← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 384 · 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.Is 3/8 positive or negative? (a) Negative (b) Positive
  2. 2.Which is smaller: −7/8 or −4/5? (a) −7/8 (b) −4/5
  3. 3.Which is smaller: −1/6 or 1/5? (a) 1/5 (b) −1/6
  4. 4.What is the additive inverse of −1/5? (a) 1/5 (b) 5 (c) −5 (d) −1/5
  5. 5.What is the additive inverse of 1/6? (a) 1/6 (b) −6 (c) 6 (d) −1/6
  6. 6.Write −15/20 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −15/20 (c) −3/4 (d) 3/4
  7. 7.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  8. 8.What is 1/9 + (−7/9)? (a) −1/3 (b) 8/9 (c) −2/3 (d) 2/3
  9. 9.What is (−3/4) + (−3/4)? (a) −3/4 (b) 3/2 (c) 0 (d) −3/2
  10. 10.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) −5/3 (c) 5/3 (d) −3/5
  11. 11.What is the additive inverse of −2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  12. 12.Is 7/(−4) positive or negative? (a) Negative (b) Positive
  13. 13.Is 4/5 positive or negative? (a) Negative (b) Positive
  14. 14.What is the additive inverse of 3/7? (a) 7/3 (b) −7/3 (c) 3/7 (d) −3/7
  15. 15.What is the additive inverse of −1/3? (a) 3 (b) −3 (c) 1/3 (d) −1/3
  16. 16.Which is smaller: −2/9 or 1/3? (a) 1/3 (b) −2/9
  17. 17.What is the additive inverse of 4/9? (a) −9/4 (b) 9/4 (c) 4/9 (d) −4/9
  18. 18.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −5/15 (d) −1/3
  19. 19.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −2/1 (b) −4/8 (c) 1/2 (d) −1/2
  20. 20.What is the additive inverse of −8/9? (a) −9/8 (b) 9/8 (c) −8/9 (d) 8/9
  21. 21.What is (−4/7) − (−6/7)? (a) −10/7 (b) 1/7 (c) 2/7 (d) −2/7
  22. 22.What is the additive inverse of 2/9? (a) −9/2 (b) 2/9 (c) −2/9 (d) 9/2
  23. 23.What is (−5/8) − 3/4? (a) −11/8 (b) 1/8 (c) −2/3 (d) 11/8
  24. 24.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) −3/8 (c) 8/3 (d) 3/8
  25. 25.What is (−1/6) − (−4/5)? (a) 3/11 (b) 19/30 (c) −29/30 (d) −19/30
  26. 26.What is the additive inverse of 2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  27. 27.What is (−3/8) + (−4/5)? (a) 17/40 (b) −47/40 (c) −7/13 (d) 47/40
  28. 28.What is 5/6 + (−5/8)? (a) 5/24 (b) 0 (c) 35/24 (d) −5/24
  29. 29.What is (−1/4) − 7/8? (a) −9/8 (b) 9/8 (c) −2/3 (d) 5/8
  30. 30.What is (−1/3) + (−2/3)? (a) −1/2 (b) 1/3 (c) 1 (d) −1
  31. 31.What is (−5/7) + 7/9? (a) −4/63 (b) 4/63 (c) 1/8 (d) −94/63
  32. 32.What is (−8/9) + (−5/8)? (a) −109/72 (b) −13/17 (c) −19/72 (d) 109/72
  33. 33.Is 9/(−7) positive or negative? (a) Negative (b) Positive
  34. 34.What is (−2/9) − 1/6? (a) 7/18 (b) −1/18 (c) −7/18 (d) −1/5
  35. 35.Which is smaller: −2/5 or 1/8? (a) 1/8 (b) −2/5
  36. 36.Which is bigger: −5/6 or −1/2? (a) −5/6 (b) −1/2
  37. 37.What is 1/4 + (−7/9)? (a) 19/36 (b) −6/13 (c) 37/36 (d) −19/36
  38. 38.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −4/28 (c) −1/7 (d) 1/7
  39. 39.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −9/15 (c) 3/5 (d) −3/5
  40. 40.What is 2/5 + (−5/9)? (a) 43/45 (b) −3/14 (c) 7/45 (d) −7/45

Answer key

  1. Positive
  2. −7/8
  3. −1/6
  4. 1/5
  5. −1/6
  6. −3/4
  7. 5/2
  8. −2/3
  9. −3/2
  10. −5/3
  11. 2/5
  12. Negative
  13. Positive
  14. −3/7
  15. 1/3
  16. −2/9
  17. −4/9
  18. −1/3
  19. −1/2
  20. 8/9
  21. 2/7
  22. −2/9
  23. −11/8
  24. 8/3
  25. 19/30
  26. −2/3
  27. −47/40
  28. 5/24
  29. −9/8
  30. −1
  31. 4/63
  32. −109/72
  33. Negative
  34. −7/18
  35. −2/5
  36. −1/2
  37. −19/36
  38. −1/7
  39. −3/5
  40. −7/45

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