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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 498 · 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 4/(−28) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −4/28 (d) −1/7
  2. 2.What is (−4/5) + 1/8? (a) 27/40 (b) −27/40 (c) −3/13 (d) −37/40
  3. 3.Which is bigger: −2/9 or 4/9? (a) −2/9 (b) 4/9
  4. 4.Is −7/9 positive or negative? (a) Negative (b) Positive
  5. 5.Is −6/4 positive or negative? (a) Negative (b) Positive
  6. 6.Is −5/(−9) positive or negative? (a) Negative (b) Positive
  7. 7.Write 15/(−40) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) −15/40 (d) 3/8
  8. 8.What is 1/7 + (−6/7)? (a) 5/7 (b) −5/14 (c) −5/7 (d) 1
  9. 9.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −1/3 (b) −2/6 (c) −3/1 (d) 1/3
  10. 10.What is 1/4 − (−3/7)? (a) −19/28 (b) −5/28 (c) 19/28 (d) 4/11
  11. 11.What is (−2/5) − (−1/6)? (a) 7/30 (b) −17/30 (c) −1/11 (d) −7/30
  12. 12.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −4/6 (c) 2/3 (d) −3/2
  13. 13.What is the reciprocal (multiplicative inverse) of −1/6? (a) −1/6 (b) 6 (c) 1/6 (d) −6
  14. 14.Which is bigger: −2/5 or −1/3? (a) −1/3 (b) −2/5
  15. 15.Which is smaller: −7/8 or −3/5? (a) −7/8 (b) −3/5
  16. 16.What is the additive inverse of −3/5? (a) −3/5 (b) 3/5 (c) −5/3 (d) 5/3
  17. 17.What is (−2/5) + 8/9? (a) −22/45 (b) 3/7 (c) −58/45 (d) 22/45
  18. 18.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −3/8 (d) −12/32
  19. 19.What is (−4/9) + 2/3? (a) −10/9 (b) −2/9 (c) 2/9 (d) −1/6
  20. 20.Is −6/(−2) positive or negative? (a) Negative (b) Positive
  21. 21.What is (−5/9) + (−1/9)? (a) −4/9 (b) 2/3 (c) −2/3 (d) −1/3
  22. 22.What is the additive inverse of −1/8? (a) 1/8 (b) 8 (c) −8 (d) −1/8
  23. 23.Write −4/24 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −4/24 (c) −6/1 (d) −1/6
  24. 24.What is (−8/9) + (−1/5)? (a) −49/45 (b) −31/45 (c) −9/14 (d) 49/45
  25. 25.What is 1/5 − (−3/8)? (a) −23/40 (b) 4/13 (c) 23/40 (d) −7/40
  26. 26.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −2/18 (d) −1/9
  27. 27.Is 8/5 positive or negative? (a) Negative (b) Positive
  28. 28.What is (−3/8) + (−1/5)? (a) −7/40 (b) −4/13 (c) −23/40 (d) 23/40
  29. 29.What is (−1/3) + 8/9? (a) 5/9 (b) −5/9 (c) −11/9 (d) 7/12
  30. 30.Write −18/42 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −18/42 (d) −3/7
  31. 31.What is (−2/9) + (−3/8)? (a) 11/72 (b) −5/17 (c) 43/72 (d) −43/72
  32. 32.Which is smaller: −4/7 or 1/7? (a) −4/7 (b) 1/7
  33. 33.Is 4/9 positive or negative? (a) Negative (b) Positive
  34. 34.What is the additive inverse of 1/9? (a) −9 (b) −1/9 (c) 1/9 (d) 9
  35. 35.Is 1/9 positive or negative? (a) Positive (b) Negative
  36. 36.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −4/16 (c) 1/4 (d) −1/4
  37. 37.Which is smaller: −1/6 or 1/8? (a) 1/8 (b) −1/6
  38. 38.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) −16/18 (d) 8/9
  39. 39.What is (−3/5) − 8/9? (a) −11/14 (b) 67/45 (c) −67/45 (d) 13/45
  40. 40.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) 3/2 (c) −3/2 (d) 2/3

Answer key

  1. −1/7
  2. −27/40
  3. 4/9
  4. Negative
  5. Negative
  6. Positive
  7. −3/8
  8. −5/7
  9. −1/3
  10. 19/28
  11. −7/30
  12. −2/3
  13. −6
  14. −1/3
  15. −7/8
  16. 3/5
  17. 22/45
  18. −3/8
  19. 2/9
  20. Positive
  21. −2/3
  22. 1/8
  23. −1/6
  24. −49/45
  25. 23/40
  26. −1/9
  27. Positive
  28. −23/40
  29. 5/9
  30. −3/7
  31. −43/72
  32. −4/7
  33. Positive
  34. −1/9
  35. Positive
  36. −1/4
  37. −1/6
  38. −8/9
  39. −67/45
  40. −3/2

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