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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 829 · 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 (−2/3) − 2/9? (a) −4/9 (b) −8/9 (c) 8/9 (d) −1/3
  2. 2.What is the additive inverse of −3/5? (a) −5/3 (b) 3/5 (c) −3/5 (d) 5/3
  3. 3.Which is smaller: −7/8 or 3/7? (a) 3/7 (b) −7/8
  4. 4.What is (−1/3) − (−5/9)? (a) 2/9 (b) 1/3 (c) −8/9 (d) −2/9
  5. 5.Which is smaller: −7/9 or −7/8? (a) −7/8 (b) −7/9
  6. 6.What is (−5/9) − (−1/6)? (a) 7/18 (b) −4/15 (c) −7/18 (d) −13/18
  7. 7.Which is bigger: −5/6 or −3/4? (a) −5/6 (b) −3/4
  8. 8.Write −10/12 in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −10/12 (d) −5/6
  9. 9.Is −8/2 positive or negative? (a) Positive (b) Negative
  10. 10.What is 2/7 − (−1/5)? (a) 1/4 (b) 3/35 (c) 17/35 (d) −17/35
  11. 11.What is the reciprocal (multiplicative inverse) of 4/5? (a) 4/5 (b) −5/4 (c) −4/5 (d) 5/4
  12. 12.What is 1/6 + (−5/7)? (a) 37/42 (b) 23/42 (c) −23/42 (d) −4/13
  13. 13.What is (−2/7) − (−5/7)? (a) −3/7 (b) 3/7 (c) −1 (d) 3/14
  14. 14.What is 2/3 − (−1/2)? (a) 1/6 (b) 7/6 (c) 3/5 (d) −7/6
  15. 15.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  16. 16.What is (−2/5) + 5/9? (a) 7/45 (b) −43/45 (c) 3/14 (d) −7/45
  17. 17.What is the additive inverse of 1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  18. 18.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) −3/24 (d) 1/8
  19. 19.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) −4/14 (d) 2/7
  20. 20.Is −2/5 positive or negative? (a) Negative (b) Positive
  21. 21.What is (−5/8) + 2/7? (a) −51/56 (b) −19/56 (c) 19/56 (d) −1/5
  22. 22.What is the additive inverse of −3/8? (a) −3/8 (b) −8/3 (c) 3/8 (d) 8/3
  23. 23.What is (−3/4) − 1/9? (a) −23/36 (b) −4/13 (c) −31/36 (d) 31/36
  24. 24.What is 1/7 + (−2/7)? (a) −1/14 (b) 3/7 (c) −1/7 (d) 1/7
  25. 25.What is (−4/5) + 1/7? (a) −33/35 (b) −23/35 (c) −1/4 (d) 23/35
  26. 26.Which is bigger: −5/7 or 2/7? (a) 2/7 (b) −5/7
  27. 27.What is the additive inverse of −1/9? (a) −1/9 (b) 9 (c) 1/9 (d) −9
  28. 28.Write −2/12 in standard form (lowest terms, positive denominator). (a) −2/12 (b) −6/1 (c) −1/6 (d) 1/6
  29. 29.What is the additive inverse of −3/7? (a) −3/7 (b) −7/3 (c) 3/7 (d) 7/3
  30. 30.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −10/14 (c) −7/5 (d) 5/7
  31. 31.Which is smaller: −5/7 or 2/3? (a) −5/7 (b) 2/3
  32. 32.What is the additive inverse of −2/5? (a) 2/5 (b) −2/5 (c) −5/2 (d) 5/2
  33. 33.Is −2/7 positive or negative? (a) Positive (b) Negative
  34. 34.What is (−4/7) − (−1/7)? (a) −5/7 (b) 3/7 (c) −3/14 (d) −3/7
  35. 35.Which is smaller: −2/3 or −4/7? (a) −2/3 (b) −4/7
  36. 36.What is (−2/5) − 3/5? (a) 1 (b) 1/5 (c) −1/2 (d) −1
  37. 37.Is 5/9 positive or negative? (a) Negative (b) Positive
  38. 38.Which is smaller: −1/3 or −4/9? (a) −4/9 (b) −1/3
  39. 39.What is (−3/4) − (−5/7)? (a) −1/28 (b) 2/11 (c) 1/28 (d) −41/28
  40. 40.Which is bigger: −2/3 or −3/8? (a) −3/8 (b) −2/3

Answer key

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

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