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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 510 · 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 2/7 positive or negative? (a) Negative (b) Positive
  2. 2.What is (−2/5) − 1/8? (a) −11/40 (b) −21/40 (c) 21/40 (d) −3/13
  3. 3.Is −3/4 positive or negative? (a) Negative (b) Positive
  4. 4.What is 5/9 − (−5/9)? (a) 0 (b) 5/9 (c) −10/9 (d) 10/9
  5. 5.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) 5/3 (c) −5/3 (d) −3/5
  6. 6.Which is smaller: −2/5 or −1/7? (a) −1/7 (b) −2/5
  7. 7.Which is smaller: −7/8 or 2/3? (a) 2/3 (b) −7/8
  8. 8.Which is bigger: −2/3 or 1/3? (a) −2/3 (b) 1/3
  9. 9.What is (−1/8) + (−2/3)? (a) 19/24 (b) −19/24 (c) −3/11 (d) 13/24
  10. 10.Is −2/8 positive or negative? (a) Positive (b) Negative
  11. 11.What is (−1/4) − 3/8? (a) 1/8 (b) 5/8 (c) −5/8 (d) −1/3
  12. 12.Which is smaller: −2/3 or 5/7? (a) −2/3 (b) 5/7
  13. 13.Is −9/5 positive or negative? (a) Positive (b) Negative
  14. 14.What is 8/9 − (−1/2)? (a) −25/18 (b) 25/18 (c) 7/18 (d) 9/11
  15. 15.Which is smaller: −1/3 or −7/8? (a) −7/8 (b) −1/3
  16. 16.Which is smaller: −1/7 or 2/3? (a) 2/3 (b) −1/7
  17. 17.What is the additive inverse of −1/7? (a) 1/7 (b) 7 (c) −1/7 (d) −7
  18. 18.Which is bigger: −2/9 or −2/5? (a) −2/9 (b) −2/5
  19. 19.What is 1/8 − (−1/6)? (a) 1/7 (b) −7/24 (c) 7/24 (d) −1/24
  20. 20.What is (−2/5) + 5/7? (a) 1/4 (b) −39/35 (c) 11/35 (d) −11/35
  21. 21.Is −3/2 positive or negative? (a) Positive (b) Negative
  22. 22.What is (−1/6) + (−3/5)? (a) −4/11 (b) 13/30 (c) 23/30 (d) −23/30
  23. 23.What is 4/5 − (−5/7)? (a) 53/35 (b) 3/4 (c) −53/35 (d) 3/35
  24. 24.What is (−6/7) − (−7/8)? (a) 1/56 (b) −1/56 (c) 1/15 (d) −97/56
  25. 25.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −9/4 (d) −20/45
  26. 26.What is (−2/7) + (−4/5)? (a) −1/2 (b) 18/35 (c) −38/35 (d) 38/35
  27. 27.Which is bigger: −1/2 or −5/8? (a) −1/2 (b) −5/8
  28. 28.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −21/24 (b) 7/8 (c) −8/7 (d) −7/8
  29. 29.Which is bigger: −1/6 or −3/7? (a) −3/7 (b) −1/6
  30. 30.What is 2/9 − (−1/4)? (a) 3/13 (b) 17/36 (c) −17/36 (d) −1/36
  31. 31.What is (−4/9) + 5/8? (a) −13/72 (b) 13/72 (c) −77/72 (d) 1/17
  32. 32.Is 2/(−7) positive or negative? (a) Positive (b) Negative
  33. 33.What is 5/9 − (−1/2)? (a) 6/11 (b) 1/18 (c) 19/18 (d) −19/18
  34. 34.What is (−2/5) + 1/8? (a) −1/13 (b) 11/40 (c) −21/40 (d) −11/40
  35. 35.What is (−1/5) + (−3/7)? (a) 22/35 (b) −22/35 (c) 8/35 (d) −1/3
  36. 36.Which is bigger: −1/5 or 5/8? (a) 5/8 (b) −1/5
  37. 37.What is the additive inverse of 2/7? (a) 2/7 (b) 7/2 (c) −2/7 (d) −7/2
  38. 38.Is 6/(−9) positive or negative? (a) Negative (b) Positive
  39. 39.Is 4/9 positive or negative? (a) Negative (b) Positive
  40. 40.Write −6/15 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −6/15 (d) −5/2

Answer key

  1. Positive
  2. −21/40
  3. Negative
  4. 10/9
  5. −5/3
  6. −2/5
  7. −7/8
  8. 1/3
  9. −19/24
  10. Negative
  11. −5/8
  12. −2/3
  13. Negative
  14. 25/18
  15. −7/8
  16. −1/7
  17. 1/7
  18. −2/9
  19. 7/24
  20. 11/35
  21. Negative
  22. −23/30
  23. 53/35
  24. 1/56
  25. −4/9
  26. −38/35
  27. −1/2
  28. −7/8
  29. −1/6
  30. 17/36
  31. 13/72
  32. Negative
  33. 19/18
  34. −11/40
  35. −22/35
  36. 5/8
  37. −2/7
  38. Negative
  39. Positive
  40. −2/5

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