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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 967 · 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 (−8/9) − 7/9? (a) −1/9 (b) −5/3 (c) −5/6 (d) 5/3
  2. 2.Is 3/(−7) positive or negative? (a) Negative (b) Positive
  3. 3.What is (−1/4) − 1/7? (a) 11/28 (b) −2/11 (c) −3/28 (d) −11/28
  4. 4.What is (−4/7) + 8/9? (a) −92/63 (b) 1/4 (c) −20/63 (d) 20/63
  5. 5.What is 1/2 + (−5/6)? (a) 1/3 (b) −1/3 (c) 4/3 (d) −1/2
  6. 6.Which is bigger: −2/7 or 2/3? (a) 2/3 (b) −2/7
  7. 7.What is the additive inverse of −2/9? (a) −2/9 (b) 9/2 (c) −9/2 (d) 2/9
  8. 8.Is 3/(−4) positive or negative? (a) Negative (b) Positive
  9. 9.What is (−1/4) − 1/2? (a) 3/4 (b) −3/4 (c) −1/3 (d) 1/4
  10. 10.Which is smaller: −5/9 or −2/7? (a) −5/9 (b) −2/7
  11. 11.Is 1/7 positive or negative? (a) Positive (b) Negative
  12. 12.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) 1/4 (d) −3/12
  13. 13.What is 5/8 + (−7/9)? (a) 101/72 (b) −11/72 (c) −2/17 (d) 11/72
  14. 14.Is 5/2 positive or negative? (a) Negative (b) Positive
  15. 15.What is 1/7 − (−2/9)? (a) 23/63 (b) −23/63 (c) 3/16 (d) −5/63
  16. 16.What is (−1/4) − (−1/4)? (a) 0 (b) −1/2
  17. 17.What is (−5/8) − 3/4? (a) 11/8 (b) −11/8 (c) 1/8 (d) −2/3
  18. 18.What is (−1/8) + 1/7? (a) 1/56 (b) −15/56 (c) −1/56 (d) 0
  19. 19.What is the additive inverse of 1/7? (a) −7 (b) −1/7 (c) 1/7 (d) 7
  20. 20.Which is bigger: −5/7 or −2/7? (a) −2/7 (b) −5/7
  21. 21.Is −2/(−9) positive or negative? (a) Negative (b) Positive
  22. 22.What is (−7/9) + (−1/7)? (a) −58/63 (b) −1/2 (c) 58/63 (d) −40/63
  23. 23.Which is bigger: −1/3 or −2/9? (a) −2/9 (b) −1/3
  24. 24.What is (−1/3) − 1/7? (a) −1/5 (b) −4/21 (c) −10/21 (d) 10/21
  25. 25.What is 3/8 + (−3/5)? (a) 0 (b) −9/40 (c) 9/40 (d) 39/40
  26. 26.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −12/16 (c) −3/4 (d) 3/4
  27. 27.Which is smaller: −3/7 or −2/3? (a) −2/3 (b) −3/7
  28. 28.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) 2/3 (d) −4/6
  29. 29.What is (−1/9) + (−1/5)? (a) −1/7 (b) −14/45 (c) 4/45 (d) 14/45
  30. 30.What is the additive inverse of 3/4? (a) −4/3 (b) 4/3 (c) −3/4 (d) 3/4
  31. 31.What is the additive inverse of 7/9? (a) −9/7 (b) 7/9 (c) −7/9 (d) 9/7
  32. 32.What is (−1/7) − 3/8? (a) −29/56 (b) −4/15 (c) 29/56 (d) 13/56
  33. 33.What is the reciprocal (multiplicative inverse) of 5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  34. 34.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −15/27 (d) −5/9
  35. 35.What is (−7/8) + 1/2? (a) −3/8 (b) −3/5 (c) −11/8 (d) 3/8
  36. 36.Which is smaller: −3/5 or −3/7? (a) −3/5 (b) −3/7
  37. 37.Which is smaller: −1/3 or −1/9? (a) −1/9 (b) −1/3
  38. 38.Is −5/(−2) positive or negative? (a) Negative (b) Positive
  39. 39.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) 2/5 (d) −8/20
  40. 40.Is 9/4 positive or negative? (a) Negative (b) Positive

Answer key

  1. −5/3
  2. Negative
  3. −11/28
  4. 20/63
  5. −1/3
  6. 2/3
  7. 2/9
  8. Negative
  9. −3/4
  10. −5/9
  11. Positive
  12. −1/4
  13. −11/72
  14. Positive
  15. 23/63
  16. 0
  17. −11/8
  18. 1/56
  19. −1/7
  20. −2/7
  21. Positive
  22. −58/63
  23. −2/9
  24. −10/21
  25. −9/40
  26. −3/4
  27. −2/3
  28. −2/3
  29. −14/45
  30. −3/4
  31. −7/9
  32. −29/56
  33. 7/5
  34. −5/9
  35. −3/8
  36. −3/5
  37. −1/3
  38. Positive
  39. −2/5
  40. Positive

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