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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 22 · 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.What is the reciprocal (multiplicative inverse) of 5/7? (a) −5/7 (b) 5/7 (c) −7/5 (d) 7/5
  2. 2.What is 3/5 + (−3/5)? (a) 0 (b) 6/5
  3. 3.Which is smaller: −1/8 or 5/8? (a) −1/8 (b) 5/8
  4. 4.What is the reciprocal (multiplicative inverse) of 5/9? (a) −9/5 (b) −5/9 (c) 5/9 (d) 9/5
  5. 5.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) −6/5 (c) 5/6 (d) 6/5
  6. 6.What is the reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) 7/6 (c) −6/7 (d) 6/7
  7. 7.Which is smaller: −3/5 or −4/7? (a) −4/7 (b) −3/5
  8. 8.Is −3/(−7) positive or negative? (a) Negative (b) Positive
  9. 9.What is (−6/7) − (−2/5)? (a) −1/3 (b) 16/35 (c) −44/35 (d) −16/35
  10. 10.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  11. 11.What is the additive inverse of −6/7? (a) −7/6 (b) 7/6 (c) 6/7 (d) −6/7
  12. 12.What is 2/5 − (−1/2)? (a) −9/10 (b) 3/7 (c) −1/10 (d) 9/10
  13. 13.Is 4/(−5) positive or negative? (a) Negative (b) Positive
  14. 14.What is 1/3 + (−1/5)? (a) 8/15 (b) 2/15 (c) 0 (d) −2/15
  15. 15.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) −4/18 (d) 2/9
  16. 16.What is (−2/5) + (−3/8)? (a) −31/40 (b) −1/40 (c) −5/13 (d) 31/40
  17. 17.Write −3/12 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −3/12 (d) 1/4
  18. 18.Write 15/(−20) in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −4/3 (d) −15/20
  19. 19.Is 1/9 positive or negative? (a) Negative (b) Positive
  20. 20.What is the additive inverse of 3/8? (a) 3/8 (b) −8/3 (c) −3/8 (d) 8/3
  21. 21.Write −9/15 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −5/3 (d) −9/15
  22. 22.What is (−3/5) − 8/9? (a) 13/45 (b) −67/45 (c) −11/14 (d) 67/45
  23. 23.Is 9/6 positive or negative? (a) Positive (b) Negative
  24. 24.Which is bigger: −1/3 or 4/9? (a) 4/9 (b) −1/3
  25. 25.Write −20/25 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −4/5 (d) −20/25
  26. 26.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −12/30 (b) −2/5 (c) −5/2 (d) 2/5
  27. 27.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −1/6 (b) 1/6 (c) −6/1 (d) −4/24
  28. 28.What is the reciprocal (multiplicative inverse) of 2/7? (a) 7/2 (b) −2/7 (c) 2/7 (d) −7/2
  29. 29.What is the reciprocal (multiplicative inverse) of 4/9? (a) −4/9 (b) 9/4 (c) 4/9 (d) −9/4
  30. 30.Which is smaller: −7/8 or −5/6? (a) −5/6 (b) −7/8
  31. 31.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −12/21 (d) −4/7
  32. 32.Is −4/2 positive or negative? (a) Positive (b) Negative
  33. 33.Which is smaller: −5/8 or 7/8? (a) 7/8 (b) −5/8
  34. 34.Which is bigger: −4/9 or −1/9? (a) −1/9 (b) −4/9
  35. 35.What is the additive inverse of 2/7? (a) 7/2 (b) −2/7 (c) 2/7 (d) −7/2
  36. 36.What is the reciprocal (multiplicative inverse) of −7/9? (a) 9/7 (b) −7/9 (c) 7/9 (d) −9/7
  37. 37.What is the reciprocal (multiplicative inverse) of −8/9? (a) 9/8 (b) −8/9 (c) −9/8 (d) 8/9
  38. 38.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −2/6 (c) −1/3 (d) 1/3
  39. 39.Is −9/2 positive or negative? (a) Positive (b) Negative
  40. 40.Write −10/14 in standard form (lowest terms, positive denominator). (a) −10/14 (b) −7/5 (c) −5/7 (d) 5/7

Answer key

  1. 7/5
  2. 0
  3. −1/8
  4. 9/5
  5. 6/5
  6. 7/6
  7. −3/5
  8. Positive
  9. −16/35
  10. −3
  11. 6/7
  12. 9/10
  13. Negative
  14. 2/15
  15. −2/9
  16. −31/40
  17. −1/4
  18. −3/4
  19. Positive
  20. −3/8
  21. −3/5
  22. −67/45
  23. Positive
  24. 4/9
  25. −4/5
  26. −2/5
  27. −1/6
  28. 7/2
  29. 9/4
  30. −7/8
  31. −4/7
  32. Negative
  33. −5/8
  34. −1/9
  35. −2/7
  36. −9/7
  37. −9/8
  38. −1/3
  39. Negative
  40. −5/7

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