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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 746 · 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 1/5 + (−1/3)? (a) 0 (b) 2/15 (c) 8/15 (d) −2/15
  2. 2.What is the additive inverse of 2/9? (a) −2/9 (b) −9/2 (c) 2/9 (d) 9/2
  3. 3.What is (−1/6) − 2/3? (a) −5/6 (b) 5/6 (c) 1/2 (d) −1/3
  4. 4.Is 6/4 positive or negative? (a) Negative (b) Positive
  5. 5.What is the reciprocal (multiplicative inverse) of 1/6? (a) −1/6 (b) 6 (c) −6 (d) 1/6
  6. 6.Which is bigger: −1/2 or −1/6? (a) −1/2 (b) −1/6
  7. 7.Which is bigger: −1/2 or 2/9? (a) −1/2 (b) 2/9
  8. 8.What is (−6/7) − 8/9? (a) 110/63 (b) 2/63 (c) −7/8 (d) −110/63
  9. 9.What is (−5/9) + (−7/8)? (a) 23/72 (b) 103/72 (c) −12/17 (d) −103/72
  10. 10.What is (−2/5) + (−1/6)? (a) −3/11 (b) 17/30 (c) −7/30 (d) −17/30
  11. 11.Is 1/9 positive or negative? (a) Positive (b) Negative
  12. 12.What is the additive inverse of −2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
  13. 13.Which is bigger: −4/9 or 5/7? (a) 5/7 (b) −4/9
  14. 14.Is −5/(−2) positive or negative? (a) Negative (b) Positive
  15. 15.What is the reciprocal (multiplicative inverse) of 2/9? (a) −9/2 (b) −2/9 (c) 9/2 (d) 2/9
  16. 16.Write −15/35 in standard form (lowest terms, positive denominator). (a) −15/35 (b) −3/7 (c) 3/7 (d) −7/3
  17. 17.Which is bigger: −5/7 or 2/5? (a) 2/5 (b) −5/7
  18. 18.Is −8/(−4) positive or negative? (a) Positive (b) Negative
  19. 19.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) 1/8 (d) −3/24
  20. 20.Is −1/2 positive or negative? (a) Positive (b) Negative
  21. 21.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −5/9 (b) 5/9 (c) −9/5 (d) −30/54
  22. 22.Which is bigger: −5/9 or −5/6? (a) −5/9 (b) −5/6
  23. 23.Write −36/42 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) −36/42 (d) 6/7
  24. 24.What is the reciprocal (multiplicative inverse) of −5/7? (a) 7/5 (b) −7/5 (c) 5/7 (d) −5/7
  25. 25.What is 1/2 + (−1/2)? (a) 1 (b) 0
  26. 26.Which is bigger: −2/5 or −1/3? (a) −1/3 (b) −2/5
  27. 27.What is (−2/3) + 2/3? (a) −4/3 (b) 0
  28. 28.Is −7/8 positive or negative? (a) Positive (b) Negative
  29. 29.What is the reciprocal (multiplicative inverse) of −1/8? (a) −8 (b) −1/8 (c) 1/8 (d) 8
  30. 30.What is 3/5 + (−5/8)? (a) 49/40 (b) −1/40 (c) 1/40 (d) −2/13
  31. 31.Which is bigger: −2/7 or 5/9? (a) −2/7 (b) 5/9
  32. 32.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −3/12 (b) −4/1 (c) 1/4 (d) −1/4
  33. 33.Is −9/3 positive or negative? (a) Negative (b) Positive
  34. 34.What is the reciprocal (multiplicative inverse) of −7/8? (a) 8/7 (b) 7/8 (c) −8/7 (d) −7/8
  35. 35.What is (−1/5) + 3/4? (a) −19/20 (b) 2/9 (c) −11/20 (d) 11/20
  36. 36.Is 1/8 positive or negative? (a) Positive (b) Negative
  37. 37.What is (−1/3) + (−1/3)? (a) 2/3 (b) 0 (c) −2/3 (d) −1/3
  38. 38.What is the additive inverse of −5/9? (a) −9/5 (b) 9/5 (c) −5/9 (d) 5/9
  39. 39.What is 2/3 − (−1/4)? (a) 11/12 (b) 3/7 (c) −11/12 (d) 5/12
  40. 40.Which is smaller: −6/7 or −8/9? (a) −8/9 (b) −6/7

Answer key

  1. −2/15
  2. −2/9
  3. −5/6
  4. Positive
  5. 6
  6. −1/6
  7. 2/9
  8. −110/63
  9. −103/72
  10. −17/30
  11. Positive
  12. 2/9
  13. 5/7
  14. Positive
  15. 9/2
  16. −3/7
  17. 2/5
  18. Positive
  19. −1/8
  20. Negative
  21. −5/9
  22. −5/9
  23. −6/7
  24. −7/5
  25. 0
  26. −1/3
  27. 0
  28. Negative
  29. −8
  30. −1/40
  31. 5/9
  32. −1/4
  33. Negative
  34. −8/7
  35. 11/20
  36. Positive
  37. −2/3
  38. 5/9
  39. 11/12
  40. −8/9

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