`
The numbers in between `'21/7' and '28/7'` will be rational and lie between `'3'` and `'4`
Answer
Hence, `'22/7', '23/7', '24/7', '25/7', '26/7', '27/7' ` are the '6' rational numbers between `'3'` and `'4'`.
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RD SHARMA-NUMBER SYSTEM-All Questions
  1. Is zero a rational number? Can you write it in the form p/q , where ...

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  2. Find five rational numbers between 1 and 2

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  3. Find six rational numbers between 3 and 4

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

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  5. Are the following statements true or false? Give reasons for your a...

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  6. Express 7/8 in the decimal form by long division method.

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  7. Convert (35)/(16) into decimal form by long division method.

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  8. Express (2157)/(625) in the decimal form.

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

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  10. Find the decimal representation of 8/3dot

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  11. Express 2/(11) as a decimal fraction.

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  12. Find the decimal representation of (-16)/(45)

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  13. Find the decimal expansion of 1/7

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  14. What can the maximum number of digits be in the repeating block of ...

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  15. Find the decimal representation of (22)/7

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

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

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

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

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

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