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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 113 · 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 7/4 positive or negative? (a) Positive (b) Negative
  2. 2.Write −4/12 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) 1/3 (d) −4/12
  3. 3.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) −3/5 (c) 5/3 (d) 3/5
  4. 4.What is (−7/9) − 7/8? (a) 119/72 (b) 7/72 (c) −119/72 (d) −14/17
  5. 5.Which is bigger: −1/9 or −4/9? (a) −1/9 (b) −4/9
  6. 6.What is (−1/4) + (−1/6)? (a) 5/12 (b) −5/12 (c) −1/12 (d) −1/5
  7. 7.Which is smaller: −2/5 or 2/7? (a) 2/7 (b) −2/5
  8. 8.What is (−7/9) + (−1/2)? (a) 23/18 (b) −5/18 (c) −8/11 (d) −23/18
  9. 9.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −35/40 (b) −7/8 (c) −8/7 (d) 7/8
  10. 10.What is 6/7 + (−1/9)? (a) −47/63 (b) 5/16 (c) 61/63 (d) 47/63
  11. 11.Is 1/3 positive or negative? (a) Negative (b) Positive
  12. 12.Which is bigger: −6/7 or 4/9? (a) −6/7 (b) 4/9
  13. 13.Is 3/(−4) positive or negative? (a) Negative (b) Positive
  14. 14.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 3/2 (c) −3/2 (d) 2/3
  15. 15.What is (−6/7) + 7/8? (a) −1/56 (b) 1/15 (c) 1/56 (d) −97/56
  16. 16.What is the reciprocal (multiplicative inverse) of −5/8? (a) −5/8 (b) 5/8 (c) −8/5 (d) 8/5
  17. 17.Write −4/16 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −4/16 (d) −1/4
  18. 18.Is −6/8 positive or negative? (a) Positive (b) Negative
  19. 19.What is (−1/4) + (−4/7)? (a) 23/28 (b) 9/28 (c) −5/11 (d) −23/28
  20. 20.Is 3/2 positive or negative? (a) Positive (b) Negative
  21. 21.What is the additive inverse of 1/3? (a) 1/3 (b) 3 (c) −3 (d) −1/3
  22. 22.Write −2/16 in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −2/16 (d) −1/8
  23. 23.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  24. 24.What is (−6/7) − 1/8? (a) −7/15 (b) −55/56 (c) −41/56 (d) 55/56
  25. 25.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) −3 (c) 1/3 (d) 3
  26. 26.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  27. 27.What is (−3/7) + (−4/5)? (a) 43/35 (b) −7/12 (c) 13/35 (d) −43/35
  28. 28.Which is bigger: −7/8 or −1/7? (a) −1/7 (b) −7/8
  29. 29.What is (−4/7) + 5/6? (a) 1/13 (b) −59/42 (c) 11/42 (d) −11/42
  30. 30.Is −2/9 positive or negative? (a) Negative (b) Positive
  31. 31.What is 1/9 − (−2/7)? (a) 25/63 (b) −11/63 (c) −25/63 (d) 3/16
  32. 32.Write −3/18 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −1/6 (c) −6/1 (d) −3/18
  33. 33.What is 1/7 + (−2/5)? (a) −1/12 (b) 9/35 (c) −9/35 (d) 19/35
  34. 34.What is the additive inverse of −7/8? (a) 8/7 (b) −7/8 (c) −8/7 (d) 7/8
  35. 35.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) −12/28 (d) 3/7
  36. 36.What is (−3/4) + 6/7? (a) −3/28 (b) −45/28 (c) 3/28 (d) 3/11
  37. 37.What is the reciprocal (multiplicative inverse) of 4/5? (a) 5/4 (b) 4/5 (c) −5/4 (d) −4/5
  38. 38.Which is bigger: −5/9 or 4/5? (a) −5/9 (b) 4/5
  39. 39.Which is bigger: −2/3 or 3/7? (a) 3/7 (b) −2/3
  40. 40.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) −1/2 (c) 1/2 (d) 2

Answer key

  1. Positive
  2. −1/3
  3. −5/3
  4. −119/72
  5. −1/9
  6. −5/12
  7. −2/5
  8. −23/18
  9. −7/8
  10. 47/63
  11. Positive
  12. 4/9
  13. Negative
  14. 3/2
  15. 1/56
  16. −8/5
  17. −1/4
  18. Negative
  19. −23/28
  20. Positive
  21. −1/3
  22. −1/8
  23. Negative
  24. −55/56
  25. 3
  26. −7/6
  27. −43/35
  28. −1/7
  29. 11/42
  30. Negative
  31. 25/63
  32. −1/6
  33. −9/35
  34. 7/8
  35. −3/7
  36. 3/28
  37. 5/4
  38. 4/5
  39. 3/7
  40. 2

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