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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 235 · 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.Which is smaller: −2/9 or −5/6? (a) −5/6 (b) −2/9
  2. 2.Is 8/8 positive or negative? (a) Positive (b) Negative
  3. 3.Which is bigger: −5/8 or 7/9? (a) −5/8 (b) 7/9
  4. 4.What is 7/9 − (−5/6)? (a) 29/18 (b) −1/18 (c) −29/18 (d) 4/5
  5. 5.What is the reciprocal (multiplicative inverse) of 5/8? (a) −8/5 (b) 5/8 (c) 8/5 (d) −5/8
  6. 6.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −1/2 (d) −3/6
  7. 7.Is −2/(−9) positive or negative? (a) Positive (b) Negative
  8. 8.Is 2/(−9) positive or negative? (a) Positive (b) Negative
  9. 9.Is 1/8 positive or negative? (a) Negative (b) Positive
  10. 10.Which is bigger: −2/3 or 7/9? (a) −2/3 (b) 7/9
  11. 11.What is (−1/9) − (−1/7)? (a) −2/63 (b) −16/63 (c) 2/63 (d) 0
  12. 12.What is (−3/8) + (−5/9)? (a) 13/72 (b) 67/72 (c) −67/72 (d) −8/17
  13. 13.Is 4/(−2) positive or negative? (a) Negative (b) Positive
  14. 14.Which is bigger: −5/9 or −1/6? (a) −1/6 (b) −5/9
  15. 15.Is −6/6 positive or negative? (a) Positive (b) Negative
  16. 16.Write −6/18 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −6/18 (d) −1/3
  17. 17.Which is bigger: −4/7 or −5/8? (a) −5/8 (b) −4/7
  18. 18.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) −3/5 (c) −5/3 (d) 3/5
  19. 19.Which is smaller: −3/4 or 3/5? (a) 3/5 (b) −3/4
  20. 20.What is 4/5 + (−5/8)? (a) 57/40 (b) 7/40 (c) −1/13 (d) −7/40
  21. 21.Which is bigger: −1/3 or −1/6? (a) −1/6 (b) −1/3
  22. 22.Is −1/(−6) positive or negative? (a) Positive (b) Negative
  23. 23.What is the additive inverse of −7/8? (a) 8/7 (b) −8/7 (c) −7/8 (d) 7/8
  24. 24.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −2/6 (c) −1/3 (d) −3/1
  25. 25.Which is smaller: −1/6 or 6/7? (a) −1/6 (b) 6/7
  26. 26.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  27. 27.Is 7/7 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−3/8) + 3/7? (a) 3/56 (b) 0 (c) −3/56 (d) −45/56
  29. 29.What is (−1/4) + 7/8? (a) 5/8 (b) −9/8 (c) −5/8 (d) 1/2
  30. 30.What is (−1/2) + 6/7? (a) 5/14 (b) 5/9 (c) −19/14 (d) −5/14
  31. 31.What is 3/5 + (−1/4)? (a) 17/20 (b) 2/9 (c) −7/20 (d) 7/20
  32. 32.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  33. 33.What is (−3/4) − (−1/5)? (a) −2/9 (b) −19/20 (c) 11/20 (d) −11/20
  34. 34.Which is bigger: −3/8 or −1/3? (a) −3/8 (b) −1/3
  35. 35.Which is bigger: −4/7 or −2/7? (a) −4/7 (b) −2/7
  36. 36.What is the additive inverse of −1/3? (a) −3 (b) 3 (c) 1/3 (d) −1/3
  37. 37.Is −1/(−8) positive or negative? (a) Positive (b) Negative
  38. 38.Is 7/(−4) positive or negative? (a) Positive (b) Negative
  39. 39.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) 9/4 (c) −9/4 (d) −4/9
  40. 40.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −8/1 (d) −2/16

Answer key

  1. −5/6
  2. Positive
  3. 7/9
  4. 29/18
  5. 8/5
  6. −1/2
  7. Positive
  8. Negative
  9. Positive
  10. 7/9
  11. 2/63
  12. −67/72
  13. Negative
  14. −1/6
  15. Negative
  16. −1/3
  17. −4/7
  18. 5/3
  19. −3/4
  20. 7/40
  21. −1/6
  22. Positive
  23. 7/8
  24. −1/3
  25. −1/6
  26. Positive
  27. Positive
  28. 3/56
  29. 5/8
  30. 5/14
  31. 7/20
  32. Negative
  33. −11/20
  34. −1/3
  35. −2/7
  36. 1/3
  37. Positive
  38. Negative
  39. −9/4
  40. −1/8

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