← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 512 · 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 (−1/3) + 5/8? (a) −23/24 (b) 4/11 (c) −7/24 (d) 7/24
  2. 2.What is (−2/5) + (−4/7)? (a) −1/2 (b) −34/35 (c) 6/35 (d) 34/35
  3. 3.Which is smaller: −5/6 or 1/6? (a) −5/6 (b) 1/6
  4. 4.Which is smaller: −3/7 or 7/8? (a) 7/8 (b) −3/7
  5. 5.What is the additive inverse of −1/7? (a) −7 (b) −1/7 (c) 7 (d) 1/7
  6. 6.Is −3/8 positive or negative? (a) Positive (b) Negative
  7. 7.What is (−1/2) − 2/5? (a) −1/10 (b) −3/7 (c) −9/10 (d) 9/10
  8. 8.Which is smaller: −5/9 or 3/8? (a) 3/8 (b) −5/9
  9. 9.What is (−2/5) − (−1/2)? (a) −1/7 (b) −1/10 (c) 1/10 (d) −9/10
  10. 10.Write 5/(−10) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −5/10 (c) −2/1 (d) −1/2
  11. 11.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) 2/7 (c) −2/7 (d) −7/2
  12. 12.Is −9/4 positive or negative? (a) Negative (b) Positive
  13. 13.What is (−1/9) − 5/8? (a) −6/17 (b) 53/72 (c) −53/72 (d) 37/72
  14. 14.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) −2/5 (c) −5/2 (d) 5/2
  15. 15.Which is smaller: −8/9 or −7/9? (a) −8/9 (b) −7/9
  16. 16.Which is bigger: −5/7 or 7/8? (a) −5/7 (b) 7/8
  17. 17.What is (−1/3) + 3/4? (a) −13/12 (b) −5/12 (c) 2/7 (d) 5/12
  18. 18.What is (−1/4) + 2/5? (a) 1/9 (b) 3/20 (c) −3/20 (d) −13/20
  19. 19.Is −1/(−5) positive or negative? (a) Negative (b) Positive
  20. 20.What is the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) −3/8 (c) −8/3 (d) 3/8
  21. 21.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) −7/6 (c) 6/7 (d) −6/7
  22. 22.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) −1/8 (c) −8 (d) 1/8
  23. 23.What is (−5/9) − (−4/7)? (a) 1/63 (b) −1/16 (c) −71/63 (d) −1/63
  24. 24.Is 3/3 positive or negative? (a) Negative (b) Positive
  25. 25.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) 3/4 (c) −4/3 (d) −3/4
  26. 26.Which is bigger: −2/3 or −4/9? (a) −2/3 (b) −4/9
  27. 27.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) −8/5 (c) 5/8 (d) 8/5
  28. 28.Which is bigger: −1/2 or 2/3? (a) −1/2 (b) 2/3
  29. 29.Is 5/(−2) positive or negative? (a) Positive (b) Negative
  30. 30.Which is smaller: −1/7 or 1/2? (a) −1/7 (b) 1/2
  31. 31.What is (−3/7) − (−1/6)? (a) 11/42 (b) −2/13 (c) −11/42 (d) −25/42
  32. 32.Is 5/3 positive or negative? (a) Positive (b) Negative
  33. 33.Is 2/3 positive or negative? (a) Positive (b) Negative
  34. 34.What is (−4/9) − 2/3? (a) −1/2 (b) 2/9 (c) −10/9 (d) 10/9
  35. 35.What is (−3/5) + (−7/8)? (a) 59/40 (b) −10/13 (c) 11/40 (d) −59/40
  36. 36.What is (−7/9) + (−1/4)? (a) −8/13 (b) −37/36 (c) −19/36 (d) 37/36
  37. 37.What is the additive inverse of −1/6? (a) 6 (b) −1/6 (c) 1/6 (d) −6
  38. 38.What is the additive inverse of −3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3
  39. 39.Is −3/2 positive or negative? (a) Negative (b) Positive
  40. 40.Is −2/(−2) positive or negative? (a) Negative (b) Positive

Answer key

  1. 7/24
  2. −34/35
  3. −5/6
  4. −3/7
  5. 1/7
  6. Negative
  7. −9/10
  8. −5/9
  9. 1/10
  10. −1/2
  11. −2/7
  12. Negative
  13. −53/72
  14. 5/2
  15. −8/9
  16. 7/8
  17. 5/12
  18. 3/20
  19. Positive
  20. −8/3
  21. 7/6
  22. −8
  23. 1/63
  24. Positive
  25. −4/3
  26. −4/9
  27. 8/5
  28. 2/3
  29. Negative
  30. −1/7
  31. −11/42
  32. Positive
  33. Positive
  34. −10/9
  35. −59/40
  36. −37/36
  37. 1/6
  38. 3/8
  39. Negative
  40. Positive

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