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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 569 · 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: −2/3 or −1/5? (a) −2/3 (b) −1/5
  2. 2.What is 1/9 + (−3/5)? (a) 22/45 (b) 32/45 (c) −22/45 (d) −1/7
  3. 3.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −5/30 (c) 1/6 (d) −1/6
  4. 4.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −2/6 (c) −1/3 (d) −3/1
  5. 5.Is 5/6 positive or negative? (a) Positive (b) Negative
  6. 6.Which is smaller: −3/8 or −1/5? (a) −1/5 (b) −3/8
  7. 7.Write 6/(−30) in standard form (lowest terms, positive denominator). (a) −6/30 (b) 1/5 (c) −5/1 (d) −1/5
  8. 8.What is (−1/5) − 5/7? (a) 18/35 (b) −1/2 (c) 32/35 (d) −32/35
  9. 9.Is −3/2 positive or negative? (a) Negative (b) Positive
  10. 10.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) −12/30 (d) 2/5
  11. 11.What is (−3/4) + (−4/9)? (a) −11/36 (b) −7/13 (c) 43/36 (d) −43/36
  12. 12.What is the additive inverse of 1/9? (a) −9 (b) 9 (c) −1/9 (d) 1/9
  13. 13.What is (−8/9) − (−1/3)? (a) −7/12 (b) −11/9 (c) 5/9 (d) −5/9
  14. 14.Which is smaller: −1/9 or −7/9? (a) −7/9 (b) −1/9
  15. 15.Which is bigger: −7/8 or −3/5? (a) −7/8 (b) −3/5
  16. 16.What is (−1/6) − 1/5? (a) 11/30 (b) 1/30 (c) −2/11 (d) −11/30
  17. 17.What is (−3/5) + (−2/5)? (a) −1/5 (b) 1 (c) −1 (d) −1/2
  18. 18.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −2/1 (b) −4/8 (c) −1/2 (d) 1/2
  19. 19.Is −4/(−5) positive or negative? (a) Positive (b) Negative
  20. 20.Which is smaller: −1/8 or −1/7? (a) −1/8 (b) −1/7
  21. 21.Which is smaller: −1/8 or −6/7? (a) −1/8 (b) −6/7
  22. 22.Is 4/2 positive or negative? (a) Positive (b) Negative
  23. 23.Write −2/8 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −1/4 (d) −2/8
  24. 24.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  25. 25.What is the reciprocal (multiplicative inverse) of −4/9? (a) −4/9 (b) 9/4 (c) −9/4 (d) 4/9
  26. 26.Which is bigger: −2/9 or 2/5? (a) 2/5 (b) −2/9
  27. 27.Which is bigger: −7/9 or −4/5? (a) −7/9 (b) −4/5
  28. 28.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −7/2 (d) −4/14
  29. 29.Is 1/9 positive or negative? (a) Positive (b) Negative
  30. 30.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) −24/42 (b) −7/4 (c) −4/7 (d) 4/7
  31. 31.What is 3/4 + (−4/5)? (a) 31/20 (b) −1/9 (c) 1/20 (d) −1/20
  32. 32.Write −6/18 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −6/18 (c) 1/3 (d) −1/3
  33. 33.Which is smaller: −5/6 or −1/2? (a) −1/2 (b) −5/6
  34. 34.Is −9/6 positive or negative? (a) Positive (b) Negative
  35. 35.What is (−1/2) + 3/5? (a) −1/10 (b) −11/10 (c) 2/7 (d) 1/10
  36. 36.What is 1/8 + (−3/8)? (a) 1/4 (b) −1/4 (c) −1/8 (d) 1/2
  37. 37.What is (−3/8) + (−4/9)? (a) −59/72 (b) −7/17 (c) 5/72 (d) 59/72
  38. 38.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −1/6 (c) −6/1 (d) −6/36
  39. 39.Is −8/6 positive or negative? (a) Negative (b) Positive
  40. 40.Is −7/6 positive or negative? (a) Positive (b) Negative

Answer key

  1. −1/5
  2. −22/45
  3. −1/6
  4. −1/3
  5. Positive
  6. −3/8
  7. −1/5
  8. −32/35
  9. Negative
  10. −2/5
  11. −43/36
  12. −1/9
  13. −5/9
  14. −7/9
  15. −3/5
  16. −11/30
  17. −1
  18. −1/2
  19. Positive
  20. −1/7
  21. −6/7
  22. Positive
  23. −1/4
  24. Positive
  25. −9/4
  26. 2/5
  27. −7/9
  28. −2/7
  29. Positive
  30. −4/7
  31. −1/20
  32. −1/3
  33. −5/6
  34. Negative
  35. 1/10
  36. −1/4
  37. −59/72
  38. −1/6
  39. Negative
  40. Negative

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