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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 200 · 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.Is 1/2 positive or negative? (a) Negative (b) Positive
  2. 2.What is (−1/3) + (−1/8)? (a) −5/24 (b) −11/24 (c) −2/11 (d) 11/24
  3. 3.Is −1/2 positive or negative? (a) Negative (b) Positive
  4. 4.What is the additive inverse of 1/2? (a) −2 (b) 1/2 (c) 2 (d) −1/2
  5. 5.Which is smaller: −1/7 or −1/4? (a) −1/4 (b) −1/7
  6. 6.Which is smaller: −1/6 or 2/9? (a) 2/9 (b) −1/6
  7. 7.What is the additive inverse of −2/9? (a) −9/2 (b) 9/2 (c) −2/9 (d) 2/9
  8. 8.Which is bigger: −2/7 or 1/5? (a) 1/5 (b) −2/7
  9. 9.What is 1/6 − (−1/9)? (a) 1/18 (b) 2/15 (c) −5/18 (d) 5/18
  10. 10.Write −24/54 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −24/54 (c) −4/9 (d) −9/4
  11. 11.What is the additive inverse of 5/7? (a) 7/5 (b) 5/7 (c) −7/5 (d) −5/7
  12. 12.What is (−1/8) − 1/3? (a) −2/11 (b) −11/24 (c) 11/24 (d) 5/24
  13. 13.Which is bigger: −6/7 or −7/9? (a) −7/9 (b) −6/7
  14. 14.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −18/24 (b) −3/4 (c) 3/4 (d) −4/3
  15. 15.What is 1/9 + (−4/7)? (a) 29/63 (b) 43/63 (c) −3/16 (d) −29/63
  16. 16.What is 6/7 + (−1/5)? (a) 23/35 (b) 5/12 (c) 37/35 (d) −23/35
  17. 17.Which is bigger: −1/3 or 8/9? (a) −1/3 (b) 8/9
  18. 18.Which is smaller: −5/7 or −3/7? (a) −3/7 (b) −5/7
  19. 19.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) −1/8 (c) −8 (d) 8
  20. 20.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) −9/2 (c) −2/9 (d) 9/2
  21. 21.Which is bigger: −4/7 or 7/9? (a) 7/9 (b) −4/7
  22. 22.What is the additive inverse of −5/6? (a) 6/5 (b) 5/6 (c) −6/5 (d) −5/6
  23. 23.What is (−1/6) + (−1/7)? (a) 13/42 (b) −2/13 (c) −1/42 (d) −13/42
  24. 24.Write −35/40 in standard form (lowest terms, positive denominator). (a) −35/40 (b) −8/7 (c) −7/8 (d) 7/8
  25. 25.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −6/54 (c) −1/9 (d) 1/9
  26. 26.Is 6/6 positive or negative? (a) Negative (b) Positive
  27. 27.Is 8/3 positive or negative? (a) Positive (b) Negative
  28. 28.What is the additive inverse of 8/9? (a) −8/9 (b) −9/8 (c) 8/9 (d) 9/8
  29. 29.Is −3/(−8) positive or negative? (a) Negative (b) Positive
  30. 30.Which is smaller: −5/7 or −2/3? (a) −2/3 (b) −5/7
  31. 31.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −4/32 (c) 1/8 (d) −1/8
  32. 32.Is −9/7 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−1/8) + 1/2? (a) −3/8 (b) −5/8 (c) 0 (d) 3/8
  34. 34.What is the additive inverse of 3/7? (a) 7/3 (b) −3/7 (c) −7/3 (d) 3/7
  35. 35.What is 3/4 − (−1/6)? (a) 11/12 (b) 2/5 (c) 7/12 (d) −11/12
  36. 36.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) −2/7 (c) 2/7 (d) −7/2
  37. 37.Is −1/6 positive or negative? (a) Positive (b) Negative
  38. 38.What is (−1/5) + 8/9? (a) −31/45 (b) 1/2 (c) 31/45 (d) −49/45
  39. 39.Which is bigger: −6/7 or 4/9? (a) 4/9 (b) −6/7
  40. 40.Is 2/(−6) positive or negative? (a) Positive (b) Negative

Answer key

  1. Positive
  2. −11/24
  3. Negative
  4. −1/2
  5. −1/4
  6. −1/6
  7. 2/9
  8. 1/5
  9. 5/18
  10. −4/9
  11. −5/7
  12. −11/24
  13. −7/9
  14. −3/4
  15. −29/63
  16. 23/35
  17. 8/9
  18. −5/7
  19. 8
  20. 9/2
  21. 7/9
  22. 5/6
  23. −13/42
  24. −7/8
  25. −1/9
  26. Positive
  27. Positive
  28. −8/9
  29. Positive
  30. −5/7
  31. −1/8
  32. Negative
  33. 3/8
  34. −3/7
  35. 11/12
  36. −2/7
  37. Negative
  38. 31/45
  39. 4/9
  40. Negative

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