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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 831 · 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 −1/(−4) positive or negative? (a) Negative (b) Positive
  2. 2.What is 2/5 − (−2/3)? (a) −4/15 (b) 16/15 (c) 1/2 (d) −16/15
  3. 3.What is (−1/5) − (−1/5)? (a) −2/5 (b) 0
  4. 4.Is −3/(−4) positive or negative? (a) Negative (b) Positive
  5. 5.Write −2/10 in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −2/10 (d) −1/5
  6. 6.What is (−1/5) + 2/9? (a) 1/45 (b) −1/45 (c) 1/14 (d) −19/45
  7. 7.Is −3/2 positive or negative? (a) Positive (b) Negative
  8. 8.Which is bigger: −5/8 or −5/9? (a) −5/9 (b) −5/8
  9. 9.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −30/36 (b) −6/5 (c) −5/6 (d) 5/6
  10. 10.Write −15/20 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −15/20 (c) 3/4 (d) −4/3
  11. 11.What is the additive inverse of −4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  12. 12.Which is bigger: −4/7 or 1/6? (a) −4/7 (b) 1/6
  13. 13.What is (−3/4) − (−1/2)? (a) −1/4 (b) −1/3 (c) 1/4 (d) −5/4
  14. 14.What is the additive inverse of 5/8? (a) 5/8 (b) −8/5 (c) −5/8 (d) 8/5
  15. 15.Which is bigger: −4/5 or −2/7? (a) −2/7 (b) −4/5
  16. 16.Is 1/(−6) positive or negative? (a) Positive (b) Negative
  17. 17.Which is bigger: −2/5 or 2/9? (a) −2/5 (b) 2/9
  18. 18.What is (−6/7) + 4/9? (a) −82/63 (b) 26/63 (c) −26/63 (d) −1/8
  19. 19.What is (−3/7) + (−3/5)? (a) −1/2 (b) 6/35 (c) 36/35 (d) −36/35
  20. 20.What is (−4/7) − (−1/4)? (a) −23/28 (b) −3/11 (c) −9/28 (d) 9/28
  21. 21.What is the reciprocal (multiplicative inverse) of −1/5? (a) 5 (b) −1/5 (c) −5 (d) 1/5
  22. 22.Write −2/16 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −2/16 (d) −8/1
  23. 23.What is the reciprocal (multiplicative inverse) of −5/8? (a) −8/5 (b) −5/8 (c) 5/8 (d) 8/5
  24. 24.What is (−5/7) + (−2/5)? (a) −39/35 (b) −11/35 (c) 39/35 (d) −7/12
  25. 25.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −14/18 (b) −9/7 (c) 7/9 (d) −7/9
  26. 26.What is the additive inverse of 2/3? (a) 3/2 (b) −2/3 (c) −3/2 (d) 2/3
  27. 27.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) 3/5 (c) −3/5 (d) 5/3
  28. 28.What is the additive inverse of −5/7? (a) −7/5 (b) 7/5 (c) 5/7 (d) −5/7
  29. 29.What is (−7/9) − (−3/5)? (a) 8/45 (b) −8/45 (c) −2/7 (d) −62/45
  30. 30.What is 3/5 − (−6/7)? (a) −51/35 (b) −9/35 (c) 3/4 (d) 51/35
  31. 31.Which is smaller: −1/9 or 4/5? (a) −1/9 (b) 4/5
  32. 32.Write 42/(−48) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −7/8 (c) −42/48 (d) −8/7
  33. 33.Write −18/24 in standard form (lowest terms, positive denominator). (a) −18/24 (b) −4/3 (c) −3/4 (d) 3/4
  34. 34.What is (−5/6) − 5/9? (a) 25/18 (b) −5/18 (c) −2/3 (d) −25/18
  35. 35.What is (−3/5) − (−3/8)? (a) 0 (b) −39/40 (c) −9/40 (d) 9/40
  36. 36.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −8/1 (d) −5/40
  37. 37.What is 8/9 − (−7/9)? (a) 1/9 (b) 5/3 (c) 5/6 (d) −5/3
  38. 38.What is 4/5 − (−5/7)? (a) 3/4 (b) 53/35 (c) −53/35 (d) 3/35
  39. 39.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −5/30 (c) −6/1 (d) 1/6
  40. 40.What is the reciprocal (multiplicative inverse) of −3/7? (a) −7/3 (b) 7/3 (c) −3/7 (d) 3/7

Answer key

  1. Positive
  2. 16/15
  3. 0
  4. Positive
  5. −1/5
  6. 1/45
  7. Negative
  8. −5/9
  9. −5/6
  10. −3/4
  11. 4/5
  12. 1/6
  13. −1/4
  14. −5/8
  15. −2/7
  16. Negative
  17. 2/9
  18. −26/63
  19. −36/35
  20. −9/28
  21. −5
  22. −1/8
  23. −8/5
  24. −39/35
  25. −7/9
  26. −2/3
  27. 5/3
  28. 5/7
  29. −8/45
  30. 51/35
  31. −1/9
  32. −7/8
  33. −3/4
  34. −25/18
  35. −9/40
  36. −1/8
  37. 5/3
  38. 53/35
  39. −1/6
  40. −7/3

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