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Write each of the following integers as ...

Write each of the following integers as a rational number. Write the numerator and the denominator in each case.
(i) 5
(ii) -3
(iii) 1
(iv) 0
(v) -23

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The correct Answer is:
To convert each of the given integers into rational numbers, we need to express them in the form of \( \frac{p}{q} \), where \( p \) is the numerator and \( q \) is the denominator. The denominator must not be zero. Let's solve each part step by step: ### Solution Steps: 1. **Convert 5 to a rational number:** - We can write \( 5 \) as \( \frac{5}{1} \). - Here, the numerator \( p = 5 \) and the denominator \( q = 1 \). 2. **Convert -3 to a rational number:** - We can write \( -3 \) as \( \frac{-3}{1} \). - Here, the numerator \( p = -3 \) and the denominator \( q = 1 \). 3. **Convert 1 to a rational number:** - We can write \( 1 \) as \( \frac{1}{1} \). - Here, the numerator \( p = 1 \) and the denominator \( q = 1 \). 4. **Convert 0 to a rational number:** - We can write \( 0 \) as \( \frac{0}{1} \). - Here, the numerator \( p = 0 \) and the denominator \( q = 1 \). 5. **Convert -23 to a rational number:** - We can write \( -23 \) as \( \frac{-23}{1} \). - Here, the numerator \( p = -23 \) and the denominator \( q = 1 \). ### Final Answers: - (i) \( 5 \) as \( \frac{5}{1} \) (Numerator: 5, Denominator: 1) - (ii) \( -3 \) as \( \frac{-3}{1} \) (Numerator: -3, Denominator: 1) - (iii) \( 1 \) as \( \frac{1}{1} \) (Numerator: 1, Denominator: 1) - (iv) \( 0 \) as \( \frac{0}{1} \) (Numerator: 0, Denominator: 1) - (v) \( -23 \) as \( \frac{-23}{1} \) (Numerator: -23, Denominator: 1)
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RS AGGARWAL-RATIONAL NUMBERS-EXERCISE 4A
  1. Which of the following are rational numbers? (i) frac(5)(-8) (ii) ...

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  2. Write down the numerator and the denominator of each the of the follow...

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  3. Write each of the following integers as a rational number. Write the n...

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  4. Which of the following are positive rational numbers? (i) frac(3)(-5...

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  5. Which of the following are negative rational number? (i) frac(-15)(-...

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  6. Find four rational number equivalent to each of the following. (i) f...

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  7. Write each of the following as a rational number with positive denomin...

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  8. Express frac(5)(8) as a rational number with numerator (i) 15, (ii...

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  9. Express frac(4)(7) as a rational number with denominator (i) 21, (...

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  10. Express frac(-12)(13) as a rational number with numerator (i) -48, ...

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  11. Express frac(-8)(11) as a rational number with denominator (i) 22, ...

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  12. Express frac(14)(-5) as a rational number with numerator (i) 56, (...

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  13. Express frac(13)(-8) as a rational number with denominator (i) -40, ...

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  14. Express frac(-36)(24) as a rational number with numerator (i) -9, ...

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  15. Express frac(84)(-147) as a rational number with denominator (i) 7, ...

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  16. Write each of the following rational number in standard form: (i) fr...

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  17. Fill in the blanks: (i) frac(-9)(5)=frac(....)(20)=frac(27)(....)=fr...

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  18. Which of the following are pairs of equivalent rational numbers? (i)...

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  19. Find x such that: (i) frac(-1)(5)=frac(8)(x) (ii) frac(7)(-3)=frac...

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  20. Which of the following rational number are equal? (i) frac(8)(-12)("...

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