← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 781 · 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 the additive inverse of −2/5? (a) 5/2 (b) 2/5 (c) −5/2 (d) −2/5
  2. 2.Is −5/(−3) positive or negative? (a) Negative (b) Positive
  3. 3.Which is bigger: −6/7 or −4/7? (a) −6/7 (b) −4/7
  4. 4.What is the additive inverse of −1/5? (a) 1/5 (b) −1/5 (c) −5 (d) 5
  5. 5.What is (−1/2) − 5/7? (a) −17/14 (b) −2/3 (c) 3/14 (d) 17/14
  6. 6.Which is bigger: −1/3 or −1/8? (a) −1/3 (b) −1/8
  7. 7.Which is smaller: −1/7 or −3/4? (a) −3/4 (b) −1/7
  8. 8.What is (−2/9) − 1/6? (a) 7/18 (b) −7/18 (c) −1/18 (d) −1/5
  9. 9.What is 2/5 − (−1/3)? (a) −11/15 (b) 11/15 (c) 1/15 (d) 3/8
  10. 10.What is (−5/9) − (−1/2)? (a) 1/18 (b) −19/18 (c) −4/11 (d) −1/18
  11. 11.What is (−3/8) + 6/7? (a) 27/56 (b) 1/5 (c) −27/56 (d) −69/56
  12. 12.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −3/18 (c) 1/6 (d) −1/6
  13. 13.What is the reciprocal (multiplicative inverse) of −5/8? (a) 8/5 (b) −5/8 (c) 5/8 (d) −8/5
  14. 14.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) −3/5 (c) 5/3 (d) 3/5
  15. 15.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) −30/42 (d) 5/7
  16. 16.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −6/8 (c) 3/4 (d) −3/4
  17. 17.Is 9/(−8) positive or negative? (a) Positive (b) Negative
  18. 18.Is 7/(−8) positive or negative? (a) Positive (b) Negative
  19. 19.What is 5/7 + (−3/8)? (a) 19/56 (b) 61/56 (c) 2/15 (d) −19/56
  20. 20.What is (−2/5) + (−2/5)? (a) −2/5 (b) 4/5 (c) 0 (d) −4/5
  21. 21.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) −5/7 (c) 7/5 (d) 5/7
  22. 22.Write −6/14 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −6/14 (d) −3/7
  23. 23.What is (−2/9) − 2/5? (a) −28/45 (b) −2/7 (c) 28/45 (d) 8/45
  24. 24.What is 7/9 + (−3/5)? (a) 62/45 (b) 8/45 (c) 2/7 (d) −8/45
  25. 25.What is the reciprocal (multiplicative inverse) of 5/9? (a) −9/5 (b) 9/5 (c) −5/9 (d) 5/9
  26. 26.Write −8/28 in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −7/2 (d) −8/28
  27. 27.What is the reciprocal (multiplicative inverse) of 8/9? (a) −8/9 (b) −9/8 (c) 9/8 (d) 8/9
  28. 28.What is the additive inverse of −3/4? (a) 4/3 (b) 3/4 (c) −4/3 (d) −3/4
  29. 29.What is (−3/8) − 1/4? (a) −5/8 (b) −1/3 (c) −1/8 (d) 5/8
  30. 30.Which is smaller: −8/9 or 1/5? (a) −8/9 (b) 1/5
  31. 31.Is 9/(−7) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−5/8) − (−8/9)? (a) −109/72 (b) 19/72 (c) −19/72 (d) 3/17
  33. 33.What is the reciprocal (multiplicative inverse) of −3/7? (a) −3/7 (b) −7/3 (c) 7/3 (d) 3/7
  34. 34.What is (−4/5) + 3/5? (a) −1/10 (b) −1/5 (c) −7/5 (d) 1/5
  35. 35.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) −1/5 (c) 5 (d) −5
  36. 36.Which is smaller: −3/5 or −4/7? (a) −4/7 (b) −3/5
  37. 37.What is the additive inverse of 5/9? (a) 9/5 (b) 5/9 (c) −9/5 (d) −5/9
  38. 38.What is (−1/8) − 1/6? (a) 7/24 (b) −1/7 (c) 1/24 (d) −7/24
  39. 39.What is the additive inverse of −5/9? (a) −9/5 (b) −5/9 (c) 5/9 (d) 9/5
  40. 40.Which is bigger: −3/5 or −7/8? (a) −3/5 (b) −7/8

Answer key

  1. 2/5
  2. Positive
  3. −4/7
  4. 1/5
  5. −17/14
  6. −1/8
  7. −3/4
  8. −7/18
  9. 11/15
  10. −1/18
  11. 27/56
  12. −1/6
  13. −8/5
  14. −5/3
  15. −5/7
  16. −3/4
  17. Negative
  18. Negative
  19. 19/56
  20. −4/5
  21. 7/5
  22. −3/7
  23. −28/45
  24. 8/45
  25. 9/5
  26. −2/7
  27. 9/8
  28. 3/4
  29. −5/8
  30. −8/9
  31. Negative
  32. 19/72
  33. −7/3
  34. −1/5
  35. −5
  36. −3/5
  37. −5/9
  38. −7/24
  39. 5/9
  40. −3/5

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