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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 612 · 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 1/8 − (−5/6)? (a) −23/24 (b) 3/7 (c) −17/24 (d) 23/24
  2. 2.What is the additive inverse of 2/7? (a) −7/2 (b) 7/2 (c) 2/7 (d) −2/7
  3. 3.What is (−5/9) − 2/9? (a) −7/18 (b) 7/9 (c) −1/3 (d) −7/9
  4. 4.Is 1/7 positive or negative? (a) Negative (b) Positive
  5. 5.Write −4/18 in standard form (lowest terms, positive denominator). (a) −4/18 (b) 2/9 (c) −2/9 (d) −9/2
  6. 6.What is (−7/8) − (−7/9)? (a) 7/72 (b) −7/72 (c) 0 (d) −119/72
  7. 7.What is the additive inverse of −5/9? (a) 5/9 (b) −5/9 (c) 9/5 (d) −9/5
  8. 8.Which is bigger: −1/5 or 5/8? (a) 5/8 (b) −1/5
  9. 9.What is (−1/5) − 3/5? (a) 4/5 (b) 2/5 (c) −2/5 (d) −4/5
  10. 10.Write −3/18 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −3/18 (d) −1/6
  11. 11.What is (−2/5) + 7/9? (a) −53/45 (b) 17/45 (c) −17/45 (d) 5/14
  12. 12.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −12/18 (d) −2/3
  13. 13.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −4/3 (d) −18/24
  14. 14.Is −9/(−8) positive or negative? (a) Negative (b) Positive
  15. 15.What is the additive inverse of −1/4? (a) 4 (b) −1/4 (c) −4 (d) 1/4
  16. 16.Is −2/9 positive or negative? (a) Positive (b) Negative
  17. 17.What is the additive inverse of 2/5? (a) −5/2 (b) −2/5 (c) 5/2 (d) 2/5
  18. 18.What is 3/5 + (−1/6)? (a) 23/30 (b) 13/30 (c) −13/30 (d) 2/11
  19. 19.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −20/24 (d) −5/6
  20. 20.What is the additive inverse of 6/7? (a) 6/7 (b) −7/6 (c) 7/6 (d) −6/7
  21. 21.Which is smaller: −1/6 or −1/2? (a) −1/2 (b) −1/6
  22. 22.Which is smaller: −5/6 or −3/7? (a) −5/6 (b) −3/7
  23. 23.What is the additive inverse of −1/7? (a) 1/7 (b) −1/7 (c) −7 (d) 7
  24. 24.What is (−1/3) + 4/9? (a) 1/4 (b) 1/9 (c) −1/9 (d) −7/9
  25. 25.Is 1/(−7) positive or negative? (a) Negative (b) Positive
  26. 26.What is (−2/5) − (−1/3)? (a) −11/15 (b) −1/8 (c) 1/15 (d) −1/15
  27. 27.Which is smaller: −6/7 or 1/3? (a) −6/7 (b) 1/3
  28. 28.What is the additive inverse of −1/5? (a) 1/5 (b) −1/5 (c) 5 (d) −5
  29. 29.What is 7/9 + (−5/8)? (a) 11/72 (b) 2/17 (c) −11/72 (d) 101/72
  30. 30.What is (−5/9) + 4/9? (a) −1/18 (b) −1 (c) 1/9 (d) −1/9
  31. 31.Write −15/20 in standard form (lowest terms, positive denominator). (a) −15/20 (b) −3/4 (c) 3/4 (d) −4/3
  32. 32.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −3/4 (d) −12/16
  33. 33.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  34. 34.What is the additive inverse of 5/8? (a) 5/8 (b) −8/5 (c) −5/8 (d) 8/5
  35. 35.What is (−4/5) − 2/9? (a) −26/45 (b) −46/45 (c) −3/7 (d) 46/45
  36. 36.Which is bigger: −1/5 or −1/9? (a) −1/5 (b) −1/9
  37. 37.What is 3/5 − (−1/2)? (a) 1/10 (b) −11/10 (c) 11/10 (d) 4/7
  38. 38.Is −4/4 positive or negative? (a) Negative (b) Positive
  39. 39.Which is smaller: −1/7 or −4/9? (a) −4/9 (b) −1/7
  40. 40.Which is smaller: −1/4 or −5/7? (a) −5/7 (b) −1/4

Answer key

  1. 23/24
  2. −2/7
  3. −7/9
  4. Positive
  5. −2/9
  6. −7/72
  7. 5/9
  8. 5/8
  9. −4/5
  10. −1/6
  11. 17/45
  12. −2/3
  13. −3/4
  14. Positive
  15. 1/4
  16. Negative
  17. −2/5
  18. 13/30
  19. −5/6
  20. −6/7
  21. −1/2
  22. −5/6
  23. 1/7
  24. 1/9
  25. Negative
  26. −1/15
  27. −6/7
  28. 1/5
  29. 11/72
  30. −1/9
  31. −3/4
  32. −3/4
  33. Positive
  34. −5/8
  35. −46/45
  36. −1/9
  37. 11/10
  38. Negative
  39. −4/9
  40. −5/7

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