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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 682 · 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 (−2/5) − (−7/9)? (a) −17/45 (b) 5/14 (c) −53/45 (d) 17/45
  2. 2.What is 5/8 − (−1/3)? (a) 23/24 (b) −23/24 (c) 6/11 (d) 7/24
  3. 3.What is the additive inverse of −2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  4. 4.Is −3/(−8) positive or negative? (a) Positive (b) Negative
  5. 5.Which is bigger: −1/7 or 2/7? (a) −1/7 (b) 2/7
  6. 6.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −15/18 (d) −6/5
  7. 7.Which is smaller: −8/9 or 5/9? (a) 5/9 (b) −8/9
  8. 8.What is (−1/7) + 1/3? (a) −10/21 (b) 4/21 (c) 0 (d) −4/21
  9. 9.Write −6/16 in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) −6/16 (d) 3/8
  10. 10.Is 9/6 positive or negative? (a) Negative (b) Positive
  11. 11.Is 4/(−5) positive or negative? (a) Negative (b) Positive
  12. 12.Is 1/(−3) positive or negative? (a) Positive (b) Negative
  13. 13.Is 3/(−4) positive or negative? (a) Negative (b) Positive
  14. 14.Which is smaller: −1/4 or −2/5? (a) −1/4 (b) −2/5
  15. 15.What is the additive inverse of −7/8? (a) 8/7 (b) 7/8 (c) −7/8 (d) −8/7
  16. 16.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) 7/2 (c) 2/7 (d) −7/2
  17. 17.Which is smaller: −7/8 or −3/7? (a) −3/7 (b) −7/8
  18. 18.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −3/18 (c) −6/1 (d) −1/6
  19. 19.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −4/18 (b) 2/9 (c) −9/2 (d) −2/9
  20. 20.What is 1/4 + (−3/5)? (a) 7/20 (b) −2/9 (c) −7/20 (d) 17/20
  21. 21.What is the additive inverse of −5/8? (a) −8/5 (b) 5/8 (c) 8/5 (d) −5/8
  22. 22.Which is bigger: −4/9 or −4/5? (a) −4/9 (b) −4/5
  23. 23.What is (−1/9) − 3/7? (a) 34/63 (b) 20/63 (c) −1/4 (d) −34/63
  24. 24.Which is smaller: −8/9 or −2/3? (a) −2/3 (b) −8/9
  25. 25.What is (−3/4) + (−4/9)? (a) −11/36 (b) 43/36 (c) −7/13 (d) −43/36
  26. 26.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) −6/5 (c) 6/5 (d) 5/6
  27. 27.What is (−6/7) + (−3/4)? (a) −45/28 (b) −9/11 (c) 45/28 (d) −3/28
  28. 28.Write −3/18 in standard form (lowest terms, positive denominator). (a) −3/18 (b) −1/6 (c) 1/6 (d) −6/1
  29. 29.Which is smaller: −1/4 or 7/8? (a) −1/4 (b) 7/8
  30. 30.Which is smaller: −4/7 or −1/3? (a) −4/7 (b) −1/3
  31. 31.What is the additive inverse of 4/7? (a) 7/4 (b) 4/7 (c) −7/4 (d) −4/7
  32. 32.What is (−7/9) − (−2/3)? (a) 1/9 (b) −5/12 (c) −13/9 (d) −1/9
  33. 33.Write −3/21 in standard form (lowest terms, positive denominator). (a) −3/21 (b) −7/1 (c) −1/7 (d) 1/7
  34. 34.Which is bigger: −1/7 or −6/7? (a) −1/7 (b) −6/7
  35. 35.What is 1/5 + (−3/8)? (a) −2/13 (b) 23/40 (c) −7/40 (d) 7/40
  36. 36.Is −9/2 positive or negative? (a) Negative (b) Positive
  37. 37.What is (−7/8) − (−3/5)? (a) −4/13 (b) −11/40 (c) 11/40 (d) −59/40
  38. 38.Write −5/25 in standard form (lowest terms, positive denominator). (a) −5/25 (b) −5/1 (c) −1/5 (d) 1/5
  39. 39.What is 3/4 + (−4/7)? (a) 5/28 (b) −5/28 (c) −1/11 (d) 37/28
  40. 40.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −2/3 (d) −6/9

Answer key

  1. 17/45
  2. 23/24
  3. 2/5
  4. Positive
  5. 2/7
  6. −5/6
  7. −8/9
  8. 4/21
  9. −3/8
  10. Positive
  11. Negative
  12. Negative
  13. Negative
  14. −2/5
  15. 7/8
  16. −7/2
  17. −7/8
  18. −1/6
  19. −2/9
  20. −7/20
  21. 5/8
  22. −4/9
  23. −34/63
  24. −8/9
  25. −43/36
  26. 6/5
  27. −45/28
  28. −1/6
  29. −1/4
  30. −4/7
  31. −4/7
  32. −1/9
  33. −1/7
  34. −1/7
  35. −7/40
  36. Negative
  37. −11/40
  38. −1/5
  39. 5/28
  40. −2/3

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