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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 317 · 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 −8/9? (a) 8/9 (b) −9/8 (c) −8/9 (d) 9/8
  2. 2.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  3. 3.What is (−7/9) + (−2/7)? (a) −31/63 (b) −9/16 (c) −67/63 (d) 67/63
  4. 4.What is 1/8 − (−3/7)? (a) 4/15 (b) −17/56 (c) 31/56 (d) −31/56
  5. 5.What is 1/8 − (−1/2)? (a) −5/8 (b) −3/8 (c) 5/8 (d) 1/5
  6. 6.What is the reciprocal (multiplicative inverse) of 1/5? (a) −5 (b) 1/5 (c) −1/5 (d) 5
  7. 7.Which is smaller: −8/9 or 1/8? (a) 1/8 (b) −8/9
  8. 8.Is 8/9 positive or negative? (a) Positive (b) Negative
  9. 9.What is (−4/5) + 1/6? (a) −29/30 (b) 19/30 (c) −3/11 (d) −19/30
  10. 10.What is the reciprocal (multiplicative inverse) of −1/4? (a) 1/4 (b) −1/4 (c) 4 (d) −4
  11. 11.Is 2/5 positive or negative? (a) Negative (b) Positive
  12. 12.Which is smaller: −2/5 or −6/7? (a) −2/5 (b) −6/7
  13. 13.What is (−5/6) − 5/9? (a) −2/3 (b) 25/18 (c) −5/18 (d) −25/18
  14. 14.Is 9/(−7) positive or negative? (a) Positive (b) Negative
  15. 15.Is −3/6 positive or negative? (a) Negative (b) Positive
  16. 16.Which is smaller: −1/2 or 6/7? (a) −1/2 (b) 6/7
  17. 17.What is the additive inverse of −4/5? (a) 5/4 (b) −5/4 (c) 4/5 (d) −4/5
  18. 18.What is the additive inverse of −1/4? (a) −4 (b) 4 (c) −1/4 (d) 1/4
  19. 19.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) −25/45 (b) 5/9 (c) −9/5 (d) −5/9
  20. 20.What is (−1/9) − 2/5? (a) 23/45 (b) −3/14 (c) −23/45 (d) 13/45
  21. 21.What is the additive inverse of −1/5? (a) −5 (b) 5 (c) 1/5 (d) −1/5
  22. 22.Which is smaller: −5/8 or 4/7? (a) −5/8 (b) 4/7
  23. 23.What is 2/3 − (−1/3)? (a) 1 (b) 1/3 (c) 1/2 (d) −1
  24. 24.What is the additive inverse of −1/6? (a) −6 (b) 1/6 (c) 6 (d) −1/6
  25. 25.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) 2/3 (d) −12/18
  26. 26.Is −9/9 positive or negative? (a) Positive (b) Negative
  27. 27.Which is bigger: −5/6 or 7/8? (a) −5/6 (b) 7/8
  28. 28.What is the additive inverse of 2/9? (a) 9/2 (b) −9/2 (c) 2/9 (d) −2/9
  29. 29.Is 1/(−5) positive or negative? (a) Positive (b) Negative
  30. 30.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) −18/48 (d) 3/8
  31. 31.Which is smaller: −2/7 or −5/9? (a) −5/9 (b) −2/7
  32. 32.What is (−2/9) − 7/8? (a) −79/72 (b) −9/17 (c) 79/72 (d) 47/72
  33. 33.What is the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) −9/8 (c) 9/8 (d) −8/9
  34. 34.Is 5/(−9) positive or negative? (a) Positive (b) Negative
  35. 35.What is 3/7 + (−7/8)? (a) 73/56 (b) 25/56 (c) −4/15 (d) −25/56
  36. 36.What is the additive inverse of 7/8? (a) −8/7 (b) 8/7 (c) 7/8 (d) −7/8
  37. 37.Is 4/(−6) positive or negative? (a) Positive (b) Negative
  38. 38.Is −2/(−2) positive or negative? (a) Negative (b) Positive
  39. 39.What is 8/9 + (−6/7)? (a) 1/8 (b) −2/63 (c) 110/63 (d) 2/63
  40. 40.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) 5/3 (c) −5/3 (d) 3/5

Answer key

  1. −9/8
  2. 4
  3. −67/63
  4. 31/56
  5. 5/8
  6. 5
  7. −8/9
  8. Positive
  9. −19/30
  10. −4
  11. Positive
  12. −6/7
  13. −25/18
  14. Negative
  15. Negative
  16. −1/2
  17. 4/5
  18. 1/4
  19. −5/9
  20. −23/45
  21. 1/5
  22. −5/8
  23. 1
  24. 1/6
  25. −2/3
  26. Negative
  27. 7/8
  28. −2/9
  29. Negative
  30. −3/8
  31. −5/9
  32. −79/72
  33. 9/8
  34. Negative
  35. −25/56
  36. −7/8
  37. Negative
  38. Positive
  39. 2/63
  40. 5/3

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