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(i) -1 and 0

(ii) -2 and -1

(iii)\(\frac{-4}{5} \) and \(\frac{-2}{3} \)

(iv) \(\frac{1}{2} \) and \(\frac{2}{3} \)

Answer :

(i) The five rational numbers between -1 and 0 are,

-1< \(\frac{-1}{2} \) < \(\frac{-3}{4} \) < \(\frac{-4}{5} \) < \(\frac{-1}{3} \) < \(\frac{-1}{5} \) < 0< br>
(ii) The five rational numbers between -2 and -1 are,

-2 < \(\frac{-9}{8} \) , \(\frac{-9}{7} \) , \(\frac{-9}{6} \) , \(\frac{-8}{5} \) , \(\frac{-4}{3} \) < -1

(iii) The five rational numbers between -4/5 and -2/3 are,

-4/5= \(\frac{-4×6}{5×6} \) = \(\frac{-24}{30} \)

-2/3 = \(\frac{-2×10}{3×10} \) = \(\frac{-20}{30} \)

-4/5 < (-21/30) , (-22/30) , (-23/30) , (-16/15) , (-17/16) <-2/3

(iv) The five rational numbers between -1/2 and 2/3 are,

-1/2 < (-1/6) < (0) < (1/3) < (1/2) < (20/36) < 2/3

- Q.2 . Write four more rational numbers in each of the following patterns: (i) -3/5, -6/10, -9/15, -12/20, ….. (ii) -1/4, -2/8, -3/12, ….. (iii) -1/6, 2/-12, 3/-18, 4/-24 ….. (iv) -2/3, 2/-3, 4/-6, 6/-9 …..
- Q.3 Give four rational numbers equivalent to: (i) -2/7 (ii) 5/-3 (iii) 4/9
- Q.4 Draw a number line and represent the following rational numbers on it: (i) 3/4 (ii) -5/8 (iii) -7/4 (iv) 7/8
- Q.6 Which of the following pairs represent the same rational number? (i) \(\frac{-7}{21} \) and \(\frac{3}{9} \) (ii) \(\frac{-16}{20} \) and \(\frac{20}{-25} \) (iii)\(\frac{-2}{-3} \) and \(\frac{2}{3} \) (iv) \(\frac{-3}{5} \) and \(\frac{-12}{20} \) (v) \(\frac{8}{-5} \) and \(\frac{-24}{15} \) (vi) \(\frac{1}{3} \) and \(\frac{-1}{9} \) (vii) \(\frac{-5}{-9} \) and \(\frac{5}{-9} \)
- Q.5 The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.
- Q.7 Rewrite the following rational numbers in the simplest form: (i) \(\frac{-8}{6} \) (ii) \(\frac{-25}{45} \) (iii) \(\frac{-44}{72} \)
- Q.8 Fill in the boxes with the correct symbol out of >, (i) \(\frac{-5}{7} \) \(\square \) \(\frac{2}{3} \) (ii) \(\frac{-4}{5} \) \(\square \) \(\frac{-5}{7} \) (iii) \(\frac{-7}{8} \) \(\square \) \(\frac{-14}{16} \) (iv) \(\frac{-8}{5} \) \(\square \) \(\frac{-7}{4} \) (v) \(\frac{1}{-3} \) \(\square \) \(\frac{-1}{4} \) (vi) \(\frac{5}{-11} \) \(\square \) \(\frac{-5}{11} \) (vii)0 \(\square \) \(\frac{-7}{6} \)
- Q.9 Which is greater in each of the following: (i) \(\frac{2}{3} \) , \(\frac{5}{2} \) (ii) \(\frac{-5}{6} \) , \(\frac{-4}{3} \) (iii) \(\frac{-3}{4} \) , \(\frac{2}{-3} \) (iv) \(\frac{-1}{4} \) , \(\frac{1}{4} \) (v) \(-3\frac{2}{7} \) , \(-3\frac{4}{5} \)
- Q.10 Write the following rational numbers in ascending order: (i) -3/5, -2/5, -1/5 (ii) -1/3, -2/9, -4/3 (iii) -3/7, -3/2, -3/4

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