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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 891 · 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 bigger: −3/5 or −4/9? (a) −3/5 (b) −4/9
  2. 2.Write −8/36 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −8/36 (d) −2/9
  3. 3.Is −3/8 positive or negative? (a) Positive (b) Negative
  4. 4.Is −7/(−6) positive or negative? (a) Negative (b) Positive
  5. 5.What is the additive inverse of −1/8? (a) −1/8 (b) 8 (c) 1/8 (d) −8
  6. 6.Which is smaller: −1/4 or −1/7? (a) −1/4 (b) −1/7
  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 + (−8/9)? (a) 1 (b) −7/18 (c) 7/9 (d) −7/9
  9. 9.Which is smaller: −7/9 or 8/9? (a) −7/9 (b) 8/9
  10. 10.Is 7/3 positive or negative? (a) Positive (b) Negative
  11. 11.What is (−8/9) − 1/6? (a) −3/5 (b) −13/18 (c) 19/18 (d) −19/18
  12. 12.What is (−1/8) + 1/4? (a) −3/8 (b) 1/8 (c) −1/8 (d) 0
  13. 13.What is (−1/6) − (−5/8)? (a) 2/7 (b) −11/24 (c) −19/24 (d) 11/24
  14. 14.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) −1/3 (c) 1/3 (d) 3
  15. 15.What is (−1/3) + 3/7? (a) −2/21 (b) 1/5 (c) 2/21 (d) −16/21
  16. 16.Which is bigger: −6/7 or 1/4? (a) −6/7 (b) 1/4
  17. 17.What is (−5/9) − 5/7? (a) −80/63 (b) −5/8 (c) 10/63 (d) 80/63
  18. 18.What is 1/3 − (−4/7)? (a) −19/21 (b) 19/21 (c) 1/2 (d) −5/21
  19. 19.Write −15/25 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −15/25 (d) −5/3
  20. 20.Which is bigger: −5/8 or −4/9? (a) −4/9 (b) −5/8
  21. 21.Is −4/3 positive or negative? (a) Positive (b) Negative
  22. 22.What is the additive inverse of −5/6? (a) −5/6 (b) −6/5 (c) 6/5 (d) 5/6
  23. 23.What is the reciprocal (multiplicative inverse) of 3/7? (a) −3/7 (b) −7/3 (c) 3/7 (d) 7/3
  24. 24.Is −7/(−5) positive or negative? (a) Positive (b) Negative
  25. 25.What is (−1/3) − 1/8? (a) −2/11 (b) −5/24 (c) 11/24 (d) −11/24
  26. 26.What is 2/9 − (−4/7)? (a) −22/63 (b) −50/63 (c) 3/8 (d) 50/63
  27. 27.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) −5/3 (c) 5/3 (d) 3/5
  28. 28.What is 3/7 − (−2/3)? (a) −23/21 (b) −5/21 (c) 23/21 (d) 1/2
  29. 29.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) −3/7 (c) −7/3 (d) 3/7
  30. 30.What is 2/5 + (−1/8)? (a) −11/40 (b) 21/40 (c) 1/13 (d) 11/40
  31. 31.What is (−1/7) + 4/5? (a) 1/4 (b) −23/35 (c) 23/35 (d) −33/35
  32. 32.What is the additive inverse of 5/6? (a) −5/6 (b) 5/6 (c) −6/5 (d) 6/5
  33. 33.What is (−3/8) + 6/7? (a) 1/5 (b) −69/56 (c) −27/56 (d) 27/56
  34. 34.What is (−1/3) + 1/2? (a) −5/6 (b) 1/6 (c) −1/6 (d) 0
  35. 35.What is the reciprocal (multiplicative inverse) of −1/7? (a) 7 (b) −1/7 (c) −7 (d) 1/7
  36. 36.What is the reciprocal (multiplicative inverse) of 5/7? (a) 7/5 (b) −5/7 (c) 5/7 (d) −7/5
  37. 37.What is (−7/9) + 1/4? (a) −6/13 (b) −37/36 (c) 19/36 (d) −19/36
  38. 38.What is (−5/9) + 1/8? (a) 31/72 (b) −49/72 (c) −4/17 (d) −31/72
  39. 39.What is (−4/5) − 4/7? (a) −8/35 (b) −2/3 (c) −48/35 (d) 48/35
  40. 40.Which is smaller: −4/7 or 2/5? (a) −4/7 (b) 2/5

Answer key

  1. −4/9
  2. −2/9
  3. Negative
  4. Positive
  5. 1/8
  6. −1/4
  7. −5/2
  8. −7/9
  9. −7/9
  10. Positive
  11. −19/18
  12. 1/8
  13. 11/24
  14. 3
  15. 2/21
  16. 1/4
  17. −80/63
  18. 19/21
  19. −3/5
  20. −4/9
  21. Negative
  22. 5/6
  23. 7/3
  24. Positive
  25. −11/24
  26. 50/63
  27. 5/3
  28. 23/21
  29. −7/3
  30. 11/40
  31. 23/35
  32. −5/6
  33. 27/56
  34. 1/6
  35. −7
  36. 7/5
  37. −19/36
  38. −31/72
  39. −48/35
  40. −4/7

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