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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 136 · 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 32/(−36) in standard form (lowest terms, positive denominator). (a) −32/36 (b) −8/9 (c) 8/9 (d) −9/8
  2. 2.What is the reciprocal (multiplicative inverse) of 4/7? (a) 7/4 (b) −4/7 (c) −7/4 (d) 4/7
  3. 3.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) −6/7 (c) −7/6 (d) 7/6
  4. 4.Is 3/(−9) positive or negative? (a) Negative (b) Positive
  5. 5.What is (−3/7) + (−3/8)? (a) −2/5 (b) −45/56 (c) 45/56 (d) −3/56
  6. 6.Which is bigger: −4/7 or −3/7? (a) −3/7 (b) −4/7
  7. 7.What is 1/8 + (−4/5)? (a) 27/40 (b) 37/40 (c) −27/40 (d) −3/13
  8. 8.Is −6/9 positive or negative? (a) Positive (b) Negative
  9. 9.Is 7/(−8) positive or negative? (a) Positive (b) Negative
  10. 10.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  11. 11.What is the additive inverse of 3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  12. 12.Which is bigger: −1/3 or −6/7? (a) −1/3 (b) −6/7
  13. 13.What is (−3/4) + (−1/5)? (a) 19/20 (b) −4/9 (c) −11/20 (d) −19/20
  14. 14.Which is bigger: −3/7 or 1/4? (a) −3/7 (b) 1/4
  15. 15.Which is bigger: −1/3 or 6/7? (a) 6/7 (b) −1/3
  16. 16.What is the additive inverse of 6/7? (a) 7/6 (b) −6/7 (c) 6/7 (d) −7/6
  17. 17.What is (−1/3) − 1/6? (a) −2/9 (b) 1/2 (c) −1/2 (d) −1/6
  18. 18.Which is smaller: −1/3 or 5/8? (a) −1/3 (b) 5/8
  19. 19.What is (−1/4) − (−3/7)? (a) −19/28 (b) 2/11 (c) −5/28 (d) 5/28
  20. 20.Is 2/(−9) positive or negative? (a) Positive (b) Negative
  21. 21.What is (−2/9) − (−1/2)? (a) −5/18 (b) 5/18 (c) −13/18 (d) −1/11
  22. 22.Write −3/24 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) 1/8 (d) −3/24
  23. 23.What is (−8/9) + 2/3? (a) −14/9 (b) −1/2 (c) −2/9 (d) 2/9
  24. 24.What is (−3/5) − 2/5? (a) 1 (b) −1 (c) −1/5 (d) −1/2
  25. 25.Write −15/40 in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) 3/8 (d) −15/40
  26. 26.Is −1/9 positive or negative? (a) Negative (b) Positive
  27. 27.What is (−3/4) − 5/9? (a) −8/13 (b) −7/36 (c) −47/36 (d) 47/36
  28. 28.What is 3/7 + (−4/9)? (a) −1/16 (b) 1/63 (c) −1/63 (d) 55/63
  29. 29.Is −1/(−8) positive or negative? (a) Negative (b) Positive
  30. 30.Is 9/3 positive or negative? (a) Positive (b) Negative
  31. 31.What is the reciprocal (multiplicative inverse) of −8/9? (a) −9/8 (b) −8/9 (c) 9/8 (d) 8/9
  32. 32.Write −32/36 in standard form (lowest terms, positive denominator). (a) −9/8 (b) 8/9 (c) −8/9 (d) −32/36
  33. 33.What is (−3/5) + 1/6? (a) 13/30 (b) −23/30 (c) −13/30 (d) −2/11
  34. 34.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) −3/5 (c) 3/5 (d) 5/3
  35. 35.What is (−1/2) − 3/7? (a) −13/14 (b) −1/14 (c) 13/14 (d) −4/9
  36. 36.What is (−4/7) + 2/5? (a) 6/35 (b) −34/35 (c) −6/35 (d) −1/6
  37. 37.What is 5/6 + (−1/8)? (a) 17/24 (b) 23/24 (c) 2/7 (d) −17/24
  38. 38.Which is smaller: −6/7 or 5/6? (a) 5/6 (b) −6/7
  39. 39.What is 2/5 + (−1/7)? (a) −9/35 (b) 9/35 (c) 1/12 (d) 19/35
  40. 40.What is (−1/4) + (−2/9)? (a) 17/36 (b) −17/36 (c) −1/36 (d) −3/13

Answer key

  1. −8/9
  2. 7/4
  3. 7/6
  4. Negative
  5. −45/56
  6. −3/7
  7. −27/40
  8. Negative
  9. Negative
  10. 7/2
  11. −3/8
  12. −1/3
  13. −19/20
  14. 1/4
  15. 6/7
  16. −6/7
  17. −1/2
  18. −1/3
  19. 5/28
  20. Negative
  21. 5/18
  22. −1/8
  23. −2/9
  24. −1
  25. −3/8
  26. Negative
  27. −47/36
  28. −1/63
  29. Positive
  30. Positive
  31. −9/8
  32. −8/9
  33. −13/30
  34. 5/3
  35. −13/14
  36. −6/35
  37. 17/24
  38. −6/7
  39. 9/35
  40. −17/36

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