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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 43 · 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 (−1/3) − (−5/8)? (a) −7/24 (b) 4/11 (c) −23/24 (d) 7/24
  2. 2.What is 7/9 + (−1/2)? (a) −5/18 (b) 23/18 (c) 5/18 (d) 6/11
  3. 3.What is the additive inverse of −3/8? (a) −8/3 (b) −3/8 (c) 8/3 (d) 3/8
  4. 4.What is the additive inverse of 5/7? (a) 5/7 (b) 7/5 (c) −5/7 (d) −7/5
  5. 5.What is the additive inverse of 7/8? (a) 7/8 (b) −7/8 (c) −8/7 (d) 8/7
  6. 6.Is 3/5 positive or negative? (a) Negative (b) Positive
  7. 7.What is (−1/2) + (−4/7)? (a) 15/14 (b) 1/14 (c) −15/14 (d) −5/9
  8. 8.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −6/15 (b) −2/5 (c) 2/5 (d) −5/2
  9. 9.Is 3/8 positive or negative? (a) Negative (b) Positive
  10. 10.What is (−5/9) − 1/2? (a) −6/11 (b) −1/18 (c) −19/18 (d) 19/18
  11. 11.Which is smaller: −4/5 or −1/4? (a) −4/5 (b) −1/4
  12. 12.What is the reciprocal (multiplicative inverse) of −4/9? (a) −4/9 (b) 4/9 (c) 9/4 (d) −9/4
  13. 13.What is the reciprocal (multiplicative inverse) of −1/5? (a) −1/5 (b) 5 (c) 1/5 (d) −5
  14. 14.What is 1/8 + (−5/8)? (a) 1/2 (b) 3/4 (c) −1/4 (d) −1/2
  15. 15.Write −4/24 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −4/24 (c) −1/6 (d) 1/6
  16. 16.Write −12/18 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −12/18 (c) −2/3 (d) −3/2
  17. 17.What is (−8/9) + (−5/7)? (a) −11/63 (b) −13/16 (c) 101/63 (d) −101/63
  18. 18.Is 9/7 positive or negative? (a) Positive (b) Negative
  19. 19.Write −5/15 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −1/3 (d) −5/15
  20. 20.Is 8/(−4) positive or negative? (a) Positive (b) Negative
  21. 21.Is −4/(−9) positive or negative? (a) Negative (b) Positive
  22. 22.What is 2/5 + (−4/5)? (a) 6/5 (b) −1/5 (c) −2/5 (d) 2/5
  23. 23.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) 1/2 (c) 2 (d) −1/2
  24. 24.What is (−3/8) + 7/8? (a) 1/4 (b) −5/4 (c) −1/2 (d) 1/2
  25. 25.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −25/30 (b) 5/6 (c) −5/6 (d) −6/5
  26. 26.Is 4/(−4) positive or negative? (a) Positive (b) Negative
  27. 27.What is (−7/8) + (−2/7)? (a) −33/56 (b) 65/56 (c) −65/56 (d) −3/5
  28. 28.Is 9/2 positive or negative? (a) Negative (b) Positive
  29. 29.What is the additive inverse of −6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  30. 30.Which is bigger: −1/4 or −3/7? (a) −1/4 (b) −3/7
  31. 31.Is 9/(−5) positive or negative? (a) Positive (b) Negative
  32. 32.Which is smaller: −1/3 or −5/9? (a) −1/3 (b) −5/9
  33. 33.Is 2/(−7) positive or negative? (a) Positive (b) Negative
  34. 34.What is the reciprocal (multiplicative inverse) of −1/9? (a) 1/9 (b) −1/9 (c) 9 (d) −9
  35. 35.What is (−3/7) + (−2/3)? (a) 5/21 (b) −1/2 (c) 23/21 (d) −23/21
  36. 36.What is the additive inverse of −4/5? (a) −5/4 (b) −4/5 (c) 4/5 (d) 5/4
  37. 37.What is 7/8 + (−1/2)? (a) 3/8 (b) 11/8 (c) −3/8 (d) 3/5
  38. 38.Is 8/3 positive or negative? (a) Positive (b) Negative
  39. 39.Which is bigger: −7/9 or 1/6? (a) −7/9 (b) 1/6
  40. 40.What is the additive inverse of 5/8? (a) 5/8 (b) −5/8 (c) −8/5 (d) 8/5

Answer key

  1. 7/24
  2. 5/18
  3. 3/8
  4. −5/7
  5. −7/8
  6. Positive
  7. −15/14
  8. −2/5
  9. Positive
  10. −19/18
  11. −4/5
  12. −9/4
  13. −5
  14. −1/2
  15. −1/6
  16. −2/3
  17. −101/63
  18. Positive
  19. −1/3
  20. Negative
  21. Positive
  22. −2/5
  23. 2
  24. 1/2
  25. −5/6
  26. Negative
  27. −65/56
  28. Positive
  29. 6/7
  30. −1/4
  31. Negative
  32. −5/9
  33. Negative
  34. −9
  35. −23/21
  36. 4/5
  37. 3/8
  38. Positive
  39. 1/6
  40. −5/8

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