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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 447 · 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.Is 9/(−9) positive or negative? (a) Positive (b) Negative
  2. 2.What is 4/5 − (−5/8)? (a) 7/40 (b) 57/40 (c) −57/40 (d) 9/13
  3. 3.Which is bigger: −1/4 or 4/7? (a) −1/4 (b) 4/7
  4. 4.What is 3/4 − (−1/8)? (a) 7/8 (b) −7/8 (c) 5/8 (d) 1/3
  5. 5.What is (−4/7) + 1/5? (a) −27/35 (b) 13/35 (c) −1/4 (d) −13/35
  6. 6.Is −3/5 positive or negative? (a) Positive (b) Negative
  7. 7.Which is bigger: −5/6 or −4/9? (a) −5/6 (b) −4/9
  8. 8.What is (−2/3) − (−1/9)? (a) 5/9 (b) −7/9 (c) −1/12 (d) −5/9
  9. 9.Is −1/2 positive or negative? (a) Negative (b) Positive
  10. 10.Is −9/7 positive or negative? (a) Negative (b) Positive
  11. 11.Which is bigger: −1/5 or 2/9? (a) −1/5 (b) 2/9
  12. 12.Which is smaller: −1/7 or 5/6? (a) −1/7 (b) 5/6
  13. 13.What is the reciprocal (multiplicative inverse) of 1/5? (a) −5 (b) 1/5 (c) 5 (d) −1/5
  14. 14.Write −21/24 in standard form (lowest terms, positive denominator). (a) −21/24 (b) −8/7 (c) −7/8 (d) 7/8
  15. 15.Which is bigger: −1/2 or −5/9? (a) −5/9 (b) −1/2
  16. 16.Which is bigger: −1/5 or −1/6? (a) −1/5 (b) −1/6
  17. 17.Which is smaller: −5/8 or 3/7? (a) −5/8 (b) 3/7
  18. 18.Which is bigger: −3/4 or 5/6? (a) −3/4 (b) 5/6
  19. 19.What is (−1/5) + (−5/7)? (a) −32/35 (b) −1/2 (c) 18/35 (d) 32/35
  20. 20.What is (−1/6) + 5/8? (a) 2/7 (b) −11/24 (c) −19/24 (d) 11/24
  21. 21.Which is bigger: −4/5 or −7/8? (a) −4/5 (b) −7/8
  22. 22.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 5/3 (c) −5/3 (d) 3/5
  23. 23.What is (−1/9) − 4/7? (a) 43/63 (b) −5/16 (c) 29/63 (d) −43/63
  24. 24.What is (−5/6) − (−1/6)? (a) −1 (b) 2/3 (c) −1/3 (d) −2/3
  25. 25.What is the additive inverse of −4/7? (a) −7/4 (b) −4/7 (c) 7/4 (d) 4/7
  26. 26.Is 9/2 positive or negative? (a) Positive (b) Negative
  27. 27.Is 8/(−2) positive or negative? (a) Positive (b) Negative
  28. 28.What is (−7/9) + (−4/9)? (a) −1/3 (b) 11/9 (c) −11/18 (d) −11/9
  29. 29.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) −4 (c) −1/4 (d) 4
  30. 30.What is (−2/9) + 3/5? (a) −17/45 (b) −37/45 (c) 1/14 (d) 17/45
  31. 31.What is (−3/5) − (−1/9)? (a) −22/45 (b) −32/45 (c) 22/45 (d) −1/7
  32. 32.Is −2/3 positive or negative? (a) Negative (b) Positive
  33. 33.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) −9/2 (c) 2/9 (d) −2/9
  34. 34.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) 4/3 (c) 3/4 (d) −3/4
  35. 35.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) −40/45 (b) −9/8 (c) −8/9 (d) 8/9
  36. 36.Is 4/6 positive or negative? (a) Positive (b) Negative
  37. 37.Is −4/(−2) positive or negative? (a) Negative (b) Positive
  38. 38.Which is bigger: −1/2 or 1/5? (a) 1/5 (b) −1/2
  39. 39.What is the additive inverse of −1/8? (a) −8 (b) −1/8 (c) 8 (d) 1/8
  40. 40.What is (−4/7) + 4/7? (a) −8/7 (b) 0

Answer key

  1. Negative
  2. 57/40
  3. 4/7
  4. 7/8
  5. −13/35
  6. Negative
  7. −4/9
  8. −5/9
  9. Negative
  10. Negative
  11. 2/9
  12. −1/7
  13. 5
  14. −7/8
  15. −1/2
  16. −1/6
  17. −5/8
  18. 5/6
  19. −32/35
  20. 11/24
  21. −4/5
  22. −5/3
  23. −43/63
  24. −2/3
  25. 4/7
  26. Positive
  27. Negative
  28. −11/9
  29. 4
  30. 17/45
  31. −22/45
  32. Negative
  33. −9/2
  34. −4/3
  35. −8/9
  36. Positive
  37. Positive
  38. 1/5
  39. 1/8
  40. 0

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