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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 731 · 40 sums
TalentJR

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 smaller: −1/8 or −5/7? (a) −1/8 (b) −5/7
  2. 2.What is the additive inverse of −3/5? (a) −3/5 (b) −5/3 (c) 5/3 (d) 3/5
  3. 3.What is 7/8 − (−2/9)? (a) −79/72 (b) 9/17 (c) 47/72 (d) 79/72
  4. 4.What is the additive inverse of −5/9? (a) 5/9 (b) 9/5 (c) −5/9 (d) −9/5
  5. 5.What is the additive inverse of −2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  6. 6.Which is smaller: −4/5 or −1/3? (a) −1/3 (b) −4/5
  7. 7.What is (−1/3) − (−2/3)? (a) −1 (b) −1/3 (c) 1/3 (d) 1/6
  8. 8.What is (−2/7) + (−2/5)? (a) −24/35 (b) 4/35 (c) 24/35 (d) −1/3
  9. 9.Is −8/(−9) positive or negative? (a) Positive (b) Negative
  10. 10.Which is smaller: −6/7 or 5/7? (a) 5/7 (b) −6/7
  11. 11.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) −9/2 (c) 9/2 (d) 2/9
  12. 12.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) 4 (c) −1/4 (d) −4
  13. 13.Which is bigger: −5/7 or −5/6? (a) −5/6 (b) −5/7
  14. 14.Which is smaller: −1/3 or 2/3? (a) 2/3 (b) −1/3
  15. 15.What is 3/4 + (−3/4)? (a) 3/2 (b) 0
  16. 16.Which is bigger: −2/3 or 4/7? (a) −2/3 (b) 4/7
  17. 17.What is (−2/9) + 2/9? (a) 0 (b) −4/9
  18. 18.Is −2/(−7) positive or negative? (a) Positive (b) Negative
  19. 19.Which is bigger: −2/5 or 5/9? (a) −2/5 (b) 5/9
  20. 20.What is (−2/7) + 5/9? (a) 3/16 (b) −53/63 (c) −17/63 (d) 17/63
  21. 21.What is 8/9 + (−2/5)? (a) −22/45 (b) 22/45 (c) 58/45 (d) 3/7
  22. 22.Write −2/10 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −2/10 (c) 1/5 (d) −1/5
  23. 23.Write −6/21 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) 2/7 (d) −6/21
  24. 24.Which is bigger: −4/7 or 1/5? (a) −4/7 (b) 1/5
  25. 25.What is the reciprocal (multiplicative inverse) of −8/9? (a) 9/8 (b) −8/9 (c) −9/8 (d) 8/9
  26. 26.What is (−2/5) + 5/6? (a) 13/30 (b) −37/30 (c) −13/30 (d) 3/11
  27. 27.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) 7 (c) −1/7 (d) −7
  28. 28.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) −8 (c) 1/8 (d) −1/8
  29. 29.Write −30/54 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −5/9 (d) −30/54
  30. 30.What is the reciprocal (multiplicative inverse) of −7/8? (a) −7/8 (b) 8/7 (c) 7/8 (d) −8/7
  31. 31.What is 1/9 − (−8/9)? (a) −1 (b) −7/9 (c) 1/2 (d) 1
  32. 32.What is the reciprocal (multiplicative inverse) of −4/7? (a) 7/4 (b) 4/7 (c) −7/4 (d) −4/7
  33. 33.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 3/2 (c) −2/3 (d) 2/3
  34. 34.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −9/21 (b) −3/7 (c) 3/7 (d) −7/3
  35. 35.Write −6/54 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) 1/9 (d) −6/54
  36. 36.Write −25/45 in standard form (lowest terms, positive denominator). (a) −5/9 (b) 5/9 (c) −25/45 (d) −9/5
  37. 37.What is 1/7 − (−4/7)? (a) −3/7 (b) 5/7 (c) 5/14 (d) −5/7
  38. 38.What is 1/5 + (−4/5)? (a) −3/10 (b) 3/5 (c) 1 (d) −3/5
  39. 39.What is (−1/4) − 4/9? (a) 7/36 (b) −25/36 (c) 25/36 (d) −5/13
  40. 40.What is (−1/9) + 5/6? (a) 13/18 (b) −13/18 (c) 4/15 (d) −17/18

Answer key

  1. −5/7
  2. 3/5
  3. 79/72
  4. 5/9
  5. 2/5
  6. −4/5
  7. 1/3
  8. −24/35
  9. Positive
  10. −6/7
  11. 9/2
  12. 4
  13. −5/7
  14. −1/3
  15. 0
  16. 4/7
  17. 0
  18. Positive
  19. 5/9
  20. 17/63
  21. 22/45
  22. −1/5
  23. −2/7
  24. 1/5
  25. −9/8
  26. 13/30
  27. 7
  28. −8
  29. −5/9
  30. −8/7
  31. 1
  32. −7/4
  33. 3/2
  34. −3/7
  35. −1/9
  36. −5/9
  37. 5/7
  38. −3/5
  39. −25/36
  40. 13/18

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