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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 619 · 40 sums
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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.Is 9/(−7) positive or negative? (a) Positive (b) Negative
  2. 2.Is 3/(−8) positive or negative? (a) Positive (b) Negative
  3. 3.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 7/6 (c) −7/6 (d) 6/7
  4. 4.What is (−5/8) − 7/8? (a) 1/4 (b) 3/2 (c) −3/2 (d) −3/4
  5. 5.What is 4/5 − (−5/9)? (a) 11/45 (b) 9/14 (c) −61/45 (d) 61/45
  6. 6.Write 16/(−20) in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −16/20 (d) −4/5
  7. 7.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) −8 (c) −1/8 (d) 1/8
  8. 8.Which is smaller: −2/3 or 5/6? (a) 5/6 (b) −2/3
  9. 9.What is (−1/7) + 1/7? (a) −2/7 (b) 0
  10. 10.What is (−1/6) − 2/3? (a) 1/2 (b) −1/3 (c) 5/6 (d) −5/6
  11. 11.Which is smaller: −3/4 or −2/3? (a) −3/4 (b) −2/3
  12. 12.Is −2/(−5) positive or negative? (a) Negative (b) Positive
  13. 13.What is the reciprocal (multiplicative inverse) of −4/5? (a) −4/5 (b) 5/4 (c) −5/4 (d) 4/5
  14. 14.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −8/28 (d) −2/7
  15. 15.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) 6 (c) −1/6 (d) −6
  16. 16.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −18/24 (b) −3/4 (c) −4/3 (d) 3/4
  17. 17.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −4/7 (c) −7/4 (d) −24/42
  18. 18.What is the additive inverse of −1/5? (a) −1/5 (b) 1/5 (c) −5 (d) 5
  19. 19.Is −4/9 positive or negative? (a) Negative (b) Positive
  20. 20.What is (−2/5) − 1/2? (a) −3/7 (b) 1/10 (c) 9/10 (d) −9/10
  21. 21.Is 4/6 positive or negative? (a) Positive (b) Negative
  22. 22.What is (−6/7) − 1/2? (a) 19/14 (b) −5/14 (c) −7/9 (d) −19/14
  23. 23.What is (−2/3) + 1/2? (a) −1/5 (b) −7/6 (c) 1/6 (d) −1/6
  24. 24.What is the reciprocal (multiplicative inverse) of −5/9? (a) −9/5 (b) 5/9 (c) −5/9 (d) 9/5
  25. 25.Which is smaller: −7/8 or −3/4? (a) −7/8 (b) −3/4
  26. 26.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −25/40 (d) −8/5
  27. 27.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 4/3 (c) −3/4 (d) 3/4
  28. 28.Is 2/(−5) positive or negative? (a) Positive (b) Negative
  29. 29.What is 3/7 − (−3/8)? (a) −45/56 (b) 3/56 (c) 45/56 (d) 2/5
  30. 30.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −5/7 (d) −30/42
  31. 31.Which is smaller: −5/7 or −5/9? (a) −5/7 (b) −5/9
  32. 32.What is 3/5 + (−7/8)? (a) 59/40 (b) −4/13 (c) 11/40 (d) −11/40
  33. 33.Which is bigger: −4/7 or −3/8? (a) −3/8 (b) −4/7
  34. 34.What is 1/3 + (−7/9)? (a) 10/9 (b) −4/9 (c) −1/2 (d) 4/9
  35. 35.Is 2/9 positive or negative? (a) Positive (b) Negative
  36. 36.What is the additive inverse of −1/6? (a) −6 (b) 1/6 (c) −1/6 (d) 6
  37. 37.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) 7/4 (c) −4/7 (d) −7/4
  38. 38.Is 8/(−3) positive or negative? (a) Positive (b) Negative
  39. 39.What is (−2/3) + 6/7? (a) 2/5 (b) 4/21 (c) −32/21 (d) −4/21
  40. 40.Write −8/14 in standard form (lowest terms, positive denominator). (a) −8/14 (b) 4/7 (c) −7/4 (d) −4/7

Answer key

  1. Negative
  2. Negative
  3. −7/6
  4. −3/2
  5. 61/45
  6. −4/5
  7. −8
  8. −2/3
  9. 0
  10. −5/6
  11. −3/4
  12. Positive
  13. −5/4
  14. −2/7
  15. −6
  16. −3/4
  17. −4/7
  18. 1/5
  19. Negative
  20. −9/10
  21. Positive
  22. −19/14
  23. −1/6
  24. −9/5
  25. −7/8
  26. −5/8
  27. 4/3
  28. Negative
  29. 45/56
  30. −5/7
  31. −5/7
  32. −11/40
  33. −3/8
  34. −4/9
  35. Positive
  36. 1/6
  37. −7/4
  38. Negative
  39. 4/21
  40. −4/7

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