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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 986 · 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 reciprocal (multiplicative inverse) of −4/7? (a) 7/4 (b) −7/4 (c) 4/7 (d) −4/7
  2. 2.Which is bigger: −3/8 or −1/3? (a) −3/8 (b) −1/3
  3. 3.Is 5/9 positive or negative? (a) Negative (b) Positive
  4. 4.What is (−3/5) − 8/9? (a) 13/45 (b) 67/45 (c) −11/14 (d) −67/45
  5. 5.What is the reciprocal (multiplicative inverse) of −2/7? (a) −7/2 (b) −2/7 (c) 2/7 (d) 7/2
  6. 6.What is (−1/4) − 1/7? (a) 11/28 (b) −3/28 (c) −2/11 (d) −11/28
  7. 7.Is −9/2 positive or negative? (a) Positive (b) Negative
  8. 8.What is 4/9 − (−4/7)? (a) −8/63 (b) 64/63 (c) 1/2 (d) −64/63
  9. 9.What is the additive inverse of −2/9? (a) −2/9 (b) 9/2 (c) 2/9 (d) −9/2
  10. 10.What is (−2/5) + 3/8? (a) 1/13 (b) −1/40 (c) 1/40 (d) −31/40
  11. 11.What is (−4/9) + (−7/8)? (a) −95/72 (b) −11/17 (c) 31/72 (d) 95/72
  12. 12.What is (−8/9) − (−5/9)? (a) 1/3 (b) −13/9 (c) −1/6 (d) −1/3
  13. 13.What is (−4/9) − (−2/7)? (a) 10/63 (b) −10/63 (c) −1/8 (d) −46/63
  14. 14.What is (−2/5) − 3/8? (a) −31/40 (b) −5/13 (c) 31/40 (d) −1/40
  15. 15.Which is bigger: −4/5 or 3/7? (a) 3/7 (b) −4/5
  16. 16.What is the additive inverse of −2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  17. 17.Which is smaller: −4/9 or −2/5? (a) −2/5 (b) −4/9
  18. 18.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −1/9 (c) −9/1 (d) −2/18
  19. 19.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) −10/25 (d) 2/5
  20. 20.What is (−5/7) − (−7/9)? (a) −94/63 (b) −4/63 (c) 1/8 (d) 4/63
  21. 21.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −5/15 (b) 1/3 (c) −1/3 (d) −3/1
  22. 22.What is 1/2 + (−2/3)? (a) 7/6 (b) 1/6 (c) −1/5 (d) −1/6
  23. 23.Which is bigger: −1/5 or −4/5? (a) −4/5 (b) −1/5
  24. 24.Is 7/(−9) positive or negative? (a) Positive (b) Negative
  25. 25.Is −5/(−7) positive or negative? (a) Negative (b) Positive
  26. 26.What is 7/9 + (−4/7)? (a) 85/63 (b) 13/63 (c) 3/16 (d) −13/63
  27. 27.Write −16/36 in standard form (lowest terms, positive denominator). (a) −4/9 (b) −16/36 (c) −9/4 (d) 4/9
  28. 28.What is (−1/3) − (−7/9)? (a) −10/9 (b) 1/2 (c) −4/9 (d) 4/9
  29. 29.Which is bigger: −4/9 or −2/3? (a) −2/3 (b) −4/9
  30. 30.What is the additive inverse of 1/6? (a) 1/6 (b) 6 (c) −1/6 (d) −6
  31. 31.Which is bigger: −1/3 or 3/8? (a) 3/8 (b) −1/3
  32. 32.What is (−1/4) + (−4/9)? (a) −5/13 (b) 25/36 (c) 7/36 (d) −25/36
  33. 33.What is (−3/8) + 4/7? (a) 11/56 (b) −53/56 (c) 1/15 (d) −11/56
  34. 34.What is 1/4 − (−7/8)? (a) 2/3 (b) 9/8 (c) −9/8 (d) −5/8
  35. 35.Write −10/12 in standard form (lowest terms, positive denominator). (a) −10/12 (b) −6/5 (c) 5/6 (d) −5/6
  36. 36.Is −4/5 positive or negative? (a) Positive (b) Negative
  37. 37.Which is bigger: −3/8 or −4/5? (a) −4/5 (b) −3/8
  38. 38.What is (−6/7) − 1/9? (a) −7/16 (b) 61/63 (c) −61/63 (d) −47/63
  39. 39.Write −18/21 in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −7/6 (d) −18/21
  40. 40.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) −5/3 (c) 3/5 (d) 5/3

Answer key

  1. −7/4
  2. −1/3
  3. Positive
  4. −67/45
  5. −7/2
  6. −11/28
  7. Negative
  8. 64/63
  9. 2/9
  10. −1/40
  11. −95/72
  12. −1/3
  13. −10/63
  14. −31/40
  15. 3/7
  16. 2/7
  17. −4/9
  18. −1/9
  19. −2/5
  20. 4/63
  21. −1/3
  22. −1/6
  23. −1/5
  24. Negative
  25. Positive
  26. 13/63
  27. −4/9
  28. 4/9
  29. −4/9
  30. −1/6
  31. 3/8
  32. −25/36
  33. 11/56
  34. 9/8
  35. −5/6
  36. Negative
  37. −3/8
  38. −61/63
  39. −6/7
  40. 5/3

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