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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 562 · 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 bigger: −1/6 or 7/8? (a) −1/6 (b) 7/8
  2. 2.Is −4/7 positive or negative? (a) Positive (b) Negative
  3. 3.What is (−4/5) − 3/5? (a) −7/5 (b) −1/5 (c) 7/5 (d) −7/10
  4. 4.Which is smaller: −5/8 or 5/6? (a) 5/6 (b) −5/8
  5. 5.Write −6/14 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −6/14
  6. 6.What is (−7/9) − (−2/7)? (a) −67/63 (b) −31/63 (c) −5/16 (d) 31/63
  7. 7.Which is bigger: −4/9 or −1/2? (a) −1/2 (b) −4/9
  8. 8.Which is bigger: −6/7 or −3/7? (a) −3/7 (b) −6/7
  9. 9.Is 3/(−9) positive or negative? (a) Negative (b) Positive
  10. 10.What is 3/8 + (−7/8)? (a) 1/2 (b) 5/4 (c) −1/2 (d) −1/4
  11. 11.What is the reciprocal (multiplicative inverse) of 7/8? (a) 8/7 (b) −7/8 (c) −8/7 (d) 7/8
  12. 12.What is the additive inverse of −2/9? (a) −9/2 (b) −2/9 (c) 9/2 (d) 2/9
  13. 13.Is 7/5 positive or negative? (a) Positive (b) Negative
  14. 14.Which is smaller: −3/8 or −1/8? (a) −3/8 (b) −1/8
  15. 15.What is the additive inverse of −5/8? (a) −8/5 (b) −5/8 (c) 8/5 (d) 5/8
  16. 16.What is (−7/8) − 6/7? (a) −13/15 (b) −1/56 (c) 97/56 (d) −97/56
  17. 17.Which is smaller: −2/9 or −2/7? (a) −2/9 (b) −2/7
  18. 18.Which is smaller: −1/8 or −1/5? (a) −1/5 (b) −1/8
  19. 19.Write −2/16 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −2/16 (c) −8/1 (d) −1/8
  20. 20.Is −1/7 positive or negative? (a) Negative (b) Positive
  21. 21.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) −6/36 (b) −1/6 (c) −6/1 (d) 1/6
  22. 22.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) −4/12 (d) 1/3
  23. 23.What is (−2/9) − (−5/9)? (a) −7/9 (b) 1/6 (c) 1/3 (d) −1/3
  24. 24.What is (−4/7) − 4/5? (a) 8/35 (b) 48/35 (c) −48/35 (d) −2/3
  25. 25.What is 1/3 + (−7/9)? (a) −1/2 (b) 10/9 (c) −4/9 (d) 4/9
  26. 26.Which is smaller: −2/7 or −5/6? (a) −5/6 (b) −2/7
  27. 27.What is the additive inverse of 4/9? (a) −9/4 (b) 9/4 (c) −4/9 (d) 4/9
  28. 28.What is (−4/7) − (−6/7)? (a) −2/7 (b) −10/7 (c) 2/7 (d) 1/7
  29. 29.Write −24/42 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −24/42 (c) −4/7 (d) −7/4
  30. 30.Is 6/(−8) positive or negative? (a) Positive (b) Negative
  31. 31.Is −6/(−5) positive or negative? (a) Negative (b) Positive
  32. 32.Which is bigger: −1/2 or 5/9? (a) −1/2 (b) 5/9
  33. 33.What is 1/4 + (−2/7)? (a) −1/11 (b) 15/28 (c) 1/28 (d) −1/28
  34. 34.Is −2/3 positive or negative? (a) Negative (b) Positive
  35. 35.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −12/18 (b) −2/3 (c) 2/3 (d) −3/2
  36. 36.What is (−1/3) − 2/5? (a) 1/15 (b) 11/15 (c) −3/8 (d) −11/15
  37. 37.What is the additive inverse of 8/9? (a) 9/8 (b) 8/9 (c) −9/8 (d) −8/9
  38. 38.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −9/12 (b) 3/4 (c) −3/4 (d) −4/3
  39. 39.Which is bigger: −2/3 or −2/5? (a) −2/3 (b) −2/5
  40. 40.Write −12/54 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −12/54 (d) −2/9

Answer key

  1. 7/8
  2. Negative
  3. −7/5
  4. −5/8
  5. −3/7
  6. −31/63
  7. −4/9
  8. −3/7
  9. Negative
  10. −1/2
  11. 8/7
  12. 2/9
  13. Positive
  14. −3/8
  15. 5/8
  16. −97/56
  17. −2/7
  18. −1/5
  19. −1/8
  20. Negative
  21. −1/6
  22. −1/3
  23. 1/3
  24. −48/35
  25. −4/9
  26. −5/6
  27. −4/9
  28. 2/7
  29. −4/7
  30. Negative
  31. Positive
  32. 5/9
  33. −1/28
  34. Negative
  35. −2/3
  36. −11/15
  37. −8/9
  38. −3/4
  39. −2/5
  40. −2/9

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