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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 35 · 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 −7/(−6) positive or negative? (a) Positive (b) Negative
  2. 2.Write −24/30 in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −4/5 (d) −24/30
  3. 3.What is (−2/7) + (−1/9)? (a) −11/63 (b) 25/63 (c) −25/63 (d) −3/16
  4. 4.What is (−2/3) + 1/5? (a) 7/15 (b) −13/15 (c) −1/8 (d) −7/15
  5. 5.What is (−6/7) + 1/5? (a) 23/35 (b) −37/35 (c) −5/12 (d) −23/35
  6. 6.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −5/30 (b) 1/6 (c) −1/6 (d) −6/1
  7. 7.Which is smaller: −2/7 or −2/5? (a) −2/7 (b) −2/5
  8. 8.Is −2/9 positive or negative? (a) Negative (b) Positive
  9. 9.Which is smaller: −8/9 or −2/9? (a) −2/9 (b) −8/9
  10. 10.Which is bigger: −2/9 or −4/9? (a) −2/9 (b) −4/9
  11. 11.What is (−3/7) − (−4/7)? (a) −1/7 (b) −1 (c) 1/7 (d) 1/14
  12. 12.What is the reciprocal (multiplicative inverse) of −5/7? (a) −7/5 (b) −5/7 (c) 7/5 (d) 5/7
  13. 13.What is the reciprocal (multiplicative inverse) of −4/7? (a) 7/4 (b) −7/4 (c) 4/7 (d) −4/7
  14. 14.Which is bigger: −2/3 or 5/7? (a) −2/3 (b) 5/7
  15. 15.What is the additive inverse of 5/7? (a) 7/5 (b) 5/7 (c) −7/5 (d) −5/7
  16. 16.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) −25/45 (b) −9/5 (c) −5/9 (d) 5/9
  17. 17.What is (−5/6) − 1/2? (a) −1/3 (b) −3/4 (c) 4/3 (d) −4/3
  18. 18.Which is smaller: −1/6 or −2/9? (a) −1/6 (b) −2/9
  19. 19.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) −5/2 (c) −2/5 (d) 2/5
  20. 20.What is 2/9 − (−8/9)? (a) −10/9 (b) −2/3 (c) 10/9 (d) 5/9
  21. 21.Which is smaller: −2/3 or −6/7? (a) −6/7 (b) −2/3
  22. 22.Is 6/4 positive or negative? (a) Positive (b) Negative
  23. 23.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −6/24 (c) −4/1 (d) −1/4
  24. 24.Which is smaller: −3/4 or 4/9? (a) 4/9 (b) −3/4
  25. 25.Write −8/12 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −8/12 (c) 2/3 (d) −2/3
  26. 26.What is 3/7 − (−4/5)? (a) −43/35 (b) −13/35 (c) 43/35 (d) 7/12
  27. 27.What is the reciprocal (multiplicative inverse) of −1/2? (a) −2 (b) −1/2 (c) 2 (d) 1/2
  28. 28.Is 5/2 positive or negative? (a) Negative (b) Positive
  29. 29.Is 3/(−4) positive or negative? (a) Positive (b) Negative
  30. 30.Is −8/(−5) positive or negative? (a) Negative (b) Positive
  31. 31.Write −9/15 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) 3/5 (d) −9/15
  32. 32.What is (−1/6) − (−1/5)? (a) 0 (b) −1/30 (c) −11/30 (d) 1/30
  33. 33.What is (−2/5) + (−1/3)? (a) −11/15 (b) −3/8 (c) 11/15 (d) −1/15
  34. 34.What is (−7/8) + (−1/2)? (a) −3/8 (b) −11/8 (c) 11/8 (d) −4/5
  35. 35.What is (−7/9) − (−2/9)? (a) −1 (b) −5/9 (c) 5/9 (d) −5/18
  36. 36.What is (−4/7) + 5/8? (a) −67/56 (b) 3/56 (c) −3/56 (d) 1/15
  37. 37.What is the reciprocal (multiplicative inverse) of −4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  38. 38.What is 2/9 − (−1/3)? (a) 1/4 (b) −5/9 (c) 5/9 (d) −1/9
  39. 39.Which is bigger: −2/5 or −8/9? (a) −2/5 (b) −8/9
  40. 40.What is (−4/7) + (−4/5)? (a) 48/35 (b) −48/35 (c) −2/3 (d) 8/35

Answer key

  1. Positive
  2. −4/5
  3. −25/63
  4. −7/15
  5. −23/35
  6. −1/6
  7. −2/5
  8. Negative
  9. −8/9
  10. −2/9
  11. 1/7
  12. −7/5
  13. −7/4
  14. 5/7
  15. −5/7
  16. −5/9
  17. −4/3
  18. −2/9
  19. −5/2
  20. 10/9
  21. −6/7
  22. Positive
  23. −1/4
  24. −3/4
  25. −2/3
  26. 43/35
  27. −2
  28. Positive
  29. Negative
  30. Positive
  31. −3/5
  32. 1/30
  33. −11/15
  34. −11/8
  35. −5/9
  36. 3/56
  37. −5/4
  38. 5/9
  39. −2/5
  40. −48/35

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