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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 155 · 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 reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  2. 2.What is the additive inverse of −5/6? (a) 6/5 (b) −6/5 (c) 5/6 (d) −5/6
  3. 3.What is the additive inverse of 1/6? (a) 6 (b) −6 (c) 1/6 (d) −1/6
  4. 4.What is the reciprocal (multiplicative inverse) of −5/6? (a) 6/5 (b) −5/6 (c) −6/5 (d) 5/6
  5. 5.Is 3/(−7) positive or negative? (a) Positive (b) Negative
  6. 6.Which is bigger: −7/8 or −2/3? (a) −7/8 (b) −2/3
  7. 7.Which is bigger: −1/3 or −5/6? (a) −5/6 (b) −1/3
  8. 8.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) 1/8 (d) −3/24
  9. 9.What is 1/3 + (−1/7)? (a) 0 (b) −4/21 (c) 10/21 (d) 4/21
  10. 10.Which is bigger: −7/8 or −8/9? (a) −8/9 (b) −7/8
  11. 11.Write −16/36 in standard form (lowest terms, positive denominator). (a) −4/9 (b) −9/4 (c) 4/9 (d) −16/36
  12. 12.What is 1/5 + (−5/9)? (a) −16/45 (b) 16/45 (c) −2/7 (d) 34/45
  13. 13.What is (−8/9) + (−5/9)? (a) −1/3 (b) −13/18 (c) 13/9 (d) −13/9
  14. 14.What is (−7/9) + (−7/8)? (a) −119/72 (b) 119/72 (c) −14/17 (d) 7/72
  15. 15.What is (−1/3) + 3/7? (a) 1/5 (b) −2/21 (c) 2/21 (d) −16/21
  16. 16.What is the additive inverse of 5/8? (a) −8/5 (b) −5/8 (c) 5/8 (d) 8/5
  17. 17.Is 1/9 positive or negative? (a) Negative (b) Positive
  18. 18.What is (−1/3) + 1/6? (a) −1/6 (b) −1/2 (c) 0 (d) 1/6
  19. 19.What is (−3/5) − 1/4? (a) −17/20 (b) −4/9 (c) −7/20 (d) 17/20
  20. 20.What is 1/2 − (−1/8)? (a) −5/8 (b) 3/8 (c) 1/5 (d) 5/8
  21. 21.What is (−1/4) + 4/5? (a) −21/20 (b) −11/20 (c) 11/20 (d) 1/3
  22. 22.What is (−5/8) + 2/9? (a) −3/17 (b) 29/72 (c) −29/72 (d) −61/72
  23. 23.What is the additive inverse of −4/9? (a) 4/9 (b) −4/9 (c) −9/4 (d) 9/4
  24. 24.Write 15/(−20) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −15/20 (c) −3/4 (d) 3/4
  25. 25.Is 3/2 positive or negative? (a) Negative (b) Positive
  26. 26.Is −1/(−3) positive or negative? (a) Negative (b) Positive
  27. 27.Write −35/40 in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −7/8 (d) −35/40
  28. 28.What is (−5/9) + 8/9? (a) −13/9 (b) 1/6 (c) −1/3 (d) 1/3
  29. 29.What is (−2/9) − (−7/9)? (a) 5/18 (b) −1 (c) 5/9 (d) −5/9
  30. 30.Which is smaller: −1/5 or −1/3? (a) −1/5 (b) −1/3
  31. 31.Is 1/(−8) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−1/8) + (−4/9)? (a) 23/72 (b) 41/72 (c) −41/72 (d) −5/17
  33. 33.Is −1/(−7) positive or negative? (a) Negative (b) Positive
  34. 34.Which is bigger: −5/8 or −5/9? (a) −5/9 (b) −5/8
  35. 35.Is −4/3 positive or negative? (a) Negative (b) Positive
  36. 36.Write −5/15 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −5/15 (d) −1/3
  37. 37.What is (−3/4) + (−2/5)? (a) −23/20 (b) −7/20 (c) −5/9 (d) 23/20
  38. 38.What is the reciprocal (multiplicative inverse) of −1/7? (a) −7 (b) 7 (c) 1/7 (d) −1/7
  39. 39.Which is bigger: −4/9 or −1/5? (a) −1/5 (b) −4/9
  40. 40.Is 3/9 positive or negative? (a) Positive (b) Negative

Answer key

  1. 4
  2. 5/6
  3. −1/6
  4. −6/5
  5. Negative
  6. −2/3
  7. −1/3
  8. −1/8
  9. 4/21
  10. −7/8
  11. −4/9
  12. −16/45
  13. −13/9
  14. −119/72
  15. 2/21
  16. −5/8
  17. Positive
  18. −1/6
  19. −17/20
  20. 5/8
  21. 11/20
  22. −29/72
  23. 4/9
  24. −3/4
  25. Positive
  26. Positive
  27. −7/8
  28. 1/3
  29. 5/9
  30. −1/3
  31. Negative
  32. −41/72
  33. Positive
  34. −5/9
  35. Negative
  36. −1/3
  37. −23/20
  38. −7
  39. −1/5
  40. Positive

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