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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 655 · 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.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −30/36 (b) 5/6 (c) −5/6 (d) −6/5
  2. 2.What is 1/4 + (−3/8)? (a) 1/8 (b) −1/8 (c) 5/8 (d) −1/6
  3. 3.Is 4/(−4) positive or negative? (a) Positive (b) Negative
  4. 4.Is 5/4 positive or negative? (a) Positive (b) Negative
  5. 5.What is the additive inverse of 1/6? (a) −1/6 (b) −6 (c) 1/6 (d) 6
  6. 6.What is (−7/9) + (−2/7)? (a) −67/63 (b) −31/63 (c) 67/63 (d) −9/16
  7. 7.Is −8/7 positive or negative? (a) Negative (b) Positive
  8. 8.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) 9 (c) 1/9 (d) −1/9
  9. 9.What is (−8/9) − (−1/6)? (a) 13/18 (b) −7/15 (c) −13/18 (d) −19/18
  10. 10.Is 3/5 positive or negative? (a) Positive (b) Negative
  11. 11.What is (−2/7) − (−7/8)? (a) −33/56 (b) 33/56 (c) −65/56 (d) 1/3
  12. 12.Which is bigger: −1/3 or 6/7? (a) −1/3 (b) 6/7
  13. 13.What is (−1/4) − (−1/7)? (a) 3/28 (b) 0 (c) −11/28 (d) −3/28
  14. 14.What is (−3/7) − 3/7? (a) 6/7 (b) 0 (c) −6/7 (d) −3/7
  15. 15.What is 1/5 + (−1/4)? (a) −1/20 (b) 9/20 (c) 0 (d) 1/20
  16. 16.Is 5/(−2) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−1/5) + (−3/7)? (a) 8/35 (b) −22/35 (c) −1/3 (d) 22/35
  18. 18.Is 2/5 positive or negative? (a) Positive (b) Negative
  19. 19.What is the additive inverse of −3/8? (a) −3/8 (b) −8/3 (c) 3/8 (d) 8/3
  20. 20.What is (−5/6) + 2/5? (a) 13/30 (b) −13/30 (c) −37/30 (d) −3/11
  21. 21.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  22. 22.Which is bigger: −3/8 or −5/6? (a) −5/6 (b) −3/8
  23. 23.Which is bigger: −1/7 or 1/5? (a) −1/7 (b) 1/5
  24. 24.What is the additive inverse of 8/9? (a) 9/8 (b) 8/9 (c) −9/8 (d) −8/9
  25. 25.Is −2/3 positive or negative? (a) Positive (b) Negative
  26. 26.Is 5/3 positive or negative? (a) Negative (b) Positive
  27. 27.What is (−5/7) + 1/2? (a) −3/14 (b) 3/14 (c) −4/9 (d) −17/14
  28. 28.Is −9/(−2) positive or negative? (a) Positive (b) Negative
  29. 29.Write −2/6 in standard form (lowest terms, positive denominator). (a) −2/6 (b) 1/3 (c) −1/3 (d) −3/1
  30. 30.Which is bigger: −2/5 or −7/9? (a) −7/9 (b) −2/5
  31. 31.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) −1/2 (b) −3/6 (c) 1/2 (d) −2/1
  32. 32.Which is smaller: −7/8 or 4/5? (a) 4/5 (b) −7/8
  33. 33.What is the additive inverse of −1/6? (a) 1/6 (b) −6 (c) −1/6 (d) 6
  34. 34.What is 5/9 + (−5/7)? (a) 10/63 (b) 80/63 (c) −10/63 (d) 0
  35. 35.What is the reciprocal (multiplicative inverse) of −1/9? (a) −9 (b) 1/9 (c) −1/9 (d) 9
  36. 36.What is 1/7 + (−1/3)? (a) −4/21 (b) 10/21 (c) 4/21 (d) 0
  37. 37.Is 4/9 positive or negative? (a) Negative (b) Positive
  38. 38.What is the additive inverse of 1/3? (a) −1/3 (b) −3 (c) 1/3 (d) 3
  39. 39.What is (−2/9) + 1/8? (a) −25/72 (b) −7/72 (c) 7/72 (d) −1/17
  40. 40.Which is bigger: −3/5 or −1/2? (a) −1/2 (b) −3/5

Answer key

  1. −5/6
  2. −1/8
  3. Negative
  4. Positive
  5. −1/6
  6. −67/63
  7. Negative
  8. 9
  9. −13/18
  10. Positive
  11. 33/56
  12. 6/7
  13. −3/28
  14. −6/7
  15. −1/20
  16. Negative
  17. −22/35
  18. Positive
  19. 3/8
  20. −13/30
  21. Negative
  22. −3/8
  23. 1/5
  24. −8/9
  25. Negative
  26. Positive
  27. −3/14
  28. Positive
  29. −1/3
  30. −2/5
  31. −1/2
  32. −7/8
  33. 1/6
  34. −10/63
  35. −9
  36. −4/21
  37. Positive
  38. −1/3
  39. −7/72
  40. −1/2

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