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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 814 · 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.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −2/12 (c) −1/6 (d) 1/6
  2. 2.Is −3/(−2) positive or negative? (a) Positive (b) Negative
  3. 3.What is (−4/7) − (−8/9)? (a) −20/63 (b) 1/4 (c) −92/63 (d) 20/63
  4. 4.What is (−7/8) + 3/8? (a) −1/4 (b) 1/2 (c) −5/4 (d) −1/2
  5. 5.What is (−2/3) − 6/7? (a) 4/21 (b) −32/21 (c) 32/21 (d) −4/5
  6. 6.Is −8/2 positive or negative? (a) Positive (b) Negative
  7. 7.What is 3/4 + (−2/7)? (a) 29/28 (b) 13/28 (c) −13/28 (d) 1/11
  8. 8.Which is bigger: −1/6 or −2/3? (a) −1/6 (b) −2/3
  9. 9.Which is bigger: −8/9 or −1/6? (a) −1/6 (b) −8/9
  10. 10.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −2/10 (b) 1/5 (c) −1/5 (d) −5/1
  11. 11.Which is smaller: −1/3 or 4/9? (a) −1/3 (b) 4/9
  12. 12.What is the additive inverse of −1/4? (a) −4 (b) 4 (c) −1/4 (d) 1/4
  13. 13.What is (−3/7) + 1/7? (a) −1/7 (b) −4/7 (c) −2/7 (d) 2/7
  14. 14.Is −7/(−9) positive or negative? (a) Positive (b) Negative
  15. 15.What is 1/3 − (−2/5)? (a) −11/15 (b) 3/8 (c) −1/15 (d) 11/15
  16. 16.What is (−3/4) + 1/5? (a) −19/20 (b) −11/20 (c) 11/20 (d) −2/9
  17. 17.Which is smaller: −2/5 or −3/8? (a) −3/8 (b) −2/5
  18. 18.What is (−5/8) + 1/6? (a) −19/24 (b) −2/7 (c) 11/24 (d) −11/24
  19. 19.What is (−7/8) + 2/5? (a) −5/13 (b) 19/40 (c) −51/40 (d) −19/40
  20. 20.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) 4/7 (c) −7/4 (d) 7/4
  21. 21.Is 1/(−4) positive or negative? (a) Negative (b) Positive
  22. 22.Is 5/8 positive or negative? (a) Negative (b) Positive
  23. 23.What is (−1/2) + 5/6? (a) 1/2 (b) −1/3 (c) −4/3 (d) 1/3
  24. 24.What is the additive inverse of 5/7? (a) 7/5 (b) 5/7 (c) −5/7 (d) −7/5
  25. 25.What is the additive inverse of −2/7? (a) 7/2 (b) −2/7 (c) −7/2 (d) 2/7
  26. 26.What is (−4/5) + 1/5? (a) −3/10 (b) 3/5 (c) −1 (d) −3/5
  27. 27.What is the reciprocal (multiplicative inverse) of 8/9? (a) −8/9 (b) 9/8 (c) −9/8 (d) 8/9
  28. 28.What is the additive inverse of −1/6? (a) −1/6 (b) −6 (c) 6 (d) 1/6
  29. 29.Which is bigger: −2/5 or 1/7? (a) −2/5 (b) 1/7
  30. 30.What is the reciprocal (multiplicative inverse) of 3/7? (a) −3/7 (b) −7/3 (c) 3/7 (d) 7/3
  31. 31.Is 1/2 positive or negative? (a) Positive (b) Negative
  32. 32.What is (−1/3) + (−5/7)? (a) 22/21 (b) −22/21 (c) −3/5 (d) 8/21
  33. 33.What is 2/7 − (−1/2)? (a) −3/14 (b) −11/14 (c) 1/3 (d) 11/14
  34. 34.Which is smaller: −5/8 or 1/7? (a) 1/7 (b) −5/8
  35. 35.What is (−5/6) − 1/5? (a) 31/30 (b) −19/30 (c) −6/11 (d) −31/30
  36. 36.What is 2/5 + (−5/9)? (a) 7/45 (b) −7/45 (c) −3/14 (d) 43/45
  37. 37.What is 5/9 − (−1/5)? (a) −34/45 (b) 3/7 (c) 16/45 (d) 34/45
  38. 38.What is the additive inverse of 7/8? (a) 8/7 (b) 7/8 (c) −8/7 (d) −7/8
  39. 39.Is 9/5 positive or negative? (a) Negative (b) Positive
  40. 40.What is the additive inverse of 3/4? (a) −3/4 (b) 4/3 (c) −4/3 (d) 3/4

Answer key

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

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