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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 477 · 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 2/5 − (−2/5)? (a) 4/5 (b) −4/5 (c) 2/5 (d) 0
  2. 2.What is 1/6 + (−5/7)? (a) 23/42 (b) −23/42 (c) −4/13 (d) 37/42
  3. 3.What is (−1/8) − (−1/9)? (a) 1/72 (b) −1/72 (c) 0 (d) −17/72
  4. 4.Is 1/(−2) positive or negative? (a) Positive (b) Negative
  5. 5.Which is bigger: −8/9 or −5/8? (a) −8/9 (b) −5/8
  6. 6.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −20/45 (d) −4/9
  7. 7.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) −1/9 (c) 9 (d) 1/9
  8. 8.Is 6/5 positive or negative? (a) Negative (b) Positive
  9. 9.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −5/20 (b) −4/1 (c) 1/4 (d) −1/4
  10. 10.What is 3/8 − (−7/8)? (a) 5/4 (b) 5/8 (c) −5/4 (d) −1/2
  11. 11.What is (−1/6) − 3/5? (a) 13/30 (b) −23/30 (c) −4/11 (d) 23/30
  12. 12.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  13. 13.What is the additive inverse of −1/9? (a) 9 (b) −1/9 (c) 1/9 (d) −9
  14. 14.What is (−6/7) + 5/9? (a) −89/63 (b) −19/63 (c) −1/16 (d) 19/63
  15. 15.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  16. 16.Which is bigger: −1/7 or 6/7? (a) −1/7 (b) 6/7
  17. 17.Is −3/(−2) positive or negative? (a) Positive (b) Negative
  18. 18.What is 8/9 − (−4/5)? (a) −76/45 (b) 4/45 (c) 76/45 (d) 6/7
  19. 19.What is (−1/2) − 1/7? (a) −9/14 (b) 9/14 (c) −2/9 (d) −5/14
  20. 20.Which is bigger: −1/8 or −1/6? (a) −1/6 (b) −1/8
  21. 21.Is −9/3 positive or negative? (a) Positive (b) Negative
  22. 22.Is 1/3 positive or negative? (a) Negative (b) Positive
  23. 23.Is 1/6 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−5/6) + (−1/8)? (a) −3/7 (b) −23/24 (c) 23/24 (d) −17/24
  25. 25.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −12/27 (b) 4/9 (c) −9/4 (d) −4/9
  26. 26.What is the reciprocal (multiplicative inverse) of 5/9? (a) −5/9 (b) 9/5 (c) −9/5 (d) 5/9
  27. 27.What is (−3/7) + (−5/9)? (a) −1/2 (b) 62/63 (c) 8/63 (d) −62/63
  28. 28.What is 2/5 + (−1/2)? (a) 1/10 (b) 1/7 (c) 9/10 (d) −1/10
  29. 29.What is (−1/6) + 1/9? (a) −1/18 (b) 0 (c) 1/18 (d) −5/18
  30. 30.Which is smaller: −4/5 or 2/7? (a) 2/7 (b) −4/5
  31. 31.What is (−6/7) − 3/8? (a) −3/5 (b) 69/56 (c) −69/56 (d) −27/56
  32. 32.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −2/16 (c) −8/1 (d) 1/8
  33. 33.What is 2/3 − (−1/7)? (a) 3/10 (b) 11/21 (c) −17/21 (d) 17/21
  34. 34.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −6/8 (c) 3/4 (d) −4/3
  35. 35.What is (−1/9) − 1/3? (a) −4/9 (b) −1/6 (c) 4/9 (d) 2/9
  36. 36.What is the additive inverse of 4/5? (a) 4/5 (b) 5/4 (c) −4/5 (d) −5/4
  37. 37.What is (−7/8) − (−1/2)? (a) −3/5 (b) −3/8 (c) −11/8 (d) 3/8
  38. 38.Which is bigger: −5/9 or −2/3? (a) −2/3 (b) −5/9
  39. 39.Is 7/9 positive or negative? (a) Positive (b) Negative
  40. 40.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) −3 (c) 1/3 (d) 3

Answer key

  1. 4/5
  2. −23/42
  3. −1/72
  4. Negative
  5. −5/8
  6. −4/9
  7. 9
  8. Positive
  9. −1/4
  10. 5/4
  11. −23/30
  12. Negative
  13. 1/9
  14. −19/63
  15. 5/4
  16. 6/7
  17. Positive
  18. 76/45
  19. −9/14
  20. −1/8
  21. Negative
  22. Positive
  23. Positive
  24. −23/24
  25. −4/9
  26. 9/5
  27. −62/63
  28. −1/10
  29. −1/18
  30. −4/5
  31. −69/56
  32. −1/8
  33. 17/21
  34. −3/4
  35. −4/9
  36. −4/5
  37. −3/8
  38. −5/9
  39. Positive
  40. −3

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