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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 804 · 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.Write −6/27 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −6/27 (d) −2/9
  2. 2.Which is smaller: −3/7 or −1/3? (a) −1/3 (b) −3/7
  3. 3.What is (−4/9) − (−6/7)? (a) 1/8 (b) −82/63 (c) 26/63 (d) −26/63
  4. 4.Is −9/7 positive or negative? (a) Negative (b) Positive
  5. 5.Write −2/14 in standard form (lowest terms, positive denominator). (a) −2/14 (b) −7/1 (c) −1/7 (d) 1/7
  6. 6.Is −1/4 positive or negative? (a) Negative (b) Positive
  7. 7.Is −2/9 positive or negative? (a) Negative (b) Positive
  8. 8.What is (−2/3) − (−2/9)? (a) −8/9 (b) 4/9 (c) −4/9 (d) 0
  9. 9.Is 1/(−5) positive or negative? (a) Negative (b) Positive
  10. 10.Which is smaller: −4/5 or 5/8? (a) −4/5 (b) 5/8
  11. 11.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −3/21 (b) −1/7 (c) 1/7 (d) −7/1
  12. 12.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −24/30 (c) 4/5 (d) −4/5
  13. 13.Write −6/16 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −3/8 (d) −6/16
  14. 14.Write −2/10 in standard form (lowest terms, positive denominator). (a) −2/10 (b) −5/1 (c) 1/5 (d) −1/5
  15. 15.What is (−2/9) + 1/2? (a) −13/18 (b) −5/18 (c) −1/11 (d) 5/18
  16. 16.What is (−8/9) + 4/5? (a) 4/45 (b) −2/7 (c) −76/45 (d) −4/45
  17. 17.Is −5/(−9) positive or negative? (a) Negative (b) Positive
  18. 18.Which is bigger: −3/5 or −4/9? (a) −3/5 (b) −4/9
  19. 19.Is 2/(−2) positive or negative? (a) Positive (b) Negative
  20. 20.Is −1/8 positive or negative? (a) Negative (b) Positive
  21. 21.Is 6/(−7) positive or negative? (a) Negative (b) Positive
  22. 22.Is −6/(−5) positive or negative? (a) Negative (b) Positive
  23. 23.Which is smaller: −4/5 or 2/5? (a) 2/5 (b) −4/5
  24. 24.What is (−6/7) − (−2/3)? (a) −2/5 (b) −32/21 (c) −4/21 (d) 4/21
  25. 25.Is 2/(−9) positive or negative? (a) Positive (b) Negative
  26. 26.What is the additive inverse of −3/5? (a) 5/3 (b) 3/5 (c) −3/5 (d) −5/3
  27. 27.Write −24/27 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −24/27 (c) −9/8 (d) −8/9
  28. 28.Is −3/(−6) positive or negative? (a) Positive (b) Negative
  29. 29.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) −48/54 (d) 8/9
  30. 30.Write −18/42 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −18/42 (c) −7/3 (d) −3/7
  31. 31.What is the additive inverse of −5/9? (a) −5/9 (b) −9/5 (c) 9/5 (d) 5/9
  32. 32.What is the additive inverse of −1/6? (a) 1/6 (b) −6 (c) −1/6 (d) 6
  33. 33.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) −16/36 (b) −9/4 (c) −4/9 (d) 4/9
  34. 34.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) −2/5 (c) 5/2 (d) −5/2
  35. 35.Which is smaller: −2/5 or −1/5? (a) −1/5 (b) −2/5
  36. 36.Which is smaller: −5/6 or 3/4? (a) −5/6 (b) 3/4
  37. 37.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −5/45 (d) −1/9
  38. 38.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −8/5 (d) −30/48
  39. 39.What is (−1/2) + 1/3? (a) −1/6 (b) 1/6 (c) −5/6 (d) 0
  40. 40.What is the additive inverse of 7/8? (a) −8/7 (b) 7/8 (c) −7/8 (d) 8/7

Answer key

  1. −2/9
  2. −3/7
  3. 26/63
  4. Negative
  5. −1/7
  6. Negative
  7. Negative
  8. −4/9
  9. Negative
  10. −4/5
  11. −1/7
  12. −4/5
  13. −3/8
  14. −1/5
  15. 5/18
  16. −4/45
  17. Positive
  18. −4/9
  19. Negative
  20. Negative
  21. Negative
  22. Positive
  23. −4/5
  24. −4/21
  25. Negative
  26. 3/5
  27. −8/9
  28. Positive
  29. −8/9
  30. −3/7
  31. 5/9
  32. 1/6
  33. −4/9
  34. −5/2
  35. −2/5
  36. −5/6
  37. −1/9
  38. −5/8
  39. −1/6
  40. −7/8

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