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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 85 · 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: −1/3 or 1/9? (a) 1/9 (b) −1/3
  2. 2.What is (−7/8) − 1/3? (a) −13/24 (b) 29/24 (c) −8/11 (d) −29/24
  3. 3.Write −6/54 in standard form (lowest terms, positive denominator). (a) −6/54 (b) −9/1 (c) −1/9 (d) 1/9
  4. 4.Which is smaller: −8/9 or −3/7? (a) −3/7 (b) −8/9
  5. 5.What is (−1/5) + (−1/3)? (a) −8/15 (b) 2/15 (c) −1/4 (d) 8/15
  6. 6.Write −4/14 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −2/7 (d) −4/14
  7. 7.What is (−4/5) + 4/5? (a) 0 (b) −8/5
  8. 8.Is 1/9 positive or negative? (a) Negative (b) Positive
  9. 9.What is (−7/9) − (−3/4)? (a) 1/36 (b) −4/13 (c) −1/36 (d) −55/36
  10. 10.Write −28/36 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −9/7 (d) −28/36
  11. 11.Is 2/4 positive or negative? (a) Negative (b) Positive
  12. 12.What is 3/7 − (−4/7)? (a) −1 (b) −1/7 (c) 1 (d) 1/2
  13. 13.Is −4/9 positive or negative? (a) Negative (b) Positive
  14. 14.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −3/7 (b) −12/28 (c) 3/7 (d) −7/3
  15. 15.Which is smaller: −7/9 or −2/3? (a) −2/3 (b) −7/9
  16. 16.Is −5/(−8) positive or negative? (a) Negative (b) Positive
  17. 17.Is −6/(−4) positive or negative? (a) Positive (b) Negative
  18. 18.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −12/16 (b) −4/3 (c) −3/4 (d) 3/4
  19. 19.Write −6/42 in standard form (lowest terms, positive denominator). (a) −1/7 (b) −6/42 (c) −7/1 (d) 1/7
  20. 20.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) 3 (c) 1/3 (d) −3
  21. 21.Which is bigger: −8/9 or 4/7? (a) 4/7 (b) −8/9
  22. 22.Is −3/5 positive or negative? (a) Negative (b) Positive
  23. 23.What is (−4/5) − (−4/7)? (a) 0 (b) 8/35 (c) −48/35 (d) −8/35
  24. 24.Is −5/9 positive or negative? (a) Positive (b) Negative
  25. 25.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) −6/7 (c) −7/6 (d) 7/6
  26. 26.What is 1/4 − (−3/5)? (a) −17/20 (b) −7/20 (c) 4/9 (d) 17/20
  27. 27.Write −3/24 in standard form (lowest terms, positive denominator). (a) −3/24 (b) −8/1 (c) 1/8 (d) −1/8
  28. 28.Is 5/8 positive or negative? (a) Negative (b) Positive
  29. 29.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −25/45 (d) −5/9
  30. 30.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −3/9 (c) −1/3 (d) 1/3
  31. 31.Write −2/8 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −2/8 (c) −4/1 (d) −1/4
  32. 32.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) −9/8 (b) 8/9 (c) −8/9 (d) −40/45
  33. 33.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −30/35 (d) −6/7
  34. 34.What is the additive inverse of −1/4? (a) 1/4 (b) −1/4 (c) −4 (d) 4
  35. 35.What is 5/8 − (−3/5)? (a) −49/40 (b) 1/40 (c) 8/13 (d) 49/40
  36. 36.What is 7/8 + (−5/9)? (a) 23/72 (b) −23/72 (c) 103/72 (d) 2/17
  37. 37.What is (−1/5) + (−3/4)? (a) 11/20 (b) −4/9 (c) 19/20 (d) −19/20
  38. 38.What is 3/4 + (−5/6)? (a) 19/12 (b) 1/12 (c) −1/5 (d) −1/12
  39. 39.What is (−1/9) − 5/9? (a) 2/3 (b) −2/3 (c) −1/3 (d) 4/9
  40. 40.Is −2/7 positive or negative? (a) Negative (b) Positive

Answer key

  1. 1/9
  2. −29/24
  3. −1/9
  4. −8/9
  5. −8/15
  6. −2/7
  7. 0
  8. Positive
  9. −1/36
  10. −7/9
  11. Positive
  12. 1
  13. Negative
  14. −3/7
  15. −7/9
  16. Positive
  17. Positive
  18. −3/4
  19. −1/7
  20. −3
  21. 4/7
  22. Negative
  23. −8/35
  24. Negative
  25. 7/6
  26. 17/20
  27. −1/8
  28. Positive
  29. −5/9
  30. −1/3
  31. −1/4
  32. −8/9
  33. −6/7
  34. 1/4
  35. 49/40
  36. 23/72
  37. −19/20
  38. −1/12
  39. −2/3
  40. Negative

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