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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 516 · 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 −4/(−8) positive or negative? (a) Positive (b) Negative
  2. 2.Which is smaller: −3/7 or −1/3? (a) −1/3 (b) −3/7
  3. 3.Which is smaller: −5/8 or −1/9? (a) −5/8 (b) −1/9
  4. 4.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) 3/7 (c) −3/7 (d) −7/3
  5. 5.Is −9/6 positive or negative? (a) Negative (b) Positive
  6. 6.Is 1/4 positive or negative? (a) Positive (b) Negative
  7. 7.What is the reciprocal (multiplicative inverse) of −5/9? (a) −9/5 (b) 5/9 (c) 9/5 (d) −5/9
  8. 8.What is 1/7 + (−7/8)? (a) −2/5 (b) 57/56 (c) −41/56 (d) 41/56
  9. 9.Which is smaller: −1/5 or −2/7? (a) −2/7 (b) −1/5
  10. 10.What is 7/8 + (−1/9)? (a) 55/72 (b) 71/72 (c) −55/72 (d) 6/17
  11. 11.Is −9/2 positive or negative? (a) Negative (b) Positive
  12. 12.What is 3/8 + (−1/5)? (a) 2/13 (b) 7/40 (c) −7/40 (d) 23/40
  13. 13.What is (−1/7) + (−1/3)? (a) 4/21 (b) −1/5 (c) −10/21 (d) 10/21
  14. 14.What is the additive inverse of 2/9? (a) 2/9 (b) −2/9 (c) −9/2 (d) 9/2
  15. 15.Is 8/(−9) positive or negative? (a) Negative (b) Positive
  16. 16.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −1/7 (d) −3/21
  17. 17.What is 4/5 − (−2/7)? (a) 18/35 (b) 1/2 (c) −38/35 (d) 38/35
  18. 18.What is (−1/4) − 8/9? (a) 41/36 (b) −9/13 (c) −41/36 (d) 23/36
  19. 19.What is (−1/8) − 1/5? (a) 13/40 (b) −13/40 (c) −2/13 (d) 3/40
  20. 20.Is −3/9 positive or negative? (a) Negative (b) Positive
  21. 21.Is 1/2 positive or negative? (a) Negative (b) Positive
  22. 22.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −2/12 (c) 1/6 (d) −1/6
  23. 23.Which is bigger: −8/9 or −3/8? (a) −8/9 (b) −3/8
  24. 24.Is 1/(−9) positive or negative? (a) Positive (b) Negative
  25. 25.What is the additive inverse of 8/9? (a) 9/8 (b) −9/8 (c) −8/9 (d) 8/9
  26. 26.What is the additive inverse of −7/8? (a) −8/7 (b) −7/8 (c) 7/8 (d) 8/7
  27. 27.What is 1/3 − (−7/9)? (a) 2/3 (b) 10/9 (c) −4/9 (d) −10/9
  28. 28.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) −4/3 (c) 4/3 (d) 3/4
  29. 29.What is (−4/5) − (−5/7)? (a) 3/35 (b) −53/35 (c) 1/12 (d) −3/35
  30. 30.What is (−2/5) − 2/9? (a) −2/7 (b) −28/45 (c) 28/45 (d) −8/45
  31. 31.Is −5/3 positive or negative? (a) Positive (b) Negative
  32. 32.What is the additive inverse of 3/7? (a) 7/3 (b) 3/7 (c) −3/7 (d) −7/3
  33. 33.What is (−1/6) + (−5/9)? (a) 7/18 (b) 13/18 (c) −2/5 (d) −13/18
  34. 34.Is 9/(−9) positive or negative? (a) Positive (b) Negative
  35. 35.Is −7/7 positive or negative? (a) Positive (b) Negative
  36. 36.Write −18/30 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −3/5 (d) −18/30
  37. 37.Which is bigger: −3/8 or 4/5? (a) 4/5 (b) −3/8
  38. 38.Write −20/35 in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −4/7 (d) −20/35
  39. 39.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) 7/8 (d) −28/32
  40. 40.What is (−3/4) + 4/5? (a) −31/20 (b) 1/9 (c) −1/20 (d) 1/20

Answer key

  1. Positive
  2. −3/7
  3. −5/8
  4. −7/3
  5. Negative
  6. Positive
  7. −9/5
  8. −41/56
  9. −2/7
  10. 55/72
  11. Negative
  12. 7/40
  13. −10/21
  14. −2/9
  15. Negative
  16. −1/7
  17. 38/35
  18. −41/36
  19. −13/40
  20. Negative
  21. Positive
  22. −1/6
  23. −3/8
  24. Negative
  25. −8/9
  26. 7/8
  27. 10/9
  28. −4/3
  29. −3/35
  30. −28/45
  31. Negative
  32. −3/7
  33. −13/18
  34. Negative
  35. Negative
  36. −3/5
  37. 4/5
  38. −4/7
  39. −7/8
  40. 1/20

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