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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 410 · 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.Which is bigger: −5/9 or −2/5? (a) −2/5 (b) −5/9
  2. 2.What is (−8/9) + 1/9? (a) −7/18 (b) 7/9 (c) −7/9 (d) −1
  3. 3.Which is bigger: −1/6 or −5/8? (a) −5/8 (b) −1/6
  4. 4.What is 4/9 + (−3/5)? (a) 1/14 (b) 47/45 (c) −7/45 (d) 7/45
  5. 5.Is −6/(−9) positive or negative? (a) Positive (b) Negative
  6. 6.What is (−3/5) − (−1/2)? (a) 1/10 (b) −2/7 (c) −11/10 (d) −1/10
  7. 7.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −2/6 (b) 1/3 (c) −1/3 (d) −3/1
  8. 8.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −25/30 (c) 5/6 (d) −5/6
  9. 9.What is the additive inverse of −3/4? (a) −3/4 (b) −4/3 (c) 3/4 (d) 4/3
  10. 10.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −30/35
  11. 11.Is 5/(−4) positive or negative? (a) Positive (b) Negative
  12. 12.Which is bigger: −1/4 or −1/8? (a) −1/8 (b) −1/4
  13. 13.What is (−1/2) − (−2/3)? (a) 1/6 (b) 1/5 (c) −7/6 (d) −1/6
  14. 14.Is −5/9 positive or negative? (a) Positive (b) Negative
  15. 15.What is the additive inverse of −2/3? (a) 2/3 (b) 3/2 (c) −2/3 (d) −3/2
  16. 16.Which is bigger: −3/8 or 1/7? (a) −3/8 (b) 1/7
  17. 17.What is 3/7 + (−4/5)? (a) −1/12 (b) 43/35 (c) 13/35 (d) −13/35
  18. 18.Which is smaller: −1/9 or −5/6? (a) −5/6 (b) −1/9
  19. 19.What is (−1/5) + 5/9? (a) 16/45 (b) 2/7 (c) −16/45 (d) −34/45
  20. 20.What is (−1/3) + (−1/5)? (a) −8/15 (b) 8/15 (c) −2/15 (d) −1/4
  21. 21.What is (−2/3) + 4/5? (a) −22/15 (b) −2/15 (c) 2/15 (d) 1/4
  22. 22.What is 1/4 − (−8/9)? (a) −41/36 (b) 9/13 (c) 41/36 (d) −23/36
  23. 23.Is 1/6 positive or negative? (a) Negative (b) Positive
  24. 24.What is the additive inverse of 1/3? (a) 3 (b) 1/3 (c) −1/3 (d) −3
  25. 25.Is 9/(−7) positive or negative? (a) Negative (b) Positive
  26. 26.What is 7/9 + (−1/8)? (a) 65/72 (b) −47/72 (c) 47/72 (d) 6/17
  27. 27.Which is bigger: −1/5 or 4/5? (a) 4/5 (b) −1/5
  28. 28.Which is smaller: −7/8 or 4/5? (a) −7/8 (b) 4/5
  29. 29.What is (−5/6) − (−7/9)? (a) −1/18 (b) 1/18 (c) −29/18 (d) 2/15
  30. 30.What is (−5/7) + 6/7? (a) 1/14 (b) −1/7 (c) −11/7 (d) 1/7
  31. 31.What is the additive inverse of 4/9? (a) −9/4 (b) 4/9 (c) −4/9 (d) 9/4
  32. 32.What is the additive inverse of −7/8? (a) −7/8 (b) 8/7 (c) 7/8 (d) −8/7
  33. 33.What is 4/7 − (−1/7)? (a) 5/7 (b) 5/14 (c) 3/7 (d) −5/7
  34. 34.Is 9/(−3) positive or negative? (a) Negative (b) Positive
  35. 35.What is (−3/5) + 1/4? (a) −17/20 (b) 7/20 (c) −2/9 (d) −7/20
  36. 36.What is the additive inverse of −1/6? (a) 1/6 (b) 6 (c) −1/6 (d) −6
  37. 37.What is (−2/5) + 1/3? (a) −11/15 (b) −1/8 (c) 1/15 (d) −1/15
  38. 38.What is the reciprocal (multiplicative inverse) of −1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  39. 39.What is (−1/2) − 2/7? (a) −3/14 (b) 11/14 (c) −1/3 (d) −11/14
  40. 40.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) 2/5 (c) −2/5 (d) 5/2

Answer key

  1. −2/5
  2. −7/9
  3. −1/6
  4. −7/45
  5. Positive
  6. −1/10
  7. −1/3
  8. −5/6
  9. 3/4
  10. −6/7
  11. Negative
  12. −1/8
  13. 1/6
  14. Negative
  15. 2/3
  16. 1/7
  17. −13/35
  18. −5/6
  19. 16/45
  20. −8/15
  21. 2/15
  22. 41/36
  23. Positive
  24. −1/3
  25. Negative
  26. 47/72
  27. 4/5
  28. −7/8
  29. −1/18
  30. 1/7
  31. −4/9
  32. 7/8
  33. 5/7
  34. Negative
  35. −7/20
  36. 1/6
  37. −1/15
  38. −7
  39. −11/14
  40. 5/2

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