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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 940 · 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 the additive inverse of 1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  2. 2.What is (−7/8) − 1/5? (a) −8/13 (b) −43/40 (c) −27/40 (d) 43/40
  3. 3.Which is smaller: −1/7 or −2/3? (a) −1/7 (b) −2/3
  4. 4.Which is bigger: −3/7 or 4/5? (a) −3/7 (b) 4/5
  5. 5.What is (−1/9) + 3/4? (a) 23/36 (b) −23/36 (c) −31/36 (d) 2/13
  6. 6.What is 7/9 − (−4/9)? (a) 1/3 (b) −11/9 (c) 11/18 (d) 11/9
  7. 7.What is (−1/5) − 2/9? (a) −19/45 (b) 1/45 (c) 19/45 (d) −3/14
  8. 8.Which is smaller: −6/7 or 1/2? (a) 1/2 (b) −6/7
  9. 9.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −10/18 (c) −5/9 (d) 5/9
  10. 10.Write −10/14 in standard form (lowest terms, positive denominator). (a) −10/14 (b) 5/7 (c) −5/7 (d) −7/5
  11. 11.Which is bigger: −1/4 or −3/7? (a) −3/7 (b) −1/4
  12. 12.Write −15/27 in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −15/27 (d) −5/9
  13. 13.Is 8/4 positive or negative? (a) Positive (b) Negative
  14. 14.Which is smaller: −2/5 or −1/5? (a) −1/5 (b) −2/5
  15. 15.What is 5/7 + (−4/7)? (a) 1/7 (b) 1/14 (c) 9/7 (d) −1/7
  16. 16.What is 5/6 + (−1/5)? (a) −19/30 (b) 4/11 (c) 31/30 (d) 19/30
  17. 17.What is 1/5 + (−1/2)? (a) 3/10 (b) 7/10 (c) 0 (d) −3/10
  18. 18.What is the additive inverse of 3/7? (a) 3/7 (b) −3/7 (c) −7/3 (d) 7/3
  19. 19.What is (−5/9) + 3/7? (a) −62/63 (b) 8/63 (c) −1/8 (d) −8/63
  20. 20.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) 5/2 (c) 2/5 (d) −2/5
  21. 21.Is 2/4 positive or negative? (a) Positive (b) Negative
  22. 22.What is 1/3 + (−5/6)? (a) −1/2 (b) 1/2 (c) −4/9 (d) 7/6
  23. 23.Write −5/15 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −5/15 (c) −3/1 (d) 1/3
  24. 24.What is (−1/3) + 5/8? (a) −7/24 (b) −23/24 (c) 7/24 (d) 4/11
  25. 25.Which is smaller: −8/9 or 2/3? (a) −8/9 (b) 2/3
  26. 26.What is the reciprocal (multiplicative inverse) of −1/5? (a) −1/5 (b) −5 (c) 5 (d) 1/5
  27. 27.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3
  28. 28.Is 7/(−5) positive or negative? (a) Positive (b) Negative
  29. 29.Write −5/40 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −1/8 (d) −5/40
  30. 30.Write −3/27 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) 1/9 (d) −3/27
  31. 31.What is the additive inverse of −4/9? (a) −4/9 (b) −9/4 (c) 4/9 (d) 9/4
  32. 32.What is 6/7 + (−1/5)? (a) 23/35 (b) −23/35 (c) 37/35 (d) 5/12
  33. 33.What is 4/7 + (−3/8)? (a) 11/56 (b) 53/56 (c) 1/15 (d) −11/56
  34. 34.What is (−6/7) + (−1/2)? (a) −5/14 (b) −19/14 (c) −7/9 (d) 19/14
  35. 35.Is 9/4 positive or negative? (a) Positive (b) Negative
  36. 36.Which is bigger: −3/5 or 2/5? (a) 2/5 (b) −3/5
  37. 37.Is 4/3 positive or negative? (a) Negative (b) Positive
  38. 38.What is the additive inverse of 1/8? (a) 8 (b) −8 (c) −1/8 (d) 1/8
  39. 39.Which is smaller: −7/9 or 4/7? (a) 4/7 (b) −7/9
  40. 40.Write −12/32 in standard form (lowest terms, positive denominator). (a) −12/32 (b) −3/8 (c) 3/8 (d) −8/3

Answer key

  1. −1/4
  2. −43/40
  3. −2/3
  4. 4/5
  5. 23/36
  6. 11/9
  7. −19/45
  8. −6/7
  9. −5/9
  10. −5/7
  11. −1/4
  12. −5/9
  13. Positive
  14. −2/5
  15. 1/7
  16. 19/30
  17. −3/10
  18. −3/7
  19. −8/63
  20. 5/2
  21. Positive
  22. −1/2
  23. −1/3
  24. 7/24
  25. −8/9
  26. −5
  27. 8/3
  28. Negative
  29. −1/8
  30. −1/9
  31. 4/9
  32. 23/35
  33. 11/56
  34. −19/14
  35. Positive
  36. 2/5
  37. Positive
  38. −1/8
  39. −7/9
  40. −3/8

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