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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 912 · 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: −1/8 or −1/9? (a) −1/8 (b) −1/9
  2. 2.Is −4/5 positive or negative? (a) Positive (b) Negative
  3. 3.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −8/14 (b) −4/7 (c) −7/4 (d) 4/7
  4. 4.What is (−3/4) + 1/7? (a) −17/28 (b) −25/28 (c) 17/28 (d) −2/11
  5. 5.Is 5/4 positive or negative? (a) Positive (b) Negative
  6. 6.Is −1/(−3) positive or negative? (a) Negative (b) Positive
  7. 7.Is −4/8 positive or negative? (a) Positive (b) Negative
  8. 8.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −3/12 (c) 1/4 (d) −1/4
  9. 9.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −5/15 (c) 1/3 (d) −1/3
  10. 10.What is (−5/9) + (−5/8)? (a) −10/17 (b) −85/72 (c) 5/72 (d) 85/72
  11. 11.What is the reciprocal (multiplicative inverse) of 5/8? (a) −8/5 (b) 5/8 (c) 8/5 (d) −5/8
  12. 12.What is (−1/8) + (−1/5)? (a) 13/40 (b) −13/40 (c) 3/40 (d) −2/13
  13. 13.Which is smaller: −4/5 or 7/8? (a) −4/5 (b) 7/8
  14. 14.What is (−6/7) + 2/5? (a) −1/3 (b) −44/35 (c) 16/35 (d) −16/35
  15. 15.What is (−2/9) − (−1/3)? (a) −5/9 (b) 1/9 (c) −1/9 (d) −1/12
  16. 16.What is the reciprocal (multiplicative inverse) of 3/7? (a) −3/7 (b) 7/3 (c) 3/7 (d) −7/3
  17. 17.Which is bigger: −5/8 or 7/8? (a) 7/8 (b) −5/8
  18. 18.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  19. 19.Which is smaller: −5/8 or −1/3? (a) −5/8 (b) −1/3
  20. 20.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) 1/6 (c) −6 (d) −1/6
  21. 21.What is the additive inverse of −5/6? (a) 6/5 (b) −5/6 (c) −6/5 (d) 5/6
  22. 22.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −12/21 (c) −7/4 (d) 4/7
  23. 23.What is (−1/4) + 4/9? (a) −25/36 (b) 7/36 (c) −7/36 (d) 3/13
  24. 24.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) −24/54 (b) −9/4 (c) 4/9 (d) −4/9
  25. 25.Is 1/9 positive or negative? (a) Negative (b) Positive
  26. 26.What is (−3/8) − (−3/8)? (a) −3/4 (b) 0
  27. 27.What is 1/3 − (−1/8)? (a) 11/24 (b) −11/24 (c) 2/11 (d) 5/24
  28. 28.Is −4/(−4) positive or negative? (a) Positive (b) Negative
  29. 29.What is (−3/4) + (−5/8)? (a) 11/8 (b) −2/3 (c) −11/8 (d) −1/8
  30. 30.What is (−5/9) − 3/5? (a) 52/45 (b) −4/7 (c) 2/45 (d) −52/45
  31. 31.Which is smaller: −5/7 or 6/7? (a) 6/7 (b) −5/7
  32. 32.What is the reciprocal (multiplicative inverse) of −7/8? (a) −8/7 (b) 7/8 (c) −7/8 (d) 8/7
  33. 33.What is 8/9 − (−1/2)? (a) 9/11 (b) 7/18 (c) 25/18 (d) −25/18
  34. 34.Which is bigger: −4/5 or −6/7? (a) −4/5 (b) −6/7
  35. 35.Which is smaller: −1/5 or 5/7? (a) −1/5 (b) 5/7
  36. 36.Is 3/7 positive or negative? (a) Positive (b) Negative
  37. 37.Which is smaller: −1/7 or −2/7? (a) −1/7 (b) −2/7
  38. 38.What is 4/5 − (−1/9)? (a) 31/45 (b) 5/14 (c) −41/45 (d) 41/45
  39. 39.Which is bigger: −8/9 or 4/9? (a) −8/9 (b) 4/9
  40. 40.What is (−1/9) − (−2/9)? (a) −1/9 (b) 1/9 (c) −1/3 (d) 1/18

Answer key

  1. −1/9
  2. Negative
  3. −4/7
  4. −17/28
  5. Positive
  6. Positive
  7. Negative
  8. −1/4
  9. −1/3
  10. −85/72
  11. 8/5
  12. −13/40
  13. −4/5
  14. −16/35
  15. 1/9
  16. 7/3
  17. 7/8
  18. Negative
  19. −5/8
  20. 6
  21. 5/6
  22. −4/7
  23. 7/36
  24. −4/9
  25. Positive
  26. 0
  27. 11/24
  28. Positive
  29. −11/8
  30. −52/45
  31. −5/7
  32. −8/7
  33. 25/18
  34. −4/5
  35. −1/5
  36. Positive
  37. −2/7
  38. 41/45
  39. 4/9
  40. 1/9

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