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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 539 · 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 −9/(−4) positive or negative? (a) Positive (b) Negative
  2. 2.What is the reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) 6/7 (c) 7/6 (d) −6/7
  3. 3.Which is smaller: −3/8 or 4/7? (a) −3/8 (b) 4/7
  4. 4.What is 1/3 + (−5/7)? (a) 8/21 (b) −8/21 (c) −2/5 (d) 22/21
  5. 5.Is −9/(−2) positive or negative? (a) Negative (b) Positive
  6. 6.What is (−2/7) − 2/9? (a) −32/63 (b) −1/4 (c) −4/63 (d) 32/63
  7. 7.Which is bigger: −4/5 or −8/9? (a) −8/9 (b) −4/5
  8. 8.What is (−3/7) + 2/3? (a) −1/10 (b) −23/21 (c) 5/21 (d) −5/21
  9. 9.Write −6/10 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −6/10 (c) −3/5 (d) −5/3
  10. 10.Which is smaller: −1/7 or −1/4? (a) −1/4 (b) −1/7
  11. 11.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −6/54 (d) 1/9
  12. 12.Is −3/5 positive or negative? (a) Positive (b) Negative
  13. 13.Which is bigger: −1/3 or 2/9? (a) −1/3 (b) 2/9
  14. 14.What is the additive inverse of −4/5? (a) 4/5 (b) 5/4 (c) −4/5 (d) −5/4
  15. 15.What is 5/6 + (−1/8)? (a) 17/24 (b) −17/24 (c) 23/24 (d) 2/7
  16. 16.Which is bigger: −3/7 or −8/9? (a) −3/7 (b) −8/9
  17. 17.What is 1/4 + (−2/9)? (a) 17/36 (b) 1/36 (c) −1/36 (d) −1/13
  18. 18.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) 9 (c) −1/9 (d) 1/9
  19. 19.Write −15/18 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −15/18 (c) −6/5 (d) −5/6
  20. 20.Which is bigger: −4/5 or 1/3? (a) 1/3 (b) −4/5
  21. 21.Is 7/9 positive or negative? (a) Positive (b) Negative
  22. 22.Write −6/54 in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −9/1 (d) −6/54
  23. 23.What is the additive inverse of 3/5? (a) 5/3 (b) −5/3 (c) 3/5 (d) −3/5
  24. 24.Write −16/18 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −16/18 (c) −9/8 (d) −8/9
  25. 25.What is 5/6 + (−1/9)? (a) −13/18 (b) 4/15 (c) 17/18 (d) 13/18
  26. 26.Which is smaller: −5/6 or −1/6? (a) −1/6 (b) −5/6
  27. 27.What is the reciprocal (multiplicative inverse) of −2/7? (a) 7/2 (b) −2/7 (c) −7/2 (d) 2/7
  28. 28.Which is smaller: −7/8 or −1/2? (a) −7/8 (b) −1/2
  29. 29.What is the additive inverse of −4/9? (a) −9/4 (b) 4/9 (c) 9/4 (d) −4/9
  30. 30.Write −15/25 in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −3/5 (d) −15/25
  31. 31.What is the additive inverse of −2/7? (a) −2/7 (b) 7/2 (c) −7/2 (d) 2/7
  32. 32.Write −18/30 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) −18/30 (d) 3/5
  33. 33.Which is smaller: −7/9 or 2/3? (a) −7/9 (b) 2/3
  34. 34.Which is smaller: −1/2 or 1/6? (a) −1/2 (b) 1/6
  35. 35.Is 7/5 positive or negative? (a) Negative (b) Positive
  36. 36.What is 1/9 − (−1/7)? (a) 1/8 (b) −2/63 (c) −16/63 (d) 16/63
  37. 37.What is (−1/8) + (−8/9)? (a) 73/72 (b) 55/72 (c) −9/17 (d) −73/72
  38. 38.What is (−2/5) − (−2/3)? (a) 4/15 (b) 0 (c) −4/15 (d) −16/15
  39. 39.Write −24/42 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −24/42 (c) 4/7 (d) −4/7
  40. 40.What is 1/3 − (−1/9)? (a) 2/9 (b) 1/6 (c) 4/9 (d) −4/9

Answer key

  1. Positive
  2. 7/6
  3. −3/8
  4. −8/21
  5. Positive
  6. −32/63
  7. −4/5
  8. 5/21
  9. −3/5
  10. −1/4
  11. −1/9
  12. Negative
  13. 2/9
  14. 4/5
  15. 17/24
  16. −3/7
  17. 1/36
  18. 9
  19. −5/6
  20. 1/3
  21. Positive
  22. −1/9
  23. −3/5
  24. −8/9
  25. 13/18
  26. −5/6
  27. −7/2
  28. −7/8
  29. 4/9
  30. −3/5
  31. 2/7
  32. −3/5
  33. −7/9
  34. −1/2
  35. Positive
  36. 16/63
  37. −73/72
  38. 4/15
  39. −4/7
  40. 4/9

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