← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 989 · 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.What is 1/5 − (−5/6)? (a) 6/11 (b) −31/30 (c) 31/30 (d) −19/30
  2. 2.What is (−1/2) + 3/8? (a) 1/5 (b) −7/8 (c) −1/8 (d) 1/8
  3. 3.Which is bigger: −5/7 or −1/8? (a) −5/7 (b) −1/8
  4. 4.What is (−5/7) + (−5/6)? (a) 5/42 (b) −10/13 (c) −65/42 (d) 65/42
  5. 5.What is (−5/9) + 1/8? (a) −49/72 (b) −4/17 (c) −31/72 (d) 31/72
  6. 6.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −3/5 (b) −9/15 (c) 3/5 (d) −5/3
  7. 7.What is (−1/2) − (−1/4)? (a) −3/4 (b) 0 (c) 1/4 (d) −1/4
  8. 8.Is −2/5 positive or negative? (a) Positive (b) Negative
  9. 9.What is the additive inverse of −7/9? (a) −7/9 (b) 9/7 (c) −9/7 (d) 7/9
  10. 10.What is (−7/9) − 5/8? (a) −11/72 (b) −101/72 (c) −12/17 (d) 101/72
  11. 11.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) −5/40 (b) −1/8 (c) −8/1 (d) 1/8
  12. 12.Is 3/8 positive or negative? (a) Negative (b) Positive
  13. 13.Is −7/2 positive or negative? (a) Negative (b) Positive
  14. 14.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  15. 15.What is the additive inverse of −3/4? (a) 3/4 (b) −3/4 (c) 4/3 (d) −4/3
  16. 16.Which is smaller: −2/5 or −1/2? (a) −1/2 (b) −2/5
  17. 17.Which is smaller: −2/7 or −1/5? (a) −2/7 (b) −1/5
  18. 18.What is (−1/4) + (−7/8)? (a) 5/8 (b) −2/3 (c) −9/8 (d) 9/8
  19. 19.Which is bigger: −7/8 or −6/7? (a) −7/8 (b) −6/7
  20. 20.What is the additive inverse of −7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  21. 21.What is 4/9 − (−1/2)? (a) −17/18 (b) −1/18 (c) 17/18 (d) 5/11
  22. 22.Which is smaller: −3/4 or 3/5? (a) −3/4 (b) 3/5
  23. 23.What is 1/5 − (−2/9)? (a) 3/14 (b) 19/45 (c) −19/45 (d) −1/45
  24. 24.What is (−1/4) − 7/8? (a) 9/8 (b) −2/3 (c) −9/8 (d) 5/8
  25. 25.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) −7 (c) 1/7 (d) −1/7
  26. 26.Write 15/(−40) in standard form (lowest terms, positive denominator). (a) −15/40 (b) 3/8 (c) −8/3 (d) −3/8
  27. 27.Which is smaller: −2/7 or −1/4? (a) −2/7 (b) −1/4
  28. 28.What is the reciprocal (multiplicative inverse) of −2/5? (a) −2/5 (b) 5/2 (c) −5/2 (d) 2/5
  29. 29.Which is smaller: −5/8 or 1/7? (a) 1/7 (b) −5/8
  30. 30.What is the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) −3/8 (c) 3/8 (d) −8/3
  31. 31.Which is smaller: −6/7 or −1/7? (a) −1/7 (b) −6/7
  32. 32.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) 8/9 (c) −8/9 (d) −9/8
  33. 33.Is 6/4 positive or negative? (a) Negative (b) Positive
  34. 34.What is the additive inverse of 5/8? (a) −8/5 (b) −5/8 (c) 5/8 (d) 8/5
  35. 35.Which is bigger: −4/7 or −3/5? (a) −3/5 (b) −4/7
  36. 36.Which is smaller: −5/7 or 8/9? (a) 8/9 (b) −5/7
  37. 37.Write −30/35 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −30/35 (c) −7/6 (d) −6/7
  38. 38.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  39. 39.What is the additive inverse of 1/9? (a) 1/9 (b) 9 (c) −9 (d) −1/9
  40. 40.What is (−5/9) − (−2/5)? (a) −7/45 (b) 7/45 (c) −3/14 (d) −43/45

Answer key

  1. 31/30
  2. −1/8
  3. −1/8
  4. −65/42
  5. −31/72
  6. −3/5
  7. −1/4
  8. Negative
  9. 7/9
  10. −101/72
  11. −1/8
  12. Positive
  13. Negative
  14. −3/2
  15. 3/4
  16. −1/2
  17. −2/7
  18. −9/8
  19. −6/7
  20. 7/8
  21. 17/18
  22. −3/4
  23. 19/45
  24. −9/8
  25. −7
  26. −3/8
  27. −2/7
  28. −5/2
  29. −5/8
  30. −8/3
  31. −6/7
  32. 9/8
  33. Positive
  34. −5/8
  35. −4/7
  36. −5/7
  37. −6/7
  38. Negative
  39. −1/9
  40. −7/45

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets