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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 886 · 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/(−2) positive or negative? (a) Positive (b) Negative
  2. 2.Write −4/14 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −4/14 (c) −2/7 (d) 2/7
  3. 3.Which is bigger: −3/4 or 2/7? (a) −3/4 (b) 2/7
  4. 4.What is (−6/7) + 5/8? (a) −83/56 (b) 13/56 (c) −13/56 (d) −1/15
  5. 5.What is (−6/7) − (−5/6)? (a) −1/42 (b) −71/42 (c) −1/13 (d) 1/42
  6. 6.What is 1/9 + (−1/6)? (a) 1/18 (b) 5/18 (c) 0 (d) −1/18
  7. 7.Write −12/18 in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −12/18 (d) −3/2
  8. 8.What is (−2/7) − (−3/5)? (a) 11/35 (b) −31/35 (c) 1/12 (d) −11/35
  9. 9.What is 5/9 − (−4/9)? (a) 1/2 (b) 1 (c) −1 (d) 1/9
  10. 10.What is the additive inverse of 7/8? (a) 7/8 (b) −7/8 (c) −8/7 (d) 8/7
  11. 11.Is 9/6 positive or negative? (a) Negative (b) Positive
  12. 12.What is the additive inverse of 3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3
  13. 13.What is (−2/7) − 3/7? (a) −5/14 (b) 5/7 (c) 1/7 (d) −5/7
  14. 14.Which is smaller: −5/8 or −1/3? (a) −1/3 (b) −5/8
  15. 15.What is (−7/8) − 2/9? (a) −47/72 (b) −9/17 (c) 79/72 (d) −79/72
  16. 16.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −5/8 (d) −25/40
  17. 17.Which is smaller: −4/7 or 5/6? (a) −4/7 (b) 5/6
  18. 18.Is 1/5 positive or negative? (a) Negative (b) Positive
  19. 19.What is the reciprocal (multiplicative inverse) of −1/4? (a) −1/4 (b) 4 (c) −4 (d) 1/4
  20. 20.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −6/18 (c) −1/3 (d) 1/3
  21. 21.What is 7/8 − (−1/3)? (a) −29/24 (b) 29/24 (c) 8/11 (d) 13/24
  22. 22.What is (−4/7) + 1/2? (a) −1/3 (b) −15/14 (c) 1/14 (d) −1/14
  23. 23.Is 5/8 positive or negative? (a) Negative (b) Positive
  24. 24.Write −12/16 in standard form (lowest terms, positive denominator). (a) −12/16 (b) 3/4 (c) −4/3 (d) −3/4
  25. 25.What is (−1/5) + 5/9? (a) −34/45 (b) −16/45 (c) 16/45 (d) 2/7
  26. 26.What is the additive inverse of 1/3? (a) 3 (b) −1/3 (c) −3 (d) 1/3
  27. 27.What is (−4/9) − (−1/6)? (a) −5/18 (b) −11/18 (c) 5/18 (d) −1/5
  28. 28.What is the additive inverse of 2/7? (a) 2/7 (b) −7/2 (c) 7/2 (d) −2/7
  29. 29.Write −10/12 in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −10/12 (d) −6/5
  30. 30.What is the additive inverse of 7/9? (a) 9/7 (b) −7/9 (c) −9/7 (d) 7/9
  31. 31.What is (−1/7) + (−5/7)? (a) −3/7 (b) −6/7 (c) 6/7 (d) 4/7
  32. 32.What is 5/8 − (−1/3)? (a) 7/24 (b) −23/24 (c) 6/11 (d) 23/24
  33. 33.Is 9/3 positive or negative? (a) Positive (b) Negative
  34. 34.What is 2/5 + (−1/5)? (a) 1/10 (b) 1/5 (c) −1/5 (d) 3/5
  35. 35.What is the additive inverse of 5/9? (a) −9/5 (b) −5/9 (c) 9/5 (d) 5/9
  36. 36.Is −7/(−6) positive or negative? (a) Positive (b) Negative
  37. 37.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −6/7 (b) −7/6 (c) −24/28 (d) 6/7
  38. 38.Which is bigger: −1/9 or −1/6? (a) −1/9 (b) −1/6
  39. 39.Which is smaller: −3/5 or −1/5? (a) −3/5 (b) −1/5
  40. 40.What is the additive inverse of 5/7? (a) −7/5 (b) −5/7 (c) 5/7 (d) 7/5

Answer key

  1. Negative
  2. −2/7
  3. 2/7
  4. −13/56
  5. −1/42
  6. −1/18
  7. −2/3
  8. 11/35
  9. 1
  10. −7/8
  11. Positive
  12. −3/8
  13. −5/7
  14. −5/8
  15. −79/72
  16. −5/8
  17. −4/7
  18. Positive
  19. −4
  20. −1/3
  21. 29/24
  22. −1/14
  23. Positive
  24. −3/4
  25. 16/45
  26. −1/3
  27. −5/18
  28. −2/7
  29. −5/6
  30. −7/9
  31. −6/7
  32. 23/24
  33. Positive
  34. 1/5
  35. −5/9
  36. Positive
  37. −6/7
  38. −1/9
  39. −3/5
  40. −5/7

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