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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 5 · 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 (−5/8) − 3/4? (a) 11/8 (b) 1/8 (c) −11/8 (d) −2/3
  2. 2.What is (−1/9) + (−4/5)? (a) −5/14 (b) −41/45 (c) 31/45 (d) 41/45
  3. 3.What is the reciprocal (multiplicative inverse) of 1/5? (a) −5 (b) 1/5 (c) −1/5 (d) 5
  4. 4.Is 2/(−7) positive or negative? (a) Positive (b) Negative
  5. 5.Is 9/2 positive or negative? (a) Positive (b) Negative
  6. 6.Is 2/4 positive or negative? (a) Positive (b) Negative
  7. 7.What is the additive inverse of −6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  8. 8.What is the additive inverse of 1/6? (a) 6 (b) −6 (c) 1/6 (d) −1/6
  9. 9.What is (−5/8) + (−3/4)? (a) 11/8 (b) −11/8 (c) 1/8 (d) −2/3
  10. 10.What is the reciprocal (multiplicative inverse) of −7/8? (a) 8/7 (b) −7/8 (c) 7/8 (d) −8/7
  11. 11.What is (−1/2) − 8/9? (a) 25/18 (b) −9/11 (c) 7/18 (d) −25/18
  12. 12.Is 4/8 positive or negative? (a) Negative (b) Positive
  13. 13.Is 8/4 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−1/2) + 5/6? (a) −4/3 (b) −1/3 (c) 1/2 (d) 1/3
  15. 15.What is (−1/2) − (−1/5)? (a) −3/10 (b) 0 (c) 3/10 (d) −7/10
  16. 16.What is (−2/3) − 1/3? (a) 1 (b) −1/2 (c) −1/3 (d) −1
  17. 17.Is 2/5 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−1/8) − 1/4? (a) 3/8 (b) −3/8 (c) 1/8 (d) −1/6
  19. 19.Is 2/(−2) positive or negative? (a) Negative (b) Positive
  20. 20.What is 4/7 − (−3/8)? (a) 7/15 (b) 53/56 (c) −53/56 (d) 11/56
  21. 21.What is (−2/5) + (−1/5)? (a) 3/5 (b) −3/5 (c) −3/10 (d) −1/5
  22. 22.What is 5/6 − (−5/9)? (a) 25/18 (b) −25/18 (c) 5/18 (d) 2/3
  23. 23.Which is bigger: −4/5 or 8/9? (a) 8/9 (b) −4/5
  24. 24.Write −25/40 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −25/40 (c) −5/8 (d) −8/5
  25. 25.Which is smaller: −4/7 or −4/9? (a) −4/9 (b) −4/7
  26. 26.What is (−7/9) − 1/2? (a) −8/11 (b) −5/18 (c) −23/18 (d) 23/18
  27. 27.What is (−3/5) − 1/2? (a) 11/10 (b) −4/7 (c) −11/10 (d) −1/10
  28. 28.What is the additive inverse of −1/8? (a) −8 (b) 8 (c) −1/8 (d) 1/8
  29. 29.What is 5/7 + (−3/5)? (a) −4/35 (b) 1/6 (c) 46/35 (d) 4/35
  30. 30.What is the additive inverse of 1/9? (a) 1/9 (b) −9 (c) −1/9 (d) 9
  31. 31.What is (−8/9) + (−1/5)? (a) −31/45 (b) 49/45 (c) −49/45 (d) −9/14
  32. 32.Which is bigger: −2/7 or 5/8? (a) −2/7 (b) 5/8
  33. 33.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  34. 34.What is 3/7 + (−5/7)? (a) −1/7 (b) 8/7 (c) −2/7 (d) 2/7
  35. 35.Write −9/21 in standard form (lowest terms, positive denominator). (a) −9/21 (b) −7/3 (c) −3/7 (d) 3/7
  36. 36.What is (−1/4) − (−5/6)? (a) −13/12 (b) 2/5 (c) −7/12 (d) 7/12
  37. 37.Which is smaller: −2/5 or 1/4? (a) 1/4 (b) −2/5
  38. 38.What is 1/2 + (−1/9)? (a) −7/18 (b) 11/18 (c) 0 (d) 7/18
  39. 39.Write −20/35 in standard form (lowest terms, positive denominator). (a) −4/7 (b) −20/35 (c) 4/7 (d) −7/4
  40. 40.Is 7/(−6) positive or negative? (a) Positive (b) Negative

Answer key

  1. −11/8
  2. −41/45
  3. 5
  4. Negative
  5. Positive
  6. Positive
  7. 6/7
  8. −1/6
  9. −11/8
  10. −8/7
  11. −25/18
  12. Positive
  13. Positive
  14. 1/3
  15. −3/10
  16. −1
  17. Positive
  18. −3/8
  19. Negative
  20. 53/56
  21. −3/5
  22. 25/18
  23. 8/9
  24. −5/8
  25. −4/7
  26. −23/18
  27. −11/10
  28. 1/8
  29. 4/35
  30. −1/9
  31. −49/45
  32. 5/8
  33. Negative
  34. −2/7
  35. −3/7
  36. 7/12
  37. −2/5
  38. 7/18
  39. −4/7
  40. Negative

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