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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 13 · 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 4/7? (a) 7/4 (b) 4/7 (c) −4/7 (d) −7/4
  2. 2.What is (−4/9) − 5/6? (a) −3/5 (b) 23/18 (c) 7/18 (d) −23/18
  3. 3.Which is bigger: −3/5 or −5/9? (a) −5/9 (b) −3/5
  4. 4.What is (−5/7) + (−1/8)? (a) −33/56 (b) −2/5 (c) 47/56 (d) −47/56
  5. 5.What is 2/3 − (−2/5)? (a) −16/15 (b) 4/15 (c) 1/2 (d) 16/15
  6. 6.Which is bigger: −2/3 or 3/7? (a) −2/3 (b) 3/7
  7. 7.Which is smaller: −5/6 or −7/9? (a) −5/6 (b) −7/9
  8. 8.Which is bigger: −1/6 or 2/7? (a) 2/7 (b) −1/6
  9. 9.What is the reciprocal (multiplicative inverse) of −3/7? (a) −7/3 (b) −3/7 (c) 3/7 (d) 7/3
  10. 10.What is 2/5 − (−1/3)? (a) −11/15 (b) 1/15 (c) 11/15 (d) 3/8
  11. 11.Write −6/27 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −2/9 (d) −6/27
  12. 12.Is 6/9 positive or negative? (a) Negative (b) Positive
  13. 13.What is the additive inverse of 6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  14. 14.Is 4/5 positive or negative? (a) Positive (b) Negative
  15. 15.What is (−1/7) − (−1/2)? (a) −9/14 (b) 0 (c) −5/14 (d) 5/14
  16. 16.What is 3/7 − (−3/5)? (a) −36/35 (b) −6/35 (c) 1/2 (d) 36/35
  17. 17.What is (−2/5) − (−2/5)? (a) −4/5 (b) 0
  18. 18.Write −9/24 in standard form (lowest terms, positive denominator). (a) −3/8 (b) 3/8 (c) −8/3 (d) −9/24
  19. 19.Which is bigger: −8/9 or 3/8? (a) 3/8 (b) −8/9
  20. 20.Which is bigger: −3/8 or −1/5? (a) −3/8 (b) −1/5
  21. 21.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  22. 22.What is (−1/2) − 7/8? (a) 3/8 (b) 11/8 (c) −11/8 (d) −4/5
  23. 23.What is the additive inverse of 1/9? (a) 9 (b) −9 (c) −1/9 (d) 1/9
  24. 24.Which is bigger: −2/5 or −4/9? (a) −4/9 (b) −2/5
  25. 25.Is −3/5 positive or negative? (a) Positive (b) Negative
  26. 26.Is −6/(−6) positive or negative? (a) Negative (b) Positive
  27. 27.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −12/18 (c) −2/3 (d) −3/2
  28. 28.What is 1/2 − (−3/7)? (a) 1/14 (b) −13/14 (c) 13/14 (d) 4/9
  29. 29.What is the reciprocal (multiplicative inverse) of 7/9? (a) −7/9 (b) 7/9 (c) 9/7 (d) −9/7
  30. 30.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) −1/9 (c) 1/9 (d) 9
  31. 31.What is 2/3 + (−1/4)? (a) 5/12 (b) −5/12 (c) 1/7 (d) 11/12
  32. 32.Is −2/2 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−1/8) + 1/7? (a) 0 (b) −15/56 (c) 1/56 (d) −1/56
  34. 34.What is the additive inverse of 2/3? (a) 3/2 (b) −2/3 (c) −3/2 (d) 2/3
  35. 35.What is (−3/4) + (−3/8)? (a) −3/8 (b) 9/8 (c) −1/2 (d) −9/8
  36. 36.What is the reciprocal (multiplicative inverse) of −7/8? (a) −7/8 (b) 7/8 (c) 8/7 (d) −8/7
  37. 37.What is (−6/7) + (−4/9)? (a) −5/8 (b) −82/63 (c) 82/63 (d) −26/63
  38. 38.What is (−8/9) + 1/3? (a) 5/9 (b) −7/12 (c) −5/9 (d) −11/9
  39. 39.What is (−6/7) + 3/7? (a) −3/7 (b) −9/7 (c) −3/14 (d) 3/7
  40. 40.What is (−2/7) + 2/9? (a) 4/63 (b) −32/63 (c) 0 (d) −4/63

Answer key

  1. −4/7
  2. −23/18
  3. −5/9
  4. −47/56
  5. 16/15
  6. 3/7
  7. −5/6
  8. 2/7
  9. −7/3
  10. 11/15
  11. −2/9
  12. Positive
  13. −6/7
  14. Positive
  15. 5/14
  16. 36/35
  17. 0
  18. −3/8
  19. 3/8
  20. −1/5
  21. Negative
  22. −11/8
  23. −1/9
  24. −2/5
  25. Negative
  26. Positive
  27. −2/3
  28. 13/14
  29. 9/7
  30. 9
  31. 5/12
  32. Negative
  33. 1/56
  34. −2/3
  35. −9/8
  36. −8/7
  37. −82/63
  38. −5/9
  39. −3/7
  40. −4/63

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