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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 558 · 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.Which is smaller: −3/5 or 4/7? (a) −3/5 (b) 4/7
  2. 2.Write −4/32 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −4/32 (c) 1/8 (d) −1/8
  3. 3.What is 8/9 − (−2/5)? (a) 5/7 (b) 22/45 (c) 58/45 (d) −58/45
  4. 4.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −30/54 (b) −5/9 (c) −9/5 (d) 5/9
  5. 5.Is 9/(−4) positive or negative? (a) Negative (b) Positive
  6. 6.Is 5/(−8) positive or negative? (a) Negative (b) Positive
  7. 7.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) 3/5 (c) 5/3 (d) −3/5
  8. 8.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −8/3 (b) 3/8 (c) −18/48 (d) −3/8
  9. 9.Is −2/(−9) positive or negative? (a) Negative (b) Positive
  10. 10.Which is smaller: −1/9 or 4/5? (a) −1/9 (b) 4/5
  11. 11.What is the reciprocal (multiplicative inverse) of −8/9? (a) −9/8 (b) 8/9 (c) 9/8 (d) −8/9
  12. 12.Write −6/18 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −6/18 (c) −3/1 (d) −1/3
  13. 13.What is the additive inverse of −4/5? (a) 4/5 (b) −4/5 (c) 5/4 (d) −5/4
  14. 14.What is 3/8 + (−1/5)? (a) 23/40 (b) 2/13 (c) −7/40 (d) 7/40
  15. 15.What is (−5/9) + 3/7? (a) 8/63 (b) −62/63 (c) −8/63 (d) −1/8
  16. 16.Write −6/15 in standard form (lowest terms, positive denominator). (a) −6/15 (b) −5/2 (c) 2/5 (d) −2/5
  17. 17.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) −2/5 (c) −5/2 (d) 2/5
  18. 18.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) −2/5 (c) 5/2 (d) 2/5
  19. 19.Is −8/4 positive or negative? (a) Positive (b) Negative
  20. 20.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) −24/54 (b) −4/9 (c) −9/4 (d) 4/9
  21. 21.What is (−5/9) + 1/5? (a) −2/7 (b) −34/45 (c) −16/45 (d) 16/45
  22. 22.Which is smaller: −1/6 or 3/4? (a) −1/6 (b) 3/4
  23. 23.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) −6/36 (b) 1/6 (c) −1/6 (d) −6/1
  24. 24.What is the additive inverse of 1/4? (a) 1/4 (b) −4 (c) −1/4 (d) 4
  25. 25.What is (−1/5) + 5/7? (a) 1/3 (b) −18/35 (c) 18/35 (d) −32/35
  26. 26.What is (−1/6) − 1/7? (a) −2/13 (b) −1/42 (c) −13/42 (d) 13/42
  27. 27.Which is bigger: −4/9 or 5/8? (a) 5/8 (b) −4/9
  28. 28.What is 1/4 − (−2/7)? (a) −15/28 (b) 3/11 (c) −1/28 (d) 15/28
  29. 29.What is 1/3 − (−1/8)? (a) 2/11 (b) −11/24 (c) 5/24 (d) 11/24
  30. 30.What is (−5/6) − 5/9? (a) −2/3 (b) −5/18 (c) 25/18 (d) −25/18
  31. 31.Which is smaller: −5/8 or 8/9? (a) 8/9 (b) −5/8
  32. 32.Which is smaller: −1/5 or −5/8? (a) −5/8 (b) −1/5
  33. 33.What is (−5/8) + (−1/4)? (a) −3/8 (b) −1/2 (c) 7/8 (d) −7/8
  34. 34.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −8/36 (c) −9/2 (d) −2/9
  35. 35.What is (−3/7) + 3/5? (a) −6/35 (b) 0 (c) −36/35 (d) 6/35
  36. 36.What is (−4/9) + 5/9? (a) 1/9 (b) −1 (c) −1/9 (d) 1/18
  37. 37.Which is bigger: −1/3 or −4/7? (a) −4/7 (b) −1/3
  38. 38.What is the reciprocal (multiplicative inverse) of 5/9? (a) −9/5 (b) 9/5 (c) 5/9 (d) −5/9
  39. 39.Is 6/(−2) positive or negative? (a) Negative (b) Positive
  40. 40.What is (−7/8) − (−1/3)? (a) −29/24 (b) −6/11 (c) 13/24 (d) −13/24

Answer key

  1. −3/5
  2. −1/8
  3. 58/45
  4. −5/9
  5. Negative
  6. Negative
  7. −5/3
  8. −3/8
  9. Positive
  10. −1/9
  11. −9/8
  12. −1/3
  13. 4/5
  14. 7/40
  15. −8/63
  16. −2/5
  17. −5/2
  18. 5/2
  19. Negative
  20. −4/9
  21. −16/45
  22. −1/6
  23. −1/6
  24. −1/4
  25. 18/35
  26. −13/42
  27. 5/8
  28. 15/28
  29. 11/24
  30. −25/18
  31. −5/8
  32. −5/8
  33. −7/8
  34. −2/9
  35. 6/35
  36. 1/9
  37. −1/3
  38. 9/5
  39. Negative
  40. −13/24

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