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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 932 · 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 2/9? (a) 9/2 (b) −2/9 (c) 2/9 (d) −9/2
  2. 2.Which is bigger: −5/7 or 4/9? (a) −5/7 (b) 4/9
  3. 3.What is (−2/9) + (−1/8)? (a) 25/72 (b) −7/72 (c) −25/72 (d) −3/17
  4. 4.What is (−6/7) + 1/6? (a) 29/42 (b) −43/42 (c) −29/42 (d) −5/13
  5. 5.Write −3/6 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −3/6 (c) 1/2 (d) −2/1
  6. 6.Is 5/7 positive or negative? (a) Positive (b) Negative
  7. 7.What is 2/7 + (−7/9)? (a) 31/63 (b) −5/16 (c) 67/63 (d) −31/63
  8. 8.What is the additive inverse of −7/9? (a) 9/7 (b) 7/9 (c) −7/9 (d) −9/7
  9. 9.Which is bigger: −2/9 or 5/6? (a) 5/6 (b) −2/9
  10. 10.Which is bigger: −2/3 or −1/8? (a) −2/3 (b) −1/8
  11. 11.Which is bigger: −3/7 or −1/8? (a) −1/8 (b) −3/7
  12. 12.Write −25/35 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −25/35 (c) 5/7 (d) −5/7
  13. 13.Which is bigger: −3/8 or −3/7? (a) −3/7 (b) −3/8
  14. 14.What is the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) −3/8 (c) −8/3 (d) 3/8
  15. 15.What is the additive inverse of −3/5? (a) 3/5 (b) 5/3 (c) −3/5 (d) −5/3
  16. 16.Which is smaller: −5/9 or −2/5? (a) −5/9 (b) −2/5
  17. 17.Which is bigger: −4/7 or −4/5? (a) −4/7 (b) −4/5
  18. 18.What is the additive inverse of 4/7? (a) −7/4 (b) 7/4 (c) −4/7 (d) 4/7
  19. 19.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) −8 (c) −1/8 (d) 1/8
  20. 20.Which is smaller: −1/7 or −1/9? (a) −1/9 (b) −1/7
  21. 21.What is (−7/8) + 7/9? (a) 0 (b) −119/72 (c) −7/72 (d) 7/72
  22. 22.What is (−5/6) + 1/8? (a) −23/24 (b) −17/24 (c) 17/24 (d) −2/7
  23. 23.Is −8/5 positive or negative? (a) Positive (b) Negative
  24. 24.What is (−7/8) + (−5/8)? (a) −3/4 (b) 3/2 (c) −3/2 (d) −1/4
  25. 25.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) 7/2 (c) 2/7 (d) −7/2
  26. 26.What is (−5/9) − (−7/8)? (a) 2/17 (b) −23/72 (c) 23/72 (d) −103/72
  27. 27.What is 4/5 − (−2/5)? (a) 6/5 (b) −6/5 (c) 2/5 (d) 3/5
  28. 28.What is 5/8 + (−2/3)? (a) −1/24 (b) 31/24 (c) 1/24 (d) 3/11
  29. 29.Is −4/(−7) positive or negative? (a) Positive (b) Negative
  30. 30.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) −9/5 (c) 5/9 (d) −5/9
  31. 31.Which is bigger: −5/9 or −1/8? (a) −5/9 (b) −1/8
  32. 32.Write −4/36 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −4/36 (c) −1/9 (d) −9/1
  33. 33.What is (−1/5) + (−5/9)? (a) −3/7 (b) 16/45 (c) 34/45 (d) −34/45
  34. 34.What is (−4/7) − (−4/9)? (a) 0 (b) −8/63 (c) −64/63 (d) 8/63
  35. 35.What is (−2/7) − (−3/5)? (a) −11/35 (b) 1/12 (c) −31/35 (d) 11/35
  36. 36.What is (−8/9) − (−4/9)? (a) −4/3 (b) −2/9 (c) 4/9 (d) −4/9
  37. 37.Is −2/2 positive or negative? (a) Negative (b) Positive
  38. 38.What is (−5/9) + 7/9? (a) 1/9 (b) −4/3 (c) 2/9 (d) −2/9
  39. 39.Is −1/9 positive or negative? (a) Positive (b) Negative
  40. 40.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −9/24 (d) −3/8

Answer key

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

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