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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 777 · 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 −3/5? (a) −5/3 (b) −3/5 (c) 5/3 (d) 3/5
  2. 2.Write −5/20 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) 1/4 (d) −5/20
  3. 3.Is 6/(−4) positive or negative? (a) Positive (b) Negative
  4. 4.What is (−1/2) − (−5/6)? (a) −4/3 (b) −1/3 (c) 1/2 (d) 1/3
  5. 5.Write −9/21 in standard form (lowest terms, positive denominator). (a) −9/21 (b) −3/7 (c) −7/3 (d) 3/7
  6. 6.Is −9/(−2) positive or negative? (a) Positive (b) Negative
  7. 7.What is (−2/5) − (−4/5)? (a) 1/5 (b) 2/5 (c) −6/5 (d) −2/5
  8. 8.Which is smaller: −1/4 or −1/5? (a) −1/5 (b) −1/4
  9. 9.Is 4/8 positive or negative? (a) Positive (b) Negative
  10. 10.What is 5/8 − (−1/2)? (a) 3/5 (b) 1/8 (c) 9/8 (d) −9/8
  11. 11.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) −6/7 (c) −7/6 (d) 6/7
  12. 12.Is 7/8 positive or negative? (a) Positive (b) Negative
  13. 13.Is 5/6 positive or negative? (a) Positive (b) Negative
  14. 14.Which is bigger: −4/7 or 5/9? (a) −4/7 (b) 5/9
  15. 15.Is 5/4 positive or negative? (a) Negative (b) Positive
  16. 16.Is 2/4 positive or negative? (a) Positive (b) Negative
  17. 17.What is the additive inverse of 5/6? (a) −6/5 (b) −5/6 (c) 6/5 (d) 5/6
  18. 18.What is 4/7 − (−2/7)? (a) 3/7 (b) 2/7 (c) 6/7 (d) −6/7
  19. 19.What is (−1/5) + (−2/3)? (a) 7/15 (b) −13/15 (c) 13/15 (d) −3/8
  20. 20.What is (−1/8) − (−1/3)? (a) −11/24 (b) 0 (c) 5/24 (d) −5/24
  21. 21.What is (−1/3) + (−1/9)? (a) 4/9 (b) −1/6 (c) −2/9 (d) −4/9
  22. 22.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) −8/9 (c) 9/8 (d) 8/9
  23. 23.Is 8/2 positive or negative? (a) Positive (b) Negative
  24. 24.What is 1/9 + (−1/3)? (a) 0 (b) 4/9 (c) 2/9 (d) −2/9
  25. 25.Which is smaller: −1/4 or 3/5? (a) 3/5 (b) −1/4
  26. 26.Which is smaller: −1/4 or −1/9? (a) −1/9 (b) −1/4
  27. 27.Write 12/(−20) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) −12/20 (d) 3/5
  28. 28.Which is smaller: −5/6 or 1/5? (a) 1/5 (b) −5/6
  29. 29.What is the additive inverse of 2/7? (a) −7/2 (b) 7/2 (c) −2/7 (d) 2/7
  30. 30.What is 6/7 + (−1/5)? (a) 37/35 (b) 5/12 (c) 23/35 (d) −23/35
  31. 31.Which is smaller: −1/5 or 3/5? (a) −1/5 (b) 3/5
  32. 32.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) −2 (c) 1/2 (d) 2
  33. 33.What is 3/8 − (−1/9)? (a) −35/72 (b) 19/72 (c) 4/17 (d) 35/72
  34. 34.Write −35/45 in standard form (lowest terms, positive denominator). (a) −7/9 (b) 7/9 (c) −35/45 (d) −9/7
  35. 35.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −12/27 (b) −4/9 (c) 4/9 (d) −9/4
  36. 36.What is the additive inverse of 1/3? (a) −1/3 (b) 3 (c) −3 (d) 1/3
  37. 37.What is 1/2 − (−1/2)? (a) −1 (b) 0 (c) 1/2 (d) 1
  38. 38.Is 6/(−8) positive or negative? (a) Positive (b) Negative
  39. 39.Write −16/28 in standard form (lowest terms, positive denominator). (a) −16/28 (b) 4/7 (c) −7/4 (d) −4/7
  40. 40.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −3/12 (b) −4/1 (c) 1/4 (d) −1/4

Answer key

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

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