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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 909 · 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.Is −2/6 positive or negative? (a) Negative (b) Positive
  2. 2.Is −6/9 positive or negative? (a) Negative (b) Positive
  3. 3.What is the additive inverse of 7/9? (a) −7/9 (b) 9/7 (c) 7/9 (d) −9/7
  4. 4.What is (−3/7) − 6/7? (a) −9/14 (b) −9/7 (c) 3/7 (d) 9/7
  5. 5.Which is smaller: −4/7 or −5/9? (a) −4/7 (b) −5/9
  6. 6.What is (−1/5) − (−2/5)? (a) 1/10 (b) 1/5 (c) −1/5 (d) −3/5
  7. 7.Write −4/36 in standard form (lowest terms, positive denominator). (a) −1/9 (b) −4/36 (c) 1/9 (d) −9/1
  8. 8.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  9. 9.What is the reciprocal (multiplicative inverse) of 3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  10. 10.What is (−2/7) − (−6/7)? (a) −8/7 (b) 2/7 (c) −4/7 (d) 4/7
  11. 11.What is (−1/6) + 1/2? (a) −1/3 (b) −2/3 (c) 0 (d) 1/3
  12. 12.What is (−1/5) − (−5/8)? (a) −33/40 (b) −17/40 (c) 4/13 (d) 17/40
  13. 13.What is (−5/7) − 1/2? (a) 17/14 (b) −2/3 (c) −3/14 (d) −17/14
  14. 14.What is (−3/8) − 5/6? (a) −4/7 (b) −29/24 (c) 11/24 (d) 29/24
  15. 15.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) 5/3 (c) 3/5 (d) −3/5
  16. 16.What is (−1/2) − 1/5? (a) 7/10 (b) −2/7 (c) −3/10 (d) −7/10
  17. 17.What is (−5/9) + (−4/5)? (a) −9/14 (b) 11/45 (c) −61/45 (d) 61/45
  18. 18.Which is bigger: −7/8 or 8/9? (a) −7/8 (b) 8/9
  19. 19.Is −3/6 positive or negative? (a) Positive (b) Negative
  20. 20.What is the reciprocal (multiplicative inverse) of −4/5? (a) −5/4 (b) 4/5 (c) 5/4 (d) −4/5
  21. 21.What is (−1/6) + (−2/9)? (a) 1/18 (b) 7/18 (c) −1/5 (d) −7/18
  22. 22.Which is bigger: −1/7 or −1/5? (a) −1/7 (b) −1/5
  23. 23.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  24. 24.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −24/27 (d) 8/9
  25. 25.What is (−7/9) − (−1/6)? (a) 11/18 (b) −11/18 (c) −17/18 (d) −2/5
  26. 26.What is the reciprocal (multiplicative inverse) of −1/5? (a) 5 (b) −1/5 (c) 1/5 (d) −5
  27. 27.What is (−3/5) − 2/9? (a) −17/45 (b) 37/45 (c) −37/45 (d) −5/14
  28. 28.What is the additive inverse of −4/9? (a) −9/4 (b) 4/9 (c) −4/9 (d) 9/4
  29. 29.Is −9/(−6) positive or negative? (a) Positive (b) Negative
  30. 30.Which is bigger: −7/8 or −5/6? (a) −7/8 (b) −5/6
  31. 31.Is 4/2 positive or negative? (a) Positive (b) Negative
  32. 32.Which is bigger: −8/9 or −5/8? (a) −5/8 (b) −8/9
  33. 33.Which is smaller: −1/2 or −1/9? (a) −1/2 (b) −1/9
  34. 34.Write −4/16 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/16 (c) 1/4 (d) −4/1
  35. 35.What is (−4/5) + 8/9? (a) −4/45 (b) 2/7 (c) −76/45 (d) 4/45
  36. 36.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −35/40 (d) −7/8
  37. 37.What is (−1/3) − (−1/3)? (a) −2/3 (b) 0
  38. 38.What is the reciprocal (multiplicative inverse) of 4/9? (a) 4/9 (b) −9/4 (c) −4/9 (d) 9/4
  39. 39.What is 1/8 + (−2/3)? (a) −13/24 (b) 13/24 (c) 19/24 (d) −1/11
  40. 40.What is (−1/8) + (−2/3)? (a) 19/24 (b) 13/24 (c) −19/24 (d) −3/11

Answer key

  1. Negative
  2. Negative
  3. −7/9
  4. −9/7
  5. −4/7
  6. 1/5
  7. −1/9
  8. Positive
  9. 8/3
  10. 4/7
  11. 1/3
  12. 17/40
  13. −17/14
  14. −29/24
  15. −5/3
  16. −7/10
  17. −61/45
  18. 8/9
  19. Negative
  20. −5/4
  21. −7/18
  22. −1/7
  23. Positive
  24. −8/9
  25. −11/18
  26. −5
  27. −37/45
  28. 4/9
  29. Positive
  30. −5/6
  31. Positive
  32. −5/8
  33. −1/2
  34. −1/4
  35. 4/45
  36. −7/8
  37. 0
  38. 9/4
  39. −13/24
  40. −19/24

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