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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 94 · 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) Positive (b) Negative
  2. 2.Which is smaller: −1/8 or 2/7? (a) 2/7 (b) −1/8
  3. 3.Is 4/(−5) positive or negative? (a) Positive (b) Negative
  4. 4.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  5. 5.Write −30/35 in standard form (lowest terms, positive denominator). (a) −30/35 (b) 6/7 (c) −7/6 (d) −6/7
  6. 6.What is (−1/4) + (−2/3)? (a) −3/7 (b) 11/12 (c) 5/12 (d) −11/12
  7. 7.Which is bigger: −7/9 or 3/7? (a) −7/9 (b) 3/7
  8. 8.What is (−8/9) + 3/4? (a) −5/36 (b) 5/36 (c) −59/36 (d) −5/13
  9. 9.Is 6/3 positive or negative? (a) Positive (b) Negative
  10. 10.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −1/9 (d) −6/54
  11. 11.What is the additive inverse of −1/2? (a) −2 (b) 2 (c) −1/2 (d) 1/2
  12. 12.Is 1/9 positive or negative? (a) Positive (b) Negative
  13. 13.Write −16/18 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −16/18 (c) −9/8 (d) −8/9
  14. 14.Is 7/(−3) positive or negative? (a) Negative (b) Positive
  15. 15.Which is bigger: −3/7 or 4/9? (a) −3/7 (b) 4/9
  16. 16.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −4/12 (b) −1/3 (c) −3/1 (d) 1/3
  17. 17.What is 8/9 − (−2/5)? (a) 58/45 (b) −58/45 (c) 22/45 (d) 5/7
  18. 18.Which is bigger: −2/3 or −2/5? (a) −2/3 (b) −2/5
  19. 19.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −8/9 (d) −24/27
  20. 20.What is (−3/7) − 1/5? (a) −1/3 (b) 22/35 (c) −8/35 (d) −22/35
  21. 21.Write −8/14 in standard form (lowest terms, positive denominator). (a) −4/7 (b) −8/14 (c) −7/4 (d) 4/7
  22. 22.What is (−1/5) + 3/5? (a) 1/5 (b) −2/5 (c) 2/5 (d) −4/5
  23. 23.What is (−1/6) − 3/8? (a) 5/24 (b) 13/24 (c) −2/7 (d) −13/24
  24. 24.Write −16/28 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −16/28 (c) −4/7 (d) 4/7
  25. 25.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −1/3 (b) −2/6 (c) −3/1 (d) 1/3
  26. 26.Is −6/9 positive or negative? (a) Negative (b) Positive
  27. 27.What is 1/2 − (−3/4)? (a) −1/4 (b) −5/4 (c) 2/3 (d) 5/4
  28. 28.Is −2/9 positive or negative? (a) Positive (b) Negative
  29. 29.What is (−2/9) + 6/7? (a) −68/63 (b) 1/4 (c) 40/63 (d) −40/63
  30. 30.What is (−5/9) − 4/9? (a) −1/9 (b) −1/2 (c) 1 (d) −1
  31. 31.What is the additive inverse of 1/9? (a) 1/9 (b) 9 (c) −9 (d) −1/9
  32. 32.What is (−4/5) − (−5/8)? (a) −57/40 (b) 1/13 (c) 7/40 (d) −7/40
  33. 33.What is the additive inverse of 2/7? (a) 7/2 (b) −2/7 (c) 2/7 (d) −7/2
  34. 34.What is the additive inverse of −1/6? (a) 1/6 (b) −6 (c) 6 (d) −1/6
  35. 35.Which is bigger: −3/7 or 5/9? (a) 5/9 (b) −3/7
  36. 36.Is 6/(−9) positive or negative? (a) Negative (b) Positive
  37. 37.What is (−3/7) − (−4/5)? (a) 1/12 (b) −43/35 (c) 13/35 (d) −13/35
  38. 38.What is (−3/4) + 7/9? (a) −1/36 (b) −55/36 (c) 1/36 (d) 4/13
  39. 39.Which is smaller: −1/2 or 5/7? (a) 5/7 (b) −1/2
  40. 40.Is 9/2 positive or negative? (a) Positive (b) Negative

Answer key

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

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