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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 795 · 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 additive inverse of 6/7? (a) 7/6 (b) 6/7 (c) −6/7 (d) −7/6
  2. 2.What is (−2/7) − (−1/7)? (a) −3/7 (b) −1/14 (c) 1/7 (d) −1/7
  3. 3.What is (−7/8) + (−1/2)? (a) −11/8 (b) −4/5 (c) 11/8 (d) −3/8
  4. 4.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) 2/5 (c) −2/5 (d) 5/2
  5. 5.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −20/35 (c) −7/4 (d) −4/7
  6. 6.Which is smaller: −4/5 or 5/9? (a) 5/9 (b) −4/5
  7. 7.What is (−3/5) + (−3/5)? (a) 6/5 (b) −3/5 (c) 0 (d) −6/5
  8. 8.What is the additive inverse of −7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8
  9. 9.What is the additive inverse of −5/6? (a) 5/6 (b) −5/6 (c) −6/5 (d) 6/5
  10. 10.Is 5/6 positive or negative? (a) Positive (b) Negative
  11. 11.What is the reciprocal (multiplicative inverse) of 5/7? (a) 5/7 (b) 7/5 (c) −7/5 (d) −5/7
  12. 12.Is 4/7 positive or negative? (a) Negative (b) Positive
  13. 13.What is (−5/8) + (−5/9)? (a) −5/72 (b) 85/72 (c) −10/17 (d) −85/72
  14. 14.Is 2/(−9) positive or negative? (a) Negative (b) Positive
  15. 15.What is 1/9 + (−7/9)? (a) 8/9 (b) −2/3 (c) −1/3 (d) 2/3
  16. 16.Is −1/(−8) positive or negative? (a) Negative (b) Positive
  17. 17.What is (−2/7) − 8/9? (a) 38/63 (b) −74/63 (c) −5/8 (d) 74/63
  18. 18.What is 1/6 + (−1/4)? (a) −1/12 (b) 5/12 (c) 1/12 (d) 0
  19. 19.What is the additive inverse of −6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  20. 20.Which is smaller: −1/2 or 5/8? (a) 5/8 (b) −1/2
  21. 21.What is 6/7 + (−3/8)? (a) 69/56 (b) 27/56 (c) 1/5 (d) −27/56
  22. 22.What is 3/5 − (−2/5)? (a) 1/2 (b) −1 (c) 1 (d) 1/5
  23. 23.Is 7/6 positive or negative? (a) Negative (b) Positive
  24. 24.What is the additive inverse of −5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  25. 25.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −4/10 (c) −5/2 (d) −2/5
  26. 26.What is (−3/8) + 1/5? (a) −23/40 (b) 7/40 (c) −2/13 (d) −7/40
  27. 27.Write −12/20 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) −12/20 (d) 3/5
  28. 28.What is 1/2 − (−1/3)? (a) 5/6 (b) 1/6 (c) −5/6 (d) 2/5
  29. 29.What is the additive inverse of −2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  30. 30.What is (−7/8) + 2/7? (a) −33/56 (b) 33/56 (c) −1/3 (d) −65/56
  31. 31.Which is bigger: −2/3 or −1/7? (a) −2/3 (b) −1/7
  32. 32.Is −9/(−8) positive or negative? (a) Negative (b) Positive
  33. 33.What is the additive inverse of 1/4? (a) 4 (b) −4 (c) −1/4 (d) 1/4
  34. 34.What is (−3/7) − 3/8? (a) −3/56 (b) 45/56 (c) −2/5 (d) −45/56
  35. 35.Which is smaller: −4/5 or −1/6? (a) −1/6 (b) −4/5
  36. 36.Is 7/4 positive or negative? (a) Negative (b) Positive
  37. 37.What is (−3/7) − (−2/9)? (a) −13/63 (b) −1/16 (c) −41/63 (d) 13/63
  38. 38.Which is bigger: −2/5 or −3/5? (a) −2/5 (b) −3/5
  39. 39.Which is smaller: −2/9 or −7/9? (a) −7/9 (b) −2/9
  40. 40.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) 1/6 (d) −4/24

Answer key

  1. −6/7
  2. −1/7
  3. −11/8
  4. 5/2
  5. −4/7
  6. −4/5
  7. −6/5
  8. 7/8
  9. 5/6
  10. Positive
  11. 7/5
  12. Positive
  13. −85/72
  14. Negative
  15. −2/3
  16. Positive
  17. −74/63
  18. −1/12
  19. 6/7
  20. −1/2
  21. 27/56
  22. 1
  23. Positive
  24. 5/7
  25. −2/5
  26. −7/40
  27. −3/5
  28. 5/6
  29. 2/3
  30. −33/56
  31. −1/7
  32. Positive
  33. −1/4
  34. −45/56
  35. −4/5
  36. Positive
  37. −13/63
  38. −2/5
  39. −7/9
  40. −1/6

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