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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 564 · 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.Which is bigger: −5/9 or −1/4? (a) −5/9 (b) −1/4
  2. 2.Is 6/2 positive or negative? (a) Positive (b) Negative
  3. 3.What is (−4/9) + (−4/7)? (a) −64/63 (b) 64/63 (c) −1/2 (d) 8/63
  4. 4.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  5. 5.What is (−2/5) − 1/9? (a) 23/45 (b) −3/14 (c) −13/45 (d) −23/45
  6. 6.Which is bigger: −2/9 or 8/9? (a) −2/9 (b) 8/9
  7. 7.Which is bigger: −1/6 or −4/5? (a) −1/6 (b) −4/5
  8. 8.Which is smaller: −1/9 or −3/4? (a) −1/9 (b) −3/4
  9. 9.What is (−1/6) − (−2/5)? (a) 1/11 (b) 7/30 (c) −7/30 (d) −17/30
  10. 10.Is −1/5 positive or negative? (a) Negative (b) Positive
  11. 11.Is 2/2 positive or negative? (a) Positive (b) Negative
  12. 12.What is the reciprocal (multiplicative inverse) of 7/9? (a) 7/9 (b) −9/7 (c) −7/9 (d) 9/7
  13. 13.What is 1/8 + (−1/8)? (a) 1/4 (b) 0
  14. 14.Is 1/8 positive or negative? (a) Negative (b) Positive
  15. 15.What is the reciprocal (multiplicative inverse) of 1/9? (a) 9 (b) 1/9 (c) −1/9 (d) −9
  16. 16.Which is smaller: −3/4 or 3/8? (a) −3/4 (b) 3/8
  17. 17.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  18. 18.Write −14/18 in standard form (lowest terms, positive denominator). (a) −7/9 (b) −14/18 (c) −9/7 (d) 7/9
  19. 19.What is (−1/9) − (−1/2)? (a) −11/18 (b) 0 (c) −7/18 (d) 7/18
  20. 20.Write −28/36 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) 7/9 (d) −28/36
  21. 21.What is 4/7 − (−4/5)? (a) −8/35 (b) 48/35 (c) 2/3 (d) −48/35
  22. 22.Which is smaller: −5/7 or −5/9? (a) −5/9 (b) −5/7
  23. 23.Which is bigger: −3/7 or 1/6? (a) 1/6 (b) −3/7
  24. 24.Is 4/(−5) positive or negative? (a) Negative (b) Positive
  25. 25.Which is smaller: −2/7 or 2/3? (a) −2/7 (b) 2/3
  26. 26.What is (−7/8) + 1/4? (a) −9/8 (b) 5/8 (c) −1/2 (d) −5/8
  27. 27.Which is smaller: −3/5 or −3/4? (a) −3/5 (b) −3/4
  28. 28.Which is smaller: −2/5 or 8/9? (a) 8/9 (b) −2/5
  29. 29.Which is bigger: −2/3 or 5/8? (a) 5/8 (b) −2/3
  30. 30.What is (−1/5) + (−3/4)? (a) 11/20 (b) −4/9 (c) −19/20 (d) 19/20
  31. 31.Is 9/(−6) positive or negative? (a) Positive (b) Negative
  32. 32.Which is bigger: −1/8 or 1/7? (a) −1/8 (b) 1/7
  33. 33.What is (−1/3) − 4/7? (a) 5/21 (b) 19/21 (c) −19/21 (d) −1/2
  34. 34.What is (−4/5) − 5/7? (a) −3/4 (b) −3/35 (c) −53/35 (d) 53/35
  35. 35.What is (−1/6) − (−4/7)? (a) −17/42 (b) 17/42 (c) −31/42 (d) 3/13
  36. 36.Write −15/40 in standard form (lowest terms, positive denominator). (a) −3/8 (b) −15/40 (c) −8/3 (d) 3/8
  37. 37.Is 6/5 positive or negative? (a) Negative (b) Positive
  38. 38.What is the additive inverse of −7/8? (a) 8/7 (b) −7/8 (c) 7/8 (d) −8/7
  39. 39.Which is bigger: −2/9 or −1/7? (a) −2/9 (b) −1/7
  40. 40.Which is smaller: −2/9 or 1/4? (a) 1/4 (b) −2/9

Answer key

  1. −1/4
  2. Positive
  3. −64/63
  4. Positive
  5. −23/45
  6. 8/9
  7. −1/6
  8. −3/4
  9. 7/30
  10. Negative
  11. Positive
  12. 9/7
  13. 0
  14. Positive
  15. 9
  16. −3/4
  17. 3/2
  18. −7/9
  19. 7/18
  20. −7/9
  21. 48/35
  22. −5/7
  23. 1/6
  24. Negative
  25. −2/7
  26. −5/8
  27. −3/4
  28. −2/5
  29. 5/8
  30. −19/20
  31. Negative
  32. 1/7
  33. −19/21
  34. −53/35
  35. 17/42
  36. −3/8
  37. Positive
  38. 7/8
  39. −1/7
  40. −2/9

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