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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 567 · 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 6/7 positive or negative? (a) Negative (b) Positive
  2. 2.What is the additive inverse of −5/9? (a) −5/9 (b) 9/5 (c) 5/9 (d) −9/5
  3. 3.Is −6/(−6) positive or negative? (a) Negative (b) Positive
  4. 4.Is −8/3 positive or negative? (a) Positive (b) Negative
  5. 5.Write −4/12 in standard form (lowest terms, positive denominator). (a) −4/12 (b) −3/1 (c) 1/3 (d) −1/3
  6. 6.What is 2/5 − (−2/5)? (a) −4/5 (b) 4/5 (c) 0 (d) 2/5
  7. 7.What is (−5/8) + 7/9? (a) −101/72 (b) 2/17 (c) −11/72 (d) 11/72
  8. 8.What is 7/9 − (−4/7)? (a) 11/16 (b) 85/63 (c) 13/63 (d) −85/63
  9. 9.Which is bigger: −3/7 or 4/5? (a) 4/5 (b) −3/7
  10. 10.What is (−3/5) + (−2/7)? (a) −11/35 (b) 31/35 (c) −31/35 (d) −5/12
  11. 11.What is (−1/8) + 1/4? (a) −3/8 (b) 0 (c) 1/8 (d) −1/8
  12. 12.What is (−2/9) − (−7/9)? (a) −5/9 (b) 5/18 (c) −1 (d) 5/9
  13. 13.Which is bigger: −1/4 or −7/8? (a) −7/8 (b) −1/4
  14. 14.What is (−4/9) + (−7/9)? (a) 11/9 (b) 1/3 (c) −11/18 (d) −11/9
  15. 15.Which is bigger: −1/7 or −2/7? (a) −2/7 (b) −1/7
  16. 16.Is 1/(−2) positive or negative? (a) Positive (b) Negative
  17. 17.What is the additive inverse of 7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  18. 18.Is 7/(−2) positive or negative? (a) Positive (b) Negative
  19. 19.What is 1/3 − (−4/9)? (a) 7/9 (b) −1/9 (c) −7/9 (d) 5/12
  20. 20.Which is bigger: −1/9 or 4/5? (a) −1/9 (b) 4/5
  21. 21.What is the additive inverse of 1/3? (a) 3 (b) 1/3 (c) −3 (d) −1/3
  22. 22.Is 7/2 positive or negative? (a) Negative (b) Positive
  23. 23.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −9/12 (d) −3/4
  24. 24.What is (−3/7) + 4/7? (a) 1/14 (b) −1 (c) 1/7 (d) −1/7
  25. 25.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) −2/9 (c) −9/2 (d) 9/2
  26. 26.What is the reciprocal (multiplicative inverse) of −7/9? (a) −9/7 (b) −7/9 (c) 7/9 (d) 9/7
  27. 27.What is (−1/9) − 2/3? (a) −7/9 (b) −1/4 (c) 5/9 (d) 7/9
  28. 28.What is (−5/8) + 1/9? (a) −4/17 (b) −53/72 (c) −37/72 (d) 37/72
  29. 29.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −18/48 (c) −8/3 (d) 3/8
  30. 30.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) −10/25 (b) −2/5 (c) −5/2 (d) 2/5
  31. 31.Is 3/2 positive or negative? (a) Negative (b) Positive
  32. 32.What is (−5/9) + (−6/7)? (a) 19/63 (b) −89/63 (c) 89/63 (d) −11/16
  33. 33.What is 2/7 + (−5/7)? (a) 3/7 (b) −3/7 (c) 1 (d) −3/14
  34. 34.Is −2/(−2) positive or negative? (a) Positive (b) Negative
  35. 35.Which is bigger: −3/4 or 1/2? (a) −3/4 (b) 1/2
  36. 36.Which is smaller: −2/9 or −1/2? (a) −2/9 (b) −1/2
  37. 37.What is 3/4 + (−5/9)? (a) −2/13 (b) 47/36 (c) 7/36 (d) −7/36
  38. 38.What is (−1/5) − 3/7? (a) 22/35 (b) −1/3 (c) −22/35 (d) 8/35
  39. 39.Is 2/(−9) positive or negative? (a) Positive (b) Negative
  40. 40.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −4/36 (c) −1/9 (d) 1/9

Answer key

  1. Positive
  2. 5/9
  3. Positive
  4. Negative
  5. −1/3
  6. 4/5
  7. 11/72
  8. 85/63
  9. 4/5
  10. −31/35
  11. 1/8
  12. 5/9
  13. −1/4
  14. −11/9
  15. −1/7
  16. Negative
  17. −7/8
  18. Negative
  19. 7/9
  20. 4/5
  21. −1/3
  22. Positive
  23. −3/4
  24. 1/7
  25. 9/2
  26. −9/7
  27. −7/9
  28. −37/72
  29. −3/8
  30. −2/5
  31. Positive
  32. −89/63
  33. −3/7
  34. Positive
  35. 1/2
  36. −1/2
  37. 7/36
  38. −22/35
  39. Negative
  40. −1/9

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