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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 242 · 40 sums
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The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.Which is bigger: −3/8 or −3/4? (a) −3/4 (b) −3/8
  2. 2.Is 3/(−5) positive or negative? (a) Negative (b) Positive
  3. 3.What is (−1/5) − 2/9? (a) −19/45 (b) 19/45 (c) 1/45 (d) −3/14
  4. 4.What is the additive inverse of 3/5? (a) −5/3 (b) 5/3 (c) −3/5 (d) 3/5
  5. 5.What is 7/8 + (−7/9)? (a) 7/72 (b) 0 (c) 119/72 (d) −7/72
  6. 6.What is (−1/2) + 5/8? (a) 2/5 (b) −1/8 (c) −9/8 (d) 1/8
  7. 7.Which is smaller: −2/7 or −5/9? (a) −2/7 (b) −5/9
  8. 8.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −1/4 (d) −2/8
  9. 9.Which is bigger: −1/9 or −1/8? (a) −1/8 (b) −1/9
  10. 10.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −5/45 (b) 1/9 (c) −9/1 (d) −1/9
  11. 11.Write −15/21 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −5/7 (d) −15/21
  12. 12.Is −6/4 positive or negative? (a) Positive (b) Negative
  13. 13.What is the additive inverse of −5/8? (a) −5/8 (b) 8/5 (c) −8/5 (d) 5/8
  14. 14.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −4/18 (b) −9/2 (c) 2/9 (d) −2/9
  15. 15.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −6/36 (d) −1/6
  16. 16.What is the reciprocal (multiplicative inverse) of −1/8? (a) −8 (b) 8 (c) 1/8 (d) −1/8
  17. 17.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) 1/3 (c) −1/3 (d) −3
  18. 18.Is 5/(−8) positive or negative? (a) Positive (b) Negative
  19. 19.Is −8/(−5) positive or negative? (a) Negative (b) Positive
  20. 20.What is 8/9 + (−4/7)? (a) 1/4 (b) −20/63 (c) 20/63 (d) 92/63
  21. 21.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −3/6 (c) −1/2 (d) −2/1
  22. 22.What is the reciprocal (multiplicative inverse) of −1/4? (a) −1/4 (b) 4 (c) −4 (d) 1/4
  23. 23.Is 9/6 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−8/9) − (−1/4)? (a) −7/13 (b) 23/36 (c) −41/36 (d) −23/36
  25. 25.What is (−1/7) − 3/7? (a) 4/7 (b) 2/7 (c) −2/7 (d) −4/7
  26. 26.Is −9/6 positive or negative? (a) Positive (b) Negative
  27. 27.What is (−1/8) − 1/5? (a) −2/13 (b) 13/40 (c) 3/40 (d) −13/40
  28. 28.Is −1/8 positive or negative? (a) Negative (b) Positive
  29. 29.What is 1/9 − (−5/6)? (a) −13/18 (b) 17/18 (c) 2/5 (d) −17/18
  30. 30.Which is smaller: −1/9 or −3/5? (a) −3/5 (b) −1/9
  31. 31.Write −4/24 in standard form (lowest terms, positive denominator). (a) −4/24 (b) −1/6 (c) −6/1 (d) 1/6
  32. 32.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −4/20 (c) −1/5 (d) −5/1
  33. 33.What is (−7/9) + (−1/3)? (a) −2/3 (b) 10/9 (c) −4/9 (d) −10/9
  34. 34.What is (−2/5) − (−1/4)? (a) −13/20 (b) 3/20 (c) −3/20 (d) −1/9
  35. 35.What is the additive inverse of −4/9? (a) −4/9 (b) −9/4 (c) 9/4 (d) 4/9
  36. 36.Write −6/16 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −6/16 (c) −3/8 (d) −8/3
  37. 37.Which is bigger: −1/4 or −1/5? (a) −1/5 (b) −1/4
  38. 38.Which is smaller: −3/5 or 5/6? (a) 5/6 (b) −3/5
  39. 39.Is 2/(−7) positive or negative? (a) Negative (b) Positive
  40. 40.Which is smaller: −3/5 or −1/9? (a) −3/5 (b) −1/9

Answer key

  1. −3/8
  2. Negative
  3. −19/45
  4. −3/5
  5. 7/72
  6. 1/8
  7. −5/9
  8. −1/4
  9. −1/9
  10. −1/9
  11. −5/7
  12. Negative
  13. 5/8
  14. −2/9
  15. −1/6
  16. −8
  17. −3
  18. Negative
  19. Positive
  20. 20/63
  21. −1/2
  22. −4
  23. Positive
  24. −23/36
  25. −4/7
  26. Negative
  27. −13/40
  28. Negative
  29. 17/18
  30. −3/5
  31. −1/6
  32. −1/5
  33. −10/9
  34. −3/20
  35. 4/9
  36. −3/8
  37. −1/5
  38. −3/5
  39. Negative
  40. −3/5

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