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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 943 · 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 the additive inverse of −3/5? (a) −5/3 (b) 5/3 (c) −3/5 (d) 3/5
  2. 2.What is (−3/8) − (−5/8)? (a) −1/4 (b) −1 (c) 1/8 (d) 1/4
  3. 3.Which is bigger: −1/6 or −4/7? (a) −1/6 (b) −4/7
  4. 4.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
  5. 5.Is −7/5 positive or negative? (a) Positive (b) Negative
  6. 6.What is (−1/2) − (−1/5)? (a) −3/10 (b) −7/10 (c) 0 (d) 3/10
  7. 7.Is −8/3 positive or negative? (a) Positive (b) Negative
  8. 8.What is 1/9 − (−4/7)? (a) 43/63 (b) 5/16 (c) −29/63 (d) −43/63
  9. 9.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −7/9 (d) −28/36
  10. 10.Which is smaller: −3/8 or −5/9? (a) −5/9 (b) −3/8
  11. 11.Is 9/8 positive or negative? (a) Positive (b) Negative
  12. 12.Write −8/20 in standard form (lowest terms, positive denominator). (a) −8/20 (b) −2/5 (c) 2/5 (d) −5/2
  13. 13.Is 5/3 positive or negative? (a) Positive (b) Negative
  14. 14.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) −32/36 (b) −9/8 (c) 8/9 (d) −8/9
  15. 15.What is 1/2 + (−1/3)? (a) 1/6 (b) 5/6 (c) 0 (d) −1/6
  16. 16.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) 9/4 (c) −9/4 (d) −4/9
  17. 17.What is (−3/7) − (−3/4)? (a) 0 (b) −9/28 (c) 9/28 (d) −33/28
  18. 18.What is (−4/7) + 4/7? (a) 0 (b) −8/7
  19. 19.What is the additive inverse of −3/7? (a) 3/7 (b) 7/3 (c) −3/7 (d) −7/3
  20. 20.What is (−3/5) + (−1/4)? (a) −17/20 (b) 17/20 (c) −4/9 (d) −7/20
  21. 21.Is −2/3 positive or negative? (a) Positive (b) Negative
  22. 22.What is (−5/7) − 7/8? (a) −4/5 (b) 89/56 (c) −89/56 (d) 9/56
  23. 23.What is (−1/3) − 5/9? (a) 8/9 (b) −1/2 (c) 2/9 (d) −8/9
  24. 24.What is (−1/5) + (−5/7)? (a) 32/35 (b) 18/35 (c) −1/2 (d) −32/35
  25. 25.Which is bigger: −1/5 or 1/4? (a) 1/4 (b) −1/5
  26. 26.What is the additive inverse of −4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  27. 27.Which is smaller: −3/8 or −2/9? (a) −3/8 (b) −2/9
  28. 28.What is 3/4 − (−2/7)? (a) 13/28 (b) 5/11 (c) −29/28 (d) 29/28
  29. 29.What is (−2/3) − 1/9? (a) −1/4 (b) −5/9 (c) −7/9 (d) 7/9
  30. 30.Is 8/(−7) positive or negative? (a) Positive (b) Negative
  31. 31.What is 3/7 − (−3/5)? (a) −36/35 (b) 1/2 (c) 36/35 (d) −6/35
  32. 32.Write −16/28 in standard form (lowest terms, positive denominator). (a) −16/28 (b) −7/4 (c) 4/7 (d) −4/7
  33. 33.What is the reciprocal (multiplicative inverse) of −5/7? (a) −5/7 (b) 5/7 (c) 7/5 (d) −7/5
  34. 34.Which is bigger: −5/8 or −2/7? (a) −2/7 (b) −5/8
  35. 35.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −12/30 (c) −5/2 (d) −2/5
  36. 36.Which is smaller: −1/2 or 5/7? (a) 5/7 (b) −1/2
  37. 37.Which is smaller: −4/5 or 1/2? (a) 1/2 (b) −4/5
  38. 38.Which is bigger: −1/5 or −3/8? (a) −1/5 (b) −3/8
  39. 39.Is −8/5 positive or negative? (a) Positive (b) Negative
  40. 40.What is 1/9 − (−5/9)? (a) −2/3 (b) −4/9 (c) 1/3 (d) 2/3

Answer key

  1. 3/5
  2. 1/4
  3. −1/6
  4. 3/2
  5. Negative
  6. −3/10
  7. Negative
  8. 43/63
  9. −7/9
  10. −5/9
  11. Positive
  12. −2/5
  13. Positive
  14. −8/9
  15. 1/6
  16. −9/4
  17. 9/28
  18. 0
  19. 3/7
  20. −17/20
  21. Negative
  22. −89/56
  23. −8/9
  24. −32/35
  25. 1/4
  26. 4/7
  27. −3/8
  28. 29/28
  29. −7/9
  30. Negative
  31. 36/35
  32. −4/7
  33. −7/5
  34. −2/7
  35. −2/5
  36. −1/2
  37. −4/5
  38. −1/5
  39. Negative
  40. 2/3

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