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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 1 · 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 (−4/9) + 1/6? (a) 5/18 (b) −5/18 (c) −11/18 (d) −1/5
  2. 2.Is −1/(−8) positive or negative? (a) Positive (b) Negative
  3. 3.Which is smaller: −1/5 or 1/6? (a) 1/6 (b) −1/5
  4. 4.Is 6/(−7) positive or negative? (a) Negative (b) Positive
  5. 5.What is (−1/7) + 1/5? (a) −2/35 (b) −12/35 (c) 0 (d) 2/35
  6. 6.Is −3/7 positive or negative? (a) Negative (b) Positive
  7. 7.What is the additive inverse of 2/7? (a) 2/7 (b) −7/2 (c) −2/7 (d) 7/2
  8. 8.Write −5/15 in standard form (lowest terms, positive denominator). (a) −1/3 (b) 1/3 (c) −3/1 (d) −5/15
  9. 9.Which is smaller: −5/7 or −4/7? (a) −4/7 (b) −5/7
  10. 10.What is (−8/9) + 1/5? (a) −31/45 (b) −1/2 (c) −49/45 (d) 31/45
  11. 11.What is the additive inverse of −5/7? (a) −7/5 (b) 5/7 (c) 7/5 (d) −5/7
  12. 12.Which is smaller: −1/9 or 2/5? (a) −1/9 (b) 2/5
  13. 13.What is 8/9 − (−2/5)? (a) 5/7 (b) 58/45 (c) −58/45 (d) 22/45
  14. 14.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −1/3 (d) −2/6
  15. 15.Is 6/(−2) positive or negative? (a) Positive (b) Negative
  16. 16.Which is smaller: −1/5 or −4/5? (a) −1/5 (b) −4/5
  17. 17.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −28/36 (c) −9/7 (d) −7/9
  18. 18.Is 8/8 positive or negative? (a) Positive (b) Negative
  19. 19.Which is smaller: −4/9 or −1/3? (a) −4/9 (b) −1/3
  20. 20.What is (−5/6) + (−4/9)? (a) 23/18 (b) −7/18 (c) −23/18 (d) −3/5
  21. 21.What is 5/8 − (−5/9)? (a) 10/17 (b) −85/72 (c) 5/72 (d) 85/72
  22. 22.What is (−5/7) + 1/3? (a) −2/5 (b) −22/21 (c) 8/21 (d) −8/21
  23. 23.What is (−4/5) + 1/2? (a) −13/10 (b) −3/10 (c) −3/7 (d) 3/10
  24. 24.What is the additive inverse of −7/8? (a) −7/8 (b) −8/7 (c) 7/8 (d) 8/7
  25. 25.Is −3/(−7) positive or negative? (a) Negative (b) Positive
  26. 26.What is (−1/8) − (−4/9)? (a) −23/72 (b) 3/17 (c) −41/72 (d) 23/72
  27. 27.What is 3/5 − (−1/7)? (a) 1/3 (b) 16/35 (c) 26/35 (d) −26/35
  28. 28.Which is smaller: −2/9 or −3/5? (a) −2/9 (b) −3/5
  29. 29.Which is bigger: −1/2 or −1/6? (a) −1/2 (b) −1/6
  30. 30.What is 5/7 + (−1/3)? (a) −8/21 (b) 8/21 (c) 2/5 (d) 22/21
  31. 31.What is (−3/4) − (−1/7)? (a) −25/28 (b) −2/11 (c) −17/28 (d) 17/28
  32. 32.Is −3/(−5) positive or negative? (a) Positive (b) Negative
  33. 33.What is (−1/2) − 1/5? (a) 7/10 (b) −3/10 (c) −2/7 (d) −7/10
  34. 34.What is (−7/8) + 4/9? (a) 31/72 (b) −31/72 (c) −3/17 (d) −95/72
  35. 35.What is (−6/7) − 2/7? (a) −8/7 (b) 8/7 (c) −4/7
  36. 36.Which is smaller: −3/8 or −1/7? (a) −3/8 (b) −1/7
  37. 37.Which is smaller: −1/4 or −3/5? (a) −1/4 (b) −3/5
  38. 38.Which is bigger: −1/4 or 6/7? (a) 6/7 (b) −1/4
  39. 39.Which is smaller: −1/5 or 1/4? (a) 1/4 (b) −1/5
  40. 40.What is (−2/9) − (−1/4)? (a) −1/13 (b) −1/36 (c) 1/36 (d) −17/36

Answer key

  1. −5/18
  2. Positive
  3. −1/5
  4. Negative
  5. 2/35
  6. Negative
  7. −2/7
  8. −1/3
  9. −5/7
  10. −31/45
  11. 5/7
  12. −1/9
  13. 58/45
  14. −1/3
  15. Negative
  16. −4/5
  17. −7/9
  18. Positive
  19. −4/9
  20. −23/18
  21. 85/72
  22. −8/21
  23. −3/10
  24. 7/8
  25. Positive
  26. 23/72
  27. 26/35
  28. −3/5
  29. −1/6
  30. 8/21
  31. −17/28
  32. Positive
  33. −7/10
  34. −31/72
  35. −8/7
  36. −3/8
  37. −3/5
  38. 6/7
  39. −1/5
  40. 1/36

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