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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 149 · 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 (−5/7) − (−7/9)? (a) −4/63 (b) −94/63 (c) 4/63 (d) 1/8
  2. 2.What is (−1/3) + (−2/7)? (a) −3/10 (b) −13/21 (c) −1/21 (d) 13/21
  3. 3.Which is bigger: −4/7 or 4/9? (a) −4/7 (b) 4/9
  4. 4.What is (−1/5) + 3/5? (a) −4/5 (b) 1/5 (c) −2/5 (d) 2/5
  5. 5.What is 2/3 − (−1/4)? (a) 11/12 (b) 3/7 (c) −11/12 (d) 5/12
  6. 6.Is 4/6 positive or negative? (a) Negative (b) Positive
  7. 7.What is the reciprocal (multiplicative inverse) of −1/8? (a) 1/8 (b) −1/8 (c) 8 (d) −8
  8. 8.Is −4/(−3) positive or negative? (a) Negative (b) Positive
  9. 9.What is (−1/9) + 5/6? (a) 4/15 (b) −17/18 (c) 13/18 (d) −13/18
  10. 10.What is the additive inverse of −5/9? (a) 5/9 (b) 9/5 (c) −9/5 (d) −5/9
  11. 11.What is (−3/7) − (−1/6)? (a) 11/42 (b) −11/42 (c) −2/13 (d) −25/42
  12. 12.What is (−2/5) − 2/3? (a) −1/2 (b) −16/15 (c) 4/15 (d) 16/15
  13. 13.What is (−3/5) + (−1/3)? (a) −1/2 (b) −14/15 (c) −4/15 (d) 14/15
  14. 14.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −9/15 (c) 3/5 (d) −3/5
  15. 15.What is 4/7 + (−1/3)? (a) 3/10 (b) 5/21 (c) −5/21 (d) 19/21
  16. 16.What is (−7/9) − (−4/9)? (a) 1/3 (b) −1/6 (c) −11/9 (d) −1/3
  17. 17.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) 5/2 (c) −2/5 (d) 2/5
  18. 18.What is 5/6 − (−8/9)? (a) 31/18 (b) 13/15 (c) −31/18 (d) −1/18
  19. 19.Is 7/3 positive or negative? (a) Negative (b) Positive
  20. 20.What is (−1/7) + 7/8? (a) −57/56 (b) 2/5 (c) 41/56 (d) −41/56
  21. 21.Is −3/(−9) positive or negative? (a) Negative (b) Positive
  22. 22.What is 3/7 + (−3/7)? (a) 0 (b) 6/7
  23. 23.Is 8/(−8) positive or negative? (a) Positive (b) Negative
  24. 24.Is −9/9 positive or negative? (a) Positive (b) Negative
  25. 25.What is the reciprocal (multiplicative inverse) of 4/7? (a) −7/4 (b) −4/7 (c) 7/4 (d) 4/7
  26. 26.What is the additive inverse of −3/5? (a) −3/5 (b) 5/3 (c) 3/5 (d) −5/3
  27. 27.Is −6/(−6) positive or negative? (a) Negative (b) Positive
  28. 28.What is the additive inverse of −1/2? (a) 1/2 (b) 2 (c) −2 (d) −1/2
  29. 29.Which is smaller: −6/7 or 2/3? (a) −6/7 (b) 2/3
  30. 30.What is the reciprocal (multiplicative inverse) of 1/5? (a) 5 (b) 1/5 (c) −5 (d) −1/5
  31. 31.Is 8/(−4) positive or negative? (a) Positive (b) Negative
  32. 32.What is the additive inverse of −5/8? (a) 5/8 (b) 8/5 (c) −5/8 (d) −8/5
  33. 33.Is −7/5 positive or negative? (a) Negative (b) Positive
  34. 34.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) −3/5 (b) −18/30 (c) 3/5 (d) −5/3
  35. 35.What is 1/4 + (−1/7)? (a) 0 (b) 3/28 (c) 11/28 (d) −3/28
  36. 36.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −10/16 (b) −8/5 (c) 5/8 (d) −5/8
  37. 37.Write −10/45 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −9/2 (d) −10/45
  38. 38.What is the additive inverse of −3/7? (a) −7/3 (b) 3/7 (c) 7/3 (d) −3/7
  39. 39.Is −7/(−4) positive or negative? (a) Positive (b) Negative
  40. 40.Write −2/10 in standard form (lowest terms, positive denominator). (a) −2/10 (b) −1/5 (c) 1/5 (d) −5/1

Answer key

  1. 4/63
  2. −13/21
  3. 4/9
  4. 2/5
  5. 11/12
  6. Positive
  7. −8
  8. Positive
  9. 13/18
  10. 5/9
  11. −11/42
  12. −16/15
  13. −14/15
  14. −3/5
  15. 5/21
  16. −1/3
  17. 5/2
  18. 31/18
  19. Positive
  20. 41/56
  21. Positive
  22. 0
  23. Negative
  24. Negative
  25. 7/4
  26. 3/5
  27. Positive
  28. 1/2
  29. −6/7
  30. 5
  31. Negative
  32. 5/8
  33. Negative
  34. −3/5
  35. 3/28
  36. −5/8
  37. −2/9
  38. 3/7
  39. Positive
  40. −1/5

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