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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 710 · 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 7/(−4) positive or negative? (a) Negative (b) Positive
  2. 2.Which is bigger: −1/7 or −8/9? (a) −8/9 (b) −1/7
  3. 3.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −8/20 (d) −5/2
  4. 4.What is (−1/8) − 1/6? (a) −7/24 (b) −1/7 (c) 7/24 (d) 1/24
  5. 5.What is (−3/7) + 4/5? (a) −13/35 (b) 1/12 (c) −43/35 (d) 13/35
  6. 6.What is (−1/2) + (−5/6)? (a) −3/4 (b) −4/3 (c) 4/3 (d) 1/3
  7. 7.What is (−1/4) − 1/4? (a) −1/2 (b) −1/4 (c) 0 (d) 1/2
  8. 8.What is the additive inverse of −4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  9. 9.Which is smaller: −3/5 or 7/8? (a) −3/5 (b) 7/8
  10. 10.What is 1/6 − (−2/7)? (a) −19/42 (b) −5/42 (c) 3/13 (d) 19/42
  11. 11.What is the additive inverse of −1/8? (a) 8 (b) −8 (c) −1/8 (d) 1/8
  12. 12.Which is smaller: −4/9 or −5/9? (a) −4/9 (b) −5/9
  13. 13.Is 9/(−6) positive or negative? (a) Positive (b) Negative
  14. 14.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −1/9 (c) −9/1 (d) −2/18
  15. 15.Write −9/24 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −9/24 (c) 3/8 (d) −3/8
  16. 16.What is the additive inverse of 1/2? (a) 2 (b) 1/2 (c) −1/2 (d) −2
  17. 17.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −1/3 (b) −4/12 (c) −3/1 (d) 1/3
  18. 18.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) −7/6 (c) 7/6 (d) 6/7
  19. 19.Write −3/15 in standard form (lowest terms, positive denominator). (a) −3/15 (b) −5/1 (c) −1/5 (d) 1/5
  20. 20.Which is bigger: −5/8 or 3/5? (a) −5/8 (b) 3/5
  21. 21.Is 8/(−7) positive or negative? (a) Positive (b) Negative
  22. 22.Is 6/(−2) positive or negative? (a) Positive (b) Negative
  23. 23.What is the additive inverse of 2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  24. 24.What is the additive inverse of 1/8? (a) −1/8 (b) −8 (c) 8 (d) 1/8
  25. 25.What is (−1/9) − 3/4? (a) −4/13 (b) 23/36 (c) −31/36 (d) 31/36
  26. 26.Is −8/(−9) positive or negative? (a) Negative (b) Positive
  27. 27.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) 6/7 (d) −24/28
  28. 28.What is (−1/3) + (−3/8)? (a) 1/24 (b) −17/24 (c) 17/24 (d) −4/11
  29. 29.What is the additive inverse of −5/8? (a) 8/5 (b) −5/8 (c) 5/8 (d) −8/5
  30. 30.Which is smaller: −4/5 or 7/9? (a) −4/5 (b) 7/9
  31. 31.Is 8/9 positive or negative? (a) Positive (b) Negative
  32. 32.What is (−2/5) + 5/6? (a) 13/30 (b) −37/30 (c) 3/11 (d) −13/30
  33. 33.Is 9/3 positive or negative? (a) Negative (b) Positive
  34. 34.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) −6/9 (d) 2/3
  35. 35.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) −2/9 (b) −9/2 (c) −6/27 (d) 2/9
  36. 36.What is (−3/7) − (−1/7)? (a) −4/7 (b) −1/7 (c) 2/7 (d) −2/7
  37. 37.Which is bigger: −2/5 or −1/3? (a) −1/3 (b) −2/5
  38. 38.Which is smaller: −1/3 or −7/8? (a) −7/8 (b) −1/3
  39. 39.Write −6/54 in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −6/54 (d) −9/1
  40. 40.Is −6/(−3) positive or negative? (a) Positive (b) Negative

Answer key

  1. Negative
  2. −1/7
  3. −2/5
  4. −7/24
  5. 13/35
  6. −4/3
  7. −1/2
  8. 4/5
  9. −3/5
  10. 19/42
  11. 1/8
  12. −5/9
  13. Negative
  14. −1/9
  15. −3/8
  16. −1/2
  17. −1/3
  18. −7/6
  19. −1/5
  20. 3/5
  21. Negative
  22. Negative
  23. −2/7
  24. −1/8
  25. −31/36
  26. Positive
  27. −6/7
  28. −17/24
  29. 5/8
  30. −4/5
  31. Positive
  32. 13/30
  33. Positive
  34. −2/3
  35. −2/9
  36. −2/7
  37. −1/3
  38. −7/8
  39. −1/9
  40. Positive

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