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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 459 · 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 (−5/9) + (−2/9)? (a) −7/9 (b) 7/9 (c) −7/18 (d) −1/3
  2. 2.What is 4/9 + (−1/8)? (a) 3/17 (b) −23/72 (c) 23/72 (d) 41/72
  3. 3.Is 6/4 positive or negative? (a) Negative (b) Positive
  4. 4.Which is bigger: −3/4 or −1/2? (a) −1/2 (b) −3/4
  5. 5.What is (−1/4) + 1/7? (a) 3/28 (b) 0 (c) −3/28 (d) −11/28
  6. 6.Write −10/14 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −10/14 (c) 5/7 (d) −7/5
  7. 7.What is 3/5 − (−1/5)? (a) −4/5 (b) 2/5 (c) 4/5
  8. 8.Is −2/9 positive or negative? (a) Negative (b) Positive
  9. 9.Is 3/(−7) positive or negative? (a) Positive (b) Negative
  10. 10.Which is smaller: −1/5 or 4/5? (a) 4/5 (b) −1/5
  11. 11.Which is smaller: −3/4 or 4/5? (a) 4/5 (b) −3/4
  12. 12.What is the additive inverse of −7/9? (a) −7/9 (b) 9/7 (c) 7/9 (d) −9/7
  13. 13.What is the additive inverse of −2/9? (a) −2/9 (b) 2/9 (c) 9/2 (d) −9/2
  14. 14.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) −32/36 (b) 8/9 (c) −8/9 (d) −9/8
  15. 15.Is −3/5 positive or negative? (a) Positive (b) Negative
  16. 16.What is (−2/9) + 4/7? (a) −50/63 (b) −22/63 (c) 1/8 (d) 22/63
  17. 17.Write −15/27 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −15/27 (c) 5/9 (d) −9/5
  18. 18.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −20/35 (b) −7/4 (c) 4/7 (d) −4/7
  19. 19.What is (−1/4) + 3/8? (a) −1/8 (b) −5/8 (c) 1/6 (d) 1/8
  20. 20.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8
  21. 21.Is 7/7 positive or negative? (a) Negative (b) Positive
  22. 22.What is (−1/4) − 2/3? (a) 11/12 (b) −3/7 (c) −11/12 (d) 5/12
  23. 23.What is 1/4 + (−1/8)? (a) −1/8 (b) 0 (c) 3/8 (d) 1/8
  24. 24.What is (−2/3) + 2/7? (a) 8/21 (b) −8/21 (c) −20/21 (d) 0
  25. 25.Which is smaller: −5/6 or −3/5? (a) −5/6 (b) −3/5
  26. 26.Which is bigger: −7/8 or −4/7? (a) −7/8 (b) −4/7
  27. 27.What is 2/9 + (−5/8)? (a) −29/72 (b) 29/72 (c) −3/17 (d) 61/72
  28. 28.What is the additive inverse of −1/3? (a) −1/3 (b) −3 (c) 1/3 (d) 3
  29. 29.Which is smaller: −1/9 or −1/8? (a) −1/9 (b) −1/8
  30. 30.Which is smaller: −3/4 or −6/7? (a) −6/7 (b) −3/4
  31. 31.Which is smaller: −6/7 or 4/5? (a) −6/7 (b) 4/5
  32. 32.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) −30/35 (b) −7/6 (c) −6/7 (d) 6/7
  33. 33.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −2/4 (d) −2/1
  34. 34.What is (−1/2) − 5/7? (a) 3/14 (b) 17/14 (c) −2/3 (d) −17/14
  35. 35.What is the reciprocal (multiplicative inverse) of −1/5? (a) −1/5 (b) −5 (c) 5 (d) 1/5
  36. 36.Which is smaller: −1/9 or −1/3? (a) −1/3 (b) −1/9
  37. 37.Which is bigger: −5/6 or −3/7? (a) −3/7 (b) −5/6
  38. 38.What is 2/9 + (−1/8)? (a) 7/72 (b) −7/72 (c) 25/72 (d) 1/17
  39. 39.What is the additive inverse of 6/7? (a) −7/6 (b) 7/6 (c) −6/7 (d) 6/7
  40. 40.What is the additive inverse of 8/9? (a) −8/9 (b) 8/9 (c) 9/8 (d) −9/8

Answer key

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

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