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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 706 · 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 3/9 positive or negative? (a) Negative (b) Positive
  2. 2.Write −24/27 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −24/27 (c) −9/8 (d) −8/9
  3. 3.Write −4/20 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) 1/5 (d) −4/20
  4. 4.What is the additive inverse of 2/3? (a) −2/3 (b) −3/2 (c) 2/3 (d) 3/2
  5. 5.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −4/24 (c) −1/6 (d) −6/1
  6. 6.Is 7/(−4) positive or negative? (a) Positive (b) Negative
  7. 7.Which is smaller: −2/5 or −2/3? (a) −2/5 (b) −2/3
  8. 8.Is 4/2 positive or negative? (a) Positive (b) Negative
  9. 9.Write −6/15 in standard form (lowest terms, positive denominator). (a) −6/15 (b) −5/2 (c) 2/5 (d) −2/5
  10. 10.Write −8/12 in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −8/12 (d) −3/2
  11. 11.What is (−7/9) + (−3/5)? (a) −62/45 (b) −5/7 (c) 62/45 (d) −8/45
  12. 12.What is the reciprocal (multiplicative inverse) of 1/8? (a) 8 (b) −1/8 (c) 1/8 (d) −8
  13. 13.Is 9/(−4) positive or negative? (a) Negative (b) Positive
  14. 14.Write −10/12 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −10/12 (c) 5/6 (d) −5/6
  15. 15.What is (−7/8) − 4/7? (a) 81/56 (b) −17/56 (c) −11/15 (d) −81/56
  16. 16.What is 7/9 − (−1/6)? (a) 8/15 (b) 11/18 (c) 17/18 (d) −17/18
  17. 17.Which is bigger: −7/8 or −4/7? (a) −4/7 (b) −7/8
  18. 18.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −18/24
  19. 19.Is −4/6 positive or negative? (a) Positive (b) Negative
  20. 20.What is (−2/3) − (−3/7)? (a) −23/21 (b) −5/21 (c) 5/21 (d) 1/10
  21. 21.What is 7/9 + (−6/7)? (a) −5/63 (b) 103/63 (c) 1/16 (d) 5/63
  22. 22.What is 7/9 + (−2/7)? (a) 31/63 (b) 5/16 (c) 67/63 (d) −31/63
  23. 23.What is (−1/9) − 4/7? (a) −5/16 (b) 43/63 (c) 29/63 (d) −43/63
  24. 24.What is the additive inverse of −4/7? (a) −7/4 (b) 7/4 (c) −4/7 (d) 4/7
  25. 25.What is the additive inverse of −2/5? (a) −5/2 (b) 5/2 (c) −2/5 (d) 2/5
  26. 26.Write −36/42 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −36/42
  27. 27.Which is smaller: −1/4 or −1/3? (a) −1/4 (b) −1/3
  28. 28.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) 5/3 (c) −3/5 (d) −5/3
  29. 29.Which is bigger: −1/9 or −1/6? (a) −1/9 (b) −1/6
  30. 30.What is (−7/9) + 1/5? (a) −44/45 (b) −26/45 (c) −3/7 (d) 26/45
  31. 31.Which is bigger: −2/3 or 5/9? (a) 5/9 (b) −2/3
  32. 32.Is 5/2 positive or negative? (a) Negative (b) Positive
  33. 33.Is −3/(−6) positive or negative? (a) Negative (b) Positive
  34. 34.Is −2/8 positive or negative? (a) Positive (b) Negative
  35. 35.Write −2/16 in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) 1/8 (d) −2/16
  36. 36.Is 3/5 positive or negative? (a) Negative (b) Positive
  37. 37.Which is smaller: −3/5 or 1/7? (a) 1/7 (b) −3/5
  38. 38.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −5/25 (d) −5/1
  39. 39.What is the additive inverse of −3/5? (a) 5/3 (b) 3/5 (c) −5/3 (d) −3/5
  40. 40.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −4/6 (d) −2/3

Answer key

  1. Positive
  2. −8/9
  3. −1/5
  4. −2/3
  5. −1/6
  6. Negative
  7. −2/3
  8. Positive
  9. −2/5
  10. −2/3
  11. −62/45
  12. 8
  13. Negative
  14. −5/6
  15. −81/56
  16. 17/18
  17. −4/7
  18. −3/4
  19. Negative
  20. −5/21
  21. −5/63
  22. 31/63
  23. −43/63
  24. 4/7
  25. 2/5
  26. −6/7
  27. −1/3
  28. −5/3
  29. −1/9
  30. −26/45
  31. 5/9
  32. Positive
  33. Positive
  34. Negative
  35. −1/8
  36. Positive
  37. −3/5
  38. −1/5
  39. 3/5
  40. −2/3

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