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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 648 · 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 3/4? (a) −4/3 (b) 4/3 (c) 3/4 (d) −3/4
  2. 2.What is (−3/7) + 3/8? (a) −45/56 (b) 3/56 (c) 0 (d) −3/56
  3. 3.Is 4/3 positive or negative? (a) Positive (b) Negative
  4. 4.What is (−6/7) + (−1/9)? (a) 61/63 (b) −61/63 (c) −7/16 (d) −47/63
  5. 5.Write −24/27 in standard form (lowest terms, positive denominator). (a) −9/8 (b) 8/9 (c) −24/27 (d) −8/9
  6. 6.What is the additive inverse of 1/5? (a) 1/5 (b) −5 (c) −1/5 (d) 5
  7. 7.Is 1/(−8) positive or negative? (a) Negative (b) Positive
  8. 8.What is 7/9 + (−3/7)? (a) −22/63 (b) 76/63 (c) 22/63 (d) 1/4
  9. 9.What is the additive inverse of −1/8? (a) −8 (b) 8 (c) −1/8 (d) 1/8
  10. 10.What is (−1/7) − 8/9? (a) −9/16 (b) −65/63 (c) 47/63 (d) 65/63
  11. 11.What is the additive inverse of −1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  12. 12.What is (−3/8) + (−4/7)? (a) −7/15 (b) 53/56 (c) −53/56 (d) 11/56
  13. 13.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −12/16 (b) −3/4 (c) −4/3 (d) 3/4
  14. 14.What is the additive inverse of 7/9? (a) −7/9 (b) −9/7 (c) 7/9 (d) 9/7
  15. 15.What is (−1/7) + (−1/3)? (a) 4/21 (b) −1/5 (c) −10/21 (d) 10/21
  16. 16.Write −18/42 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −18/42 (c) −7/3 (d) 3/7
  17. 17.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −6/8 (b) −4/3 (c) −3/4 (d) 3/4
  18. 18.Is −4/(−8) positive or negative? (a) Positive (b) Negative
  19. 19.Is 2/8 positive or negative? (a) Negative (b) Positive
  20. 20.What is (−1/9) + 1/6? (a) 1/18 (b) 0 (c) −5/18 (d) −1/18
  21. 21.What is (−1/4) + 1/5? (a) 1/20 (b) −9/20 (c) 0 (d) −1/20
  22. 22.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  23. 23.What is (−5/9) − (−8/9)? (a) −1/3 (b) 1/3 (c) −13/9 (d) 1/6
  24. 24.Is −7/(−4) positive or negative? (a) Positive (b) Negative
  25. 25.What is (−1/3) − (−1/4)? (a) −1/12 (b) −7/12 (c) 0 (d) 1/12
  26. 26.Write −3/24 in standard form (lowest terms, positive denominator). (a) −1/8 (b) 1/8 (c) −8/1 (d) −3/24
  27. 27.What is 1/2 + (−3/5)? (a) −2/7 (b) 1/10 (c) 11/10 (d) −1/10
  28. 28.Is −6/3 positive or negative? (a) Positive (b) Negative
  29. 29.What is the additive inverse of 5/9? (a) −5/9 (b) 5/9 (c) 9/5 (d) −9/5
  30. 30.What is (−1/5) + 3/4? (a) 2/9 (b) −11/20 (c) 11/20 (d) −19/20
  31. 31.What is the additive inverse of 3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  32. 32.Which is bigger: −5/7 or 4/9? (a) 4/9 (b) −5/7
  33. 33.What is the additive inverse of −5/7? (a) −7/5 (b) −5/7 (c) 7/5 (d) 5/7
  34. 34.What is (−4/5) − (−2/3)? (a) −2/15 (b) −22/15 (c) 2/15 (d) −1/4
  35. 35.What is the additive inverse of −3/8? (a) 3/8 (b) −8/3 (c) −3/8 (d) 8/3
  36. 36.Which is smaller: −1/6 or −1/7? (a) −1/7 (b) −1/6
  37. 37.What is (−1/5) + 1/5? (a) −2/5 (b) 0
  38. 38.Is −3/(−5) positive or negative? (a) Negative (b) Positive
  39. 39.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −4/5 (b) −8/10 (c) −5/4 (d) 4/5
  40. 40.Which is smaller: −4/7 or 3/8? (a) 3/8 (b) −4/7

Answer key

  1. 4/3
  2. −3/56
  3. Positive
  4. −61/63
  5. −8/9
  6. −1/5
  7. Negative
  8. 22/63
  9. 1/8
  10. −65/63
  11. 1/4
  12. −53/56
  13. −3/4
  14. −7/9
  15. −10/21
  16. −3/7
  17. −3/4
  18. Positive
  19. Positive
  20. 1/18
  21. −1/20
  22. Negative
  23. 1/3
  24. Positive
  25. −1/12
  26. −1/8
  27. −1/10
  28. Negative
  29. −5/9
  30. 11/20
  31. −3/4
  32. 4/9
  33. 5/7
  34. −2/15
  35. 3/8
  36. −1/6
  37. 0
  38. Positive
  39. −4/5
  40. −4/7

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