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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 492 · 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 the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) −8/7 (c) 8/7 (d) −7/8
  2. 2.What is 3/4 − (−3/5)? (a) 3/20 (b) 27/20 (c) 2/3 (d) −27/20
  3. 3.What is (−2/3) − 7/9? (a) 13/9 (b) −13/9 (c) 1/9 (d) −3/4
  4. 4.Is 9/6 positive or negative? (a) Negative (b) Positive
  5. 5.What is (−1/2) − 2/5? (a) 9/10 (b) −1/10 (c) −3/7 (d) −9/10
  6. 6.What is the reciprocal (multiplicative inverse) of 4/7? (a) 7/4 (b) −7/4 (c) −4/7 (d) 4/7
  7. 7.What is (−3/5) + 1/3? (a) −1/4 (b) −14/15 (c) 4/15 (d) −4/15
  8. 8.What is the additive inverse of 6/7? (a) 6/7 (b) −7/6 (c) 7/6 (d) −6/7
  9. 9.Write −10/15 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −3/2 (d) −10/15
  10. 10.Which is smaller: −3/4 or 5/8? (a) 5/8 (b) −3/4
  11. 11.Which is bigger: −8/9 or 7/9? (a) 7/9 (b) −8/9
  12. 12.What is the reciprocal (multiplicative inverse) of 4/9? (a) 9/4 (b) 4/9 (c) −9/4 (d) −4/9
  13. 13.Is −1/(−3) positive or negative? (a) Negative (b) Positive
  14. 14.What is the additive inverse of 7/9? (a) −9/7 (b) 7/9 (c) 9/7 (d) −7/9
  15. 15.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −30/36 (d) −5/6
  16. 16.Is −4/2 positive or negative? (a) Positive (b) Negative
  17. 17.What is the additive inverse of 4/5? (a) −5/4 (b) 4/5 (c) 5/4 (d) −4/5
  18. 18.What is (−2/5) + 4/7? (a) −6/35 (b) 6/35 (c) −34/35 (d) 1/6
  19. 19.What is (−1/2) + (−1/6)? (a) −2/3 (b) −1/3 (c) −1/4 (d) 2/3
  20. 20.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/4 (b) −2/1 (c) −1/2 (d) 1/2
  21. 21.What is (−2/3) − 3/7? (a) −5/21 (b) −23/21 (c) 23/21 (d) −1/2
  22. 22.Which is smaller: −1/7 or 4/9? (a) 4/9 (b) −1/7
  23. 23.Is 1/(−2) positive or negative? (a) Positive (b) Negative
  24. 24.What is (−2/7) − 6/7? (a) 8/7 (b) −4/7 (c) 4/7 (d) −8/7
  25. 25.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 3/5 (c) −5/3 (d) 5/3
  26. 26.Which is bigger: −7/8 or −2/7? (a) −7/8 (b) −2/7
  27. 27.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) −4/3 (c) −3/4 (d) 4/3
  28. 28.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −6/54 (b) −1/9 (c) −9/1 (d) 1/9
  29. 29.Is −6/(−6) positive or negative? (a) Positive (b) Negative
  30. 30.What is (−2/7) + 1/9? (a) −11/63 (b) 11/63 (c) −25/63 (d) −1/16
  31. 31.What is (−6/7) − 4/9? (a) 82/63 (b) −82/63 (c) −5/8 (d) −26/63
  32. 32.Is 3/3 positive or negative? (a) Positive (b) Negative
  33. 33.What is (−1/9) − (−1/9)? (a) 0 (b) −2/9
  34. 34.What is (−3/5) + 2/9? (a) −37/45 (b) −17/45 (c) 17/45 (d) −1/14
  35. 35.Which is bigger: −3/5 or −7/8? (a) −3/5 (b) −7/8
  36. 36.What is (−2/7) + 1/7? (a) −3/7 (b) −1/14 (c) −1/7 (d) 1/7
  37. 37.What is 3/8 + (−1/5)? (a) 23/40 (b) −7/40 (c) 2/13 (d) 7/40
  38. 38.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −6/10 (c) −3/5 (d) −5/3
  39. 39.What is the additive inverse of 5/8? (a) −8/5 (b) 8/5 (c) −5/8 (d) 5/8
  40. 40.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4

Answer key

  1. 8/7
  2. 27/20
  3. −13/9
  4. Positive
  5. −9/10
  6. 7/4
  7. −4/15
  8. −6/7
  9. −2/3
  10. −3/4
  11. 7/9
  12. 9/4
  13. Positive
  14. −7/9
  15. −5/6
  16. Negative
  17. −4/5
  18. 6/35
  19. −2/3
  20. −1/2
  21. −23/21
  22. −1/7
  23. Negative
  24. −8/7
  25. −5/3
  26. −2/7
  27. 4/3
  28. −1/9
  29. Positive
  30. −11/63
  31. −82/63
  32. Positive
  33. 0
  34. −17/45
  35. −3/5
  36. −1/7
  37. 7/40
  38. −3/5
  39. −5/8
  40. −4/3

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