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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 315 · 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 additive inverse of −7/8? (a) −7/8 (b) 7/8 (c) 8/7 (d) −8/7
  2. 2.What is (−1/2) + (−1/3)? (a) −1/6 (b) −2/5 (c) 5/6 (d) −5/6
  3. 3.Is 2/7 positive or negative? (a) Positive (b) Negative
  4. 4.Is −7/9 positive or negative? (a) Negative (b) Positive
  5. 5.Is 2/(−2) positive or negative? (a) Positive (b) Negative
  6. 6.What is (−1/7) − (−7/8)? (a) 2/5 (b) −57/56 (c) 41/56 (d) −41/56
  7. 7.Write −42/54 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −42/54 (d) −7/9
  8. 8.What is (−5/9) + (−2/9)? (a) −7/18 (b) −7/9 (c) 7/9 (d) −1/3
  9. 9.What is 5/7 − (−7/9)? (a) −4/63 (b) 94/63 (c) 3/4 (d) −94/63
  10. 10.Which is smaller: −1/8 or −3/7? (a) −1/8 (b) −3/7
  11. 11.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −10/16 (c) −5/8 (d) 5/8
  12. 12.What is (−8/9) + (−3/5)? (a) −67/45 (b) −13/45 (c) −11/14 (d) 67/45
  13. 13.What is (−1/5) + 2/5? (a) −1/5 (b) 1/5 (c) −3/5 (d) 1/10
  14. 14.What is (−2/9) + 1/2? (a) −13/18 (b) −1/11 (c) −5/18 (d) 5/18
  15. 15.What is 1/2 + (−4/5)? (a) −3/10 (b) −3/7 (c) 13/10 (d) 3/10
  16. 16.Is −3/5 positive or negative? (a) Positive (b) Negative
  17. 17.What is (−5/9) − (−7/8)? (a) −103/72 (b) 2/17 (c) −23/72 (d) 23/72
  18. 18.Is −2/4 positive or negative? (a) Negative (b) Positive
  19. 19.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) 2/9 (c) −9/2 (d) 9/2
  20. 20.Write −18/42 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −3/7 (c) −7/3 (d) −18/42
  21. 21.Write −30/48 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −8/5 (d) −30/48
  22. 22.Which is smaller: −3/5 or 5/8? (a) 5/8 (b) −3/5
  23. 23.What is (−1/6) − (−1/5)? (a) 1/30 (b) 0 (c) −11/30 (d) −1/30
  24. 24.Is −1/5 positive or negative? (a) Positive (b) Negative
  25. 25.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −4/7 (d) −12/21
  26. 26.What is (−6/7) + (−7/8)? (a) 97/56 (b) −97/56 (c) 1/56 (d) −13/15
  27. 27.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −1/2 (b) −4/8 (c) −2/1 (d) 1/2
  28. 28.Write −10/18 in standard form (lowest terms, positive denominator). (a) −10/18 (b) 5/9 (c) −5/9 (d) −9/5
  29. 29.What is the additive inverse of 5/8? (a) 8/5 (b) 5/8 (c) −5/8 (d) −8/5
  30. 30.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) 3/5 (c) −5/3 (d) 5/3
  31. 31.Is 7/9 positive or negative? (a) Positive (b) Negative
  32. 32.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −9/2 (c) −2/9 (d) 9/2
  33. 33.What is 1/5 + (−1/8)? (a) −3/40 (b) 3/40 (c) 0 (d) 13/40
  34. 34.Which is smaller: −2/3 or −5/9? (a) −2/3 (b) −5/9
  35. 35.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −14/18 (b) 7/9 (c) −7/9 (d) −9/7
  36. 36.Which is smaller: −1/7 or −5/6? (a) −5/6 (b) −1/7
  37. 37.Which is bigger: −5/6 or −7/9? (a) −5/6 (b) −7/9
  38. 38.What is 1/9 − (−1/6)? (a) 2/15 (b) −1/18 (c) −5/18 (d) 5/18
  39. 39.What is (−5/9) − (−1/6)? (a) 7/18 (b) −13/18 (c) −4/15 (d) −7/18
  40. 40.What is (−2/7) + 2/3? (a) −8/21 (b) −20/21 (c) 8/21 (d) 0

Answer key

  1. 7/8
  2. −5/6
  3. Positive
  4. Negative
  5. Negative
  6. 41/56
  7. −7/9
  8. −7/9
  9. 94/63
  10. −3/7
  11. −5/8
  12. −67/45
  13. 1/5
  14. 5/18
  15. −3/10
  16. Negative
  17. 23/72
  18. Negative
  19. 9/2
  20. −3/7
  21. −5/8
  22. −3/5
  23. 1/30
  24. Negative
  25. −4/7
  26. −97/56
  27. −1/2
  28. −5/9
  29. −5/8
  30. 5/3
  31. Positive
  32. −9/2
  33. 3/40
  34. −2/3
  35. −7/9
  36. −5/6
  37. −7/9
  38. 5/18
  39. −7/18
  40. 8/21

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