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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 325 · 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 1/8? (a) 8 (b) −8 (c) 1/8 (d) −1/8
  2. 2.Is −2/2 positive or negative? (a) Positive (b) Negative
  3. 3.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) −5 (c) 1/5 (d) 5
  4. 4.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) −7/8 (c) −8/7 (d) 8/7
  5. 5.What is 6/7 − (−1/4)? (a) 17/28 (b) −31/28 (c) 7/11 (d) 31/28
  6. 6.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) 1/9 (c) −9 (d) 9
  7. 7.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) −1/4 (c) 4 (d) −4
  8. 8.Which is bigger: −3/5 or 5/7? (a) 5/7 (b) −3/5
  9. 9.Which is bigger: −3/4 or −1/7? (a) −3/4 (b) −1/7
  10. 10.Write −4/8 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) −4/8 (d) 1/2
  11. 11.What is the reciprocal (multiplicative inverse) of −5/8? (a) −5/8 (b) 5/8 (c) −8/5 (d) 8/5
  12. 12.What is (−8/9) + 3/5? (a) −5/14 (b) 13/45 (c) −67/45 (d) −13/45
  13. 13.Which is smaller: −7/9 or 1/9? (a) 1/9 (b) −7/9
  14. 14.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −1/4 (d) −6/24
  15. 15.Is 3/(−4) positive or negative? (a) Negative (b) Positive
  16. 16.Is −2/8 positive or negative? (a) Negative (b) Positive
  17. 17.What is (−1/3) − (−2/5)? (a) 1/8 (b) 1/15 (c) −1/15 (d) −11/15
  18. 18.Is 3/(−6) positive or negative? (a) Positive (b) Negative
  19. 19.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) −1/6 (c) 6 (d) −6
  20. 20.Is 6/7 positive or negative? (a) Positive (b) Negative
  21. 21.Is 8/8 positive or negative? (a) Positive (b) Negative
  22. 22.Which is smaller: −1/5 or 4/7? (a) −1/5 (b) 4/7
  23. 23.What is (−4/5) − 5/8? (a) −57/40 (b) −7/40 (c) 57/40 (d) −9/13
  24. 24.Is −5/(−3) positive or negative? (a) Positive (b) Negative
  25. 25.Is −1/(−6) positive or negative? (a) Negative (b) Positive
  26. 26.Which is bigger: −4/5 or −6/7? (a) −4/5 (b) −6/7
  27. 27.What is the reciprocal (multiplicative inverse) of 1/7? (a) 7 (b) 1/7 (c) −7 (d) −1/7
  28. 28.What is the additive inverse of −1/8? (a) 1/8 (b) −8 (c) 8 (d) −1/8
  29. 29.Which is smaller: −5/9 or −2/3? (a) −5/9 (b) −2/3
  30. 30.What is the additive inverse of 2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  31. 31.What is the reciprocal (multiplicative inverse) of −1/8? (a) −8 (b) 1/8 (c) −1/8 (d) 8
  32. 32.What is (−1/8) + 5/7? (a) 33/56 (b) 4/15 (c) −47/56 (d) −33/56
  33. 33.What is (−4/7) + 1/9? (a) −43/63 (b) −3/16 (c) 29/63 (d) −29/63
  34. 34.What is (−8/9) + 5/9? (a) −1/3 (b) −1/6 (c) 1/3 (d) −13/9
  35. 35.Is 2/3 positive or negative? (a) Negative (b) Positive
  36. 36.What is the additive inverse of 1/5? (a) −1/5 (b) −5 (c) 1/5 (d) 5
  37. 37.What is 1/5 − (−1/2)? (a) −3/10 (b) −7/10 (c) 7/10 (d) 2/7
  38. 38.Which is smaller: −3/7 or −8/9? (a) −8/9 (b) −3/7
  39. 39.What is the reciprocal (multiplicative inverse) of −1/9? (a) 1/9 (b) 9 (c) −1/9 (d) −9
  40. 40.Write −2/6 in standard form (lowest terms, positive denominator). (a) −2/6 (b) −3/1 (c) −1/3 (d) 1/3

Answer key

  1. −1/8
  2. Negative
  3. 5
  4. 8/7
  5. 31/28
  6. 9
  7. 4
  8. 5/7
  9. −1/7
  10. −1/2
  11. −8/5
  12. −13/45
  13. −7/9
  14. −1/4
  15. Negative
  16. Negative
  17. 1/15
  18. Negative
  19. −6
  20. Positive
  21. Positive
  22. −1/5
  23. −57/40
  24. Positive
  25. Positive
  26. −4/5
  27. 7
  28. 1/8
  29. −2/3
  30. −2/5
  31. −8
  32. 33/56
  33. −29/63
  34. −1/3
  35. Positive
  36. −1/5
  37. 7/10
  38. −8/9
  39. −9
  40. −1/3

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