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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 779 · 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 −7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  2. 2.What is (−2/9) + 1/7? (a) 5/63 (b) −1/16 (c) −23/63 (d) −5/63
  3. 3.Is 8/3 positive or negative? (a) Negative (b) Positive
  4. 4.Is −9/(−8) positive or negative? (a) Negative (b) Positive
  5. 5.What is 4/5 + (−1/8)? (a) 3/13 (b) 37/40 (c) 27/40 (d) −27/40
  6. 6.Is 2/(−5) positive or negative? (a) Positive (b) Negative
  7. 7.What is the reciprocal (multiplicative inverse) of 3/5? (a) 3/5 (b) −3/5 (c) 5/3 (d) −5/3
  8. 8.Write −12/54 in standard form (lowest terms, positive denominator). (a) −12/54 (b) −9/2 (c) −2/9 (d) 2/9
  9. 9.What is (−4/5) + 5/8? (a) −7/40 (b) 1/13 (c) 7/40 (d) −57/40
  10. 10.Write 5/(−10) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −5/10 (d) −2/1
  11. 11.Is 2/(−6) positive or negative? (a) Negative (b) Positive
  12. 12.Which is bigger: −2/5 or −7/9? (a) −2/5 (b) −7/9
  13. 13.What is the additive inverse of −5/6? (a) 5/6 (b) 6/5 (c) −6/5 (d) −5/6
  14. 14.Which is smaller: −1/9 or −7/9? (a) −1/9 (b) −7/9
  15. 15.Is 1/6 positive or negative? (a) Negative (b) Positive
  16. 16.Is 4/9 positive or negative? (a) Negative (b) Positive
  17. 17.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  18. 18.What is (−2/9) − 5/6? (a) 11/18 (b) 19/18 (c) −7/15 (d) −19/18
  19. 19.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  20. 20.What is the reciprocal (multiplicative inverse) of −1/8? (a) −1/8 (b) −8 (c) 1/8 (d) 8
  21. 21.Is −8/(−7) positive or negative? (a) Negative (b) Positive
  22. 22.Which is smaller: −1/9 or 4/7? (a) −1/9 (b) 4/7
  23. 23.Is 6/(−6) positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −7/9 or 1/2? (a) 1/2 (b) −7/9
  25. 25.What is 2/7 − (−6/7)? (a) −8/7 (b) −4/7 (c) 4/7 (d) 8/7
  26. 26.What is the additive inverse of 5/6? (a) 5/6 (b) −6/5 (c) −5/6 (d) 6/5
  27. 27.What is (−1/8) + 1/9? (a) 0 (b) −17/72 (c) −1/72 (d) 1/72
  28. 28.Is 1/(−9) positive or negative? (a) Positive (b) Negative
  29. 29.Is −9/5 positive or negative? (a) Negative (b) Positive
  30. 30.What is 5/8 + (−3/7)? (a) 11/56 (b) 2/15 (c) 59/56 (d) −11/56
  31. 31.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −2/6 (d) −3/1
  32. 32.What is (−1/5) − (−1/8)? (a) 0 (b) −13/40 (c) −3/40 (d) 3/40
  33. 33.What is (−4/9) − (−1/6)? (a) −1/5 (b) −5/18 (c) 5/18 (d) −11/18
  34. 34.Which is smaller: −2/5 or −7/8? (a) −2/5 (b) −7/8
  35. 35.Which is smaller: −1/5 or −5/6? (a) −5/6 (b) −1/5
  36. 36.Which is bigger: −1/8 or −1/6? (a) −1/6 (b) −1/8
  37. 37.What is (−2/5) − 3/8? (a) −31/40 (b) −1/40 (c) 31/40 (d) −5/13
  38. 38.Is 2/(−7) positive or negative? (a) Negative (b) Positive
  39. 39.Which is smaller: −3/4 or 3/8? (a) −3/4 (b) 3/8
  40. 40.What is 5/8 + (−1/8)? (a) −1/2 (b) 3/4 (c) 1/2 (d) 1/4

Answer key

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

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