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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 281 · 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.Is 1/(−5) positive or negative? (a) Negative (b) Positive
  2. 2.What is the additive inverse of 1/2? (a) 2 (b) 1/2 (c) −2 (d) −1/2
  3. 3.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) 4/3 (c) −3/4 (d) −4/3
  4. 4.Is 2/(−5) positive or negative? (a) Negative (b) Positive
  5. 5.What is (−1/8) + (−3/4)? (a) 7/8 (b) −7/8 (c) −1/3 (d) 5/8
  6. 6.What is 3/4 − (−8/9)? (a) −59/36 (b) 11/13 (c) −5/36 (d) 59/36
  7. 7.What is (−2/3) − (−1/5)? (a) −1/8 (b) 7/15 (c) −7/15 (d) −13/15
  8. 8.What is (−7/8) − 1/7? (a) 57/56 (b) −8/15 (c) −57/56 (d) −41/56
  9. 9.What is 2/5 + (−1/9)? (a) 1/14 (b) −13/45 (c) 13/45 (d) 23/45
  10. 10.Is 5/(−6) positive or negative? (a) Negative (b) Positive
  11. 11.Write −4/24 in standard form (lowest terms, positive denominator). (a) −4/24 (b) 1/6 (c) −1/6 (d) −6/1
  12. 12.What is (−3/8) − (−4/9)? (a) 5/72 (b) −5/72 (c) 1/17 (d) −59/72
  13. 13.What is (−3/7) + 7/9? (a) 1/4 (b) −22/63 (c) −76/63 (d) 22/63
  14. 14.What is (−1/5) + 6/7? (a) 23/35 (b) −37/35 (c) 5/12 (d) −23/35
  15. 15.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −2/18 (d) −1/9
  16. 16.What is the additive inverse of 1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  17. 17.What is the additive inverse of 5/6? (a) −5/6 (b) 6/5 (c) 5/6 (d) −6/5
  18. 18.Is 9/9 positive or negative? (a) Negative (b) Positive
  19. 19.Write −20/28 in standard form (lowest terms, positive denominator). (a) −20/28 (b) 5/7 (c) −5/7 (d) −7/5
  20. 20.Write −2/6 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) −2/6 (d) 1/3
  21. 21.Is 3/3 positive or negative? (a) Negative (b) Positive
  22. 22.What is the additive inverse of −2/5? (a) 5/2 (b) −5/2 (c) 2/5 (d) −2/5
  23. 23.Is 6/(−9) positive or negative? (a) Positive (b) Negative
  24. 24.What is (−3/4) − 3/4? (a) −3/2 (b) 3/2 (c) −3/4 (d) 0
  25. 25.Is 3/6 positive or negative? (a) Negative (b) Positive
  26. 26.What is 2/9 + (−3/8)? (a) 11/72 (b) −11/72 (c) 43/72 (d) −1/17
  27. 27.What is (−3/7) − 4/9? (a) 1/63 (b) 55/63 (c) −55/63 (d) −7/16
  28. 28.Is −2/5 positive or negative? (a) Negative (b) Positive
  29. 29.Is −6/4 positive or negative? (a) Positive (b) Negative
  30. 30.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) 8/7 (c) 7/8 (d) −8/7
  31. 31.What is (−3/4) − (−1/5)? (a) −11/20 (b) −2/9 (c) −19/20 (d) 11/20
  32. 32.What is the reciprocal (multiplicative inverse) of −3/8? (a) 3/8 (b) 8/3 (c) −8/3 (d) −3/8
  33. 33.What is the additive inverse of −2/7? (a) 7/2 (b) −7/2 (c) −2/7 (d) 2/7
  34. 34.What is (−2/3) − (−3/8)? (a) −7/24 (b) 1/11 (c) 7/24 (d) −25/24
  35. 35.What is (−3/4) + 3/4? (a) 0 (b) −3/2
  36. 36.What is (−1/4) − 1/3? (a) 7/12 (b) 1/12 (c) −7/12 (d) −2/7
  37. 37.What is (−1/3) + (−6/7)? (a) −25/21 (b) −7/10 (c) 11/21 (d) 25/21
  38. 38.What is 1/2 + (−3/4)? (a) 5/4 (b) −1/3 (c) 1/4 (d) −1/4
  39. 39.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) 8/9 (c) 9/8 (d) −8/9
  40. 40.What is the additive inverse of 1/6? (a) 6 (b) 1/6 (c) −1/6 (d) −6

Answer key

  1. Negative
  2. −1/2
  3. 4/3
  4. Negative
  5. −7/8
  6. 59/36
  7. −7/15
  8. −57/56
  9. 13/45
  10. Negative
  11. −1/6
  12. 5/72
  13. 22/63
  14. 23/35
  15. −1/9
  16. −1/3
  17. −5/6
  18. Positive
  19. −5/7
  20. −1/3
  21. Positive
  22. 2/5
  23. Negative
  24. −3/2
  25. Positive
  26. −11/72
  27. −55/63
  28. Negative
  29. Negative
  30. 8/7
  31. −11/20
  32. −8/3
  33. 2/7
  34. −7/24
  35. 0
  36. −7/12
  37. −25/21
  38. −1/4
  39. 9/8
  40. −1/6

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