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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 628 · 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 5/(−40) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) −5/40 (d) 1/8
  2. 2.What is (−8/9) + 2/9? (a) −2/3 (b) 2/3 (c) −1/3 (d) −10/9
  3. 3.What is (−1/9) − 2/5? (a) −23/45 (b) 13/45 (c) 23/45 (d) −3/14
  4. 4.What is (−4/7) − (−2/3)? (a) −26/21 (b) −1/5 (c) 2/21 (d) −2/21
  5. 5.Which is bigger: −2/7 or −2/3? (a) −2/3 (b) −2/7
  6. 6.Is 5/(−9) positive or negative? (a) Positive (b) Negative
  7. 7.What is 1/3 − (−1/9)? (a) 1/6 (b) 2/9 (c) −4/9 (d) 4/9
  8. 8.What is 5/9 − (−3/8)? (a) 67/72 (b) 8/17 (c) −67/72 (d) 13/72
  9. 9.What is (−8/9) − (−4/7)? (a) −1/4 (b) −92/63 (c) −20/63 (d) 20/63
  10. 10.Is −7/(−4) positive or negative? (a) Positive (b) Negative
  11. 11.What is the reciprocal (multiplicative inverse) of 5/6? (a) −6/5 (b) 5/6 (c) −5/6 (d) 6/5
  12. 12.What is (−3/4) − 3/7? (a) −6/11 (b) −9/28 (c) 33/28 (d) −33/28
  13. 13.Which is smaller: −2/3 or 7/8? (a) −2/3 (b) 7/8
  14. 14.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) 1/8 (d) −2/16
  15. 15.Which is smaller: −2/5 or 4/5? (a) 4/5 (b) −2/5
  16. 16.Which is bigger: −1/3 or 2/3? (a) −1/3 (b) 2/3
  17. 17.What is (−7/9) − (−1/2)? (a) −6/11 (b) −23/18 (c) −5/18 (d) 5/18
  18. 18.Write −5/45 in standard form (lowest terms, positive denominator). (a) −1/9 (b) −5/45 (c) −9/1 (d) 1/9
  19. 19.What is (−6/7) + (−8/9)? (a) −110/63 (b) 110/63 (c) 2/63 (d) −7/8
  20. 20.What is 1/3 − (−7/9)? (a) −10/9 (b) 2/3 (c) −4/9 (d) 10/9
  21. 21.Which is bigger: −1/7 or −2/7? (a) −2/7 (b) −1/7
  22. 22.What is (−2/9) + 1/7? (a) −1/16 (b) −5/63 (c) 5/63 (d) −23/63
  23. 23.Which is bigger: −6/7 or 1/5? (a) −6/7 (b) 1/5
  24. 24.Write −16/28 in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −16/28 (d) −4/7
  25. 25.What is (−1/8) − (−1/9)? (a) 0 (b) −1/72 (c) 1/72 (d) −17/72
  26. 26.What is the additive inverse of −1/9? (a) −9 (b) 1/9 (c) 9 (d) −1/9
  27. 27.Write −6/18 in standard form (lowest terms, positive denominator). (a) −6/18 (b) −3/1 (c) 1/3 (d) −1/3
  28. 28.What is the additive inverse of 7/8? (a) 7/8 (b) −7/8 (c) 8/7 (d) −8/7
  29. 29.Which is bigger: −4/7 or 5/7? (a) 5/7 (b) −4/7
  30. 30.What is 1/3 + (−4/5)? (a) 7/15 (b) 17/15 (c) −7/15 (d) −3/8
  31. 31.Which is smaller: −2/3 or −8/9? (a) −2/3 (b) −8/9
  32. 32.What is 2/5 + (−5/8)? (a) 41/40 (b) −3/13 (c) −9/40 (d) 9/40
  33. 33.Write −25/30 in standard form (lowest terms, positive denominator). (a) −25/30 (b) 5/6 (c) −6/5 (d) −5/6
  34. 34.Is 7/5 positive or negative? (a) Positive (b) Negative
  35. 35.Is −3/5 positive or negative? (a) Positive (b) Negative
  36. 36.What is (−5/8) + 1/5? (a) −17/40 (b) 17/40 (c) −33/40 (d) −4/13
  37. 37.Write −20/25 in standard form (lowest terms, positive denominator). (a) −20/25 (b) −4/5 (c) 4/5 (d) −5/4
  38. 38.What is (−3/4) − (−1/5)? (a) −19/20 (b) −2/9 (c) −11/20 (d) 11/20
  39. 39.What is (−4/5) − (−1/4)? (a) 11/20 (b) −11/20 (c) −21/20 (d) −1/3
  40. 40.What is the additive inverse of 1/3? (a) −3 (b) 1/3 (c) −1/3 (d) 3

Answer key

  1. −1/8
  2. −2/3
  3. −23/45
  4. 2/21
  5. −2/7
  6. Negative
  7. 4/9
  8. 67/72
  9. −20/63
  10. Positive
  11. 6/5
  12. −33/28
  13. −2/3
  14. −1/8
  15. −2/5
  16. 2/3
  17. −5/18
  18. −1/9
  19. −110/63
  20. 10/9
  21. −1/7
  22. −5/63
  23. 1/5
  24. −4/7
  25. −1/72
  26. 1/9
  27. −1/3
  28. −7/8
  29. 5/7
  30. −7/15
  31. −8/9
  32. −9/40
  33. −5/6
  34. Positive
  35. Negative
  36. −17/40
  37. −4/5
  38. −11/20
  39. −11/20
  40. −1/3

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