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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 990 · 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 7/8 − (−8/9)? (a) 15/17 (b) 127/72 (c) −127/72 (d) −1/72
  2. 2.Is −5/4 positive or negative? (a) Positive (b) Negative
  3. 3.Is 4/(−5) positive or negative? (a) Negative (b) Positive
  4. 4.Is −5/3 positive or negative? (a) Negative (b) Positive
  5. 5.What is 1/4 + (−4/7)? (a) −3/11 (b) 23/28 (c) 9/28 (d) −9/28
  6. 6.Is 6/(−4) positive or negative? (a) Negative (b) Positive
  7. 7.What is the reciprocal (multiplicative inverse) of −3/5? (a) 5/3 (b) −5/3 (c) 3/5 (d) −3/5
  8. 8.What is 3/5 + (−6/7)? (a) −9/35 (b) −1/4 (c) 51/35 (d) 9/35
  9. 9.What is (−6/7) − 1/8? (a) −55/56 (b) 55/56 (c) −41/56 (d) −7/15
  10. 10.What is (−4/5) − 5/9? (a) −61/45 (b) −11/45 (c) −9/14 (d) 61/45
  11. 11.Which is bigger: −4/9 or 1/6? (a) 1/6 (b) −4/9
  12. 12.What is the reciprocal (multiplicative inverse) of 3/8? (a) −3/8 (b) 8/3 (c) 3/8 (d) −8/3
  13. 13.What is 5/8 − (−4/5)? (a) 9/13 (b) −7/40 (c) −57/40 (d) 57/40
  14. 14.What is the reciprocal (multiplicative inverse) of 1/6? (a) −6 (b) −1/6 (c) 6 (d) 1/6
  15. 15.What is the additive inverse of 1/3? (a) −1/3 (b) 3 (c) −3 (d) 1/3
  16. 16.What is the additive inverse of −3/5? (a) 3/5 (b) −3/5 (c) 5/3 (d) −5/3
  17. 17.What is (−1/5) + 4/9? (a) −11/45 (b) −29/45 (c) 3/14 (d) 11/45
  18. 18.Which is bigger: −7/8 or 4/7? (a) −7/8 (b) 4/7
  19. 19.What is (−3/8) − (−1/3)? (a) −17/24 (b) −1/24 (c) 1/24 (d) −2/11
  20. 20.What is (−1/8) + (−1/3)? (a) 11/24 (b) 5/24 (c) −2/11 (d) −11/24
  21. 21.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −6/54 (c) 1/9 (d) −1/9
  22. 22.Is −3/(−5) positive or negative? (a) Negative (b) Positive
  23. 23.Which is smaller: −3/5 or −3/4? (a) −3/5 (b) −3/4
  24. 24.Which is bigger: −1/9 or 3/5? (a) 3/5 (b) −1/9
  25. 25.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8
  26. 26.Write −12/30 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −12/30 (d) −5/2
  27. 27.What is the additive inverse of −2/5? (a) −5/2 (b) −2/5 (c) 5/2 (d) 2/5
  28. 28.What is (−1/5) − (−3/5)? (a) −2/5 (b) 1/5 (c) −4/5 (d) 2/5
  29. 29.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) −7/8 (b) 7/8 (c) −28/32 (d) −8/7
  30. 30.Is 8/6 positive or negative? (a) Negative (b) Positive
  31. 31.What is (−1/6) − 2/7? (a) 5/42 (b) 19/42 (c) −3/13 (d) −19/42
  32. 32.What is (−1/2) − 3/5? (a) −4/7 (b) 11/10 (c) 1/10 (d) −11/10
  33. 33.Which is bigger: −4/7 or 1/7? (a) 1/7 (b) −4/7
  34. 34.What is (−3/7) + 3/8? (a) 3/56 (b) 0 (c) −3/56 (d) −45/56
  35. 35.What is (−1/9) − (−8/9)? (a) 7/18 (b) 7/9 (c) −7/9 (d) −1
  36. 36.Write −6/9 in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −2/3 (d) −6/9
  37. 37.Which is bigger: −3/5 or −3/7? (a) −3/7 (b) −3/5
  38. 38.What is (−3/7) − (−5/9)? (a) 1/8 (b) 8/63 (c) −62/63 (d) −8/63
  39. 39.What is (−5/8) + 3/7? (a) −59/56 (b) 11/56 (c) −2/15 (d) −11/56
  40. 40.What is 8/9 − (−1/8)? (a) −73/72 (b) 9/17 (c) 55/72 (d) 73/72

Answer key

  1. 127/72
  2. Negative
  3. Negative
  4. Negative
  5. −9/28
  6. Negative
  7. −5/3
  8. −9/35
  9. −55/56
  10. −61/45
  11. 1/6
  12. 8/3
  13. 57/40
  14. 6
  15. −1/3
  16. 3/5
  17. 11/45
  18. 4/7
  19. −1/24
  20. −11/24
  21. −1/9
  22. Positive
  23. −3/4
  24. 3/5
  25. 8/7
  26. −2/5
  27. 2/5
  28. 2/5
  29. −7/8
  30. Positive
  31. −19/42
  32. −11/10
  33. 1/7
  34. −3/56
  35. 7/9
  36. −2/3
  37. −3/7
  38. 8/63
  39. −11/56
  40. 73/72

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