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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 4 · 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.Write −6/9 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −3/2 (d) −6/9
  2. 2.Is −4/7 positive or negative? (a) Negative (b) Positive
  3. 3.What is the reciprocal (multiplicative inverse) of 5/9? (a) 5/9 (b) 9/5 (c) −9/5 (d) −5/9
  4. 4.Is −1/4 positive or negative? (a) Negative (b) Positive
  5. 5.What is the additive inverse of 2/7? (a) 2/7 (b) −7/2 (c) −2/7 (d) 7/2
  6. 6.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  7. 7.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −32/36 (c) −9/8 (d) −8/9
  8. 8.Which is bigger: −2/3 or 1/8? (a) 1/8 (b) −2/3
  9. 9.What is the additive inverse of 1/8? (a) −1/8 (b) 1/8 (c) 8 (d) −8
  10. 10.What is (−3/4) + 1/9? (a) 23/36 (b) −2/13 (c) −23/36 (d) −31/36
  11. 11.What is 6/7 − (−6/7)? (a) −12/7 (b) 6/7 (c) 0 (d) 12/7
  12. 12.What is 1/4 − (−5/7)? (a) 6/11 (b) −13/28 (c) 27/28 (d) −27/28
  13. 13.What is the additive inverse of −1/8? (a) −1/8 (b) 8 (c) 1/8 (d) −8
  14. 14.Write −8/14 in standard form (lowest terms, positive denominator). (a) −8/14 (b) −7/4 (c) −4/7 (d) 4/7
  15. 15.What is the additive inverse of −1/4? (a) −4 (b) −1/4 (c) 1/4 (d) 4
  16. 16.What is 3/8 + (−1/8)? (a) 1/2 (b) −1/4 (c) 1/8 (d) 1/4
  17. 17.Which is bigger: −1/3 or 3/4? (a) 3/4 (b) −1/3
  18. 18.Is 6/(−4) positive or negative? (a) Positive (b) Negative
  19. 19.What is the additive inverse of −8/9? (a) −8/9 (b) 9/8 (c) −9/8 (d) 8/9
  20. 20.Write −6/12 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) −6/12 (d) 1/2
  21. 21.Is 6/(−5) positive or negative? (a) Negative (b) Positive
  22. 22.What is (−1/8) + 1/8? (a) −1/4 (b) 0
  23. 23.What is (−4/9) + (−1/5)? (a) 29/45 (b) −11/45 (c) −29/45 (d) −5/14
  24. 24.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) 7/6 (c) 6/7 (d) −7/6
  25. 25.Is 9/4 positive or negative? (a) Positive (b) Negative
  26. 26.What is (−8/9) + (−1/4)? (a) −9/13 (b) −41/36 (c) −23/36 (d) 41/36
  27. 27.What is the additive inverse of −2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  28. 28.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) −8 (c) 8 (d) −1/8
  29. 29.What is the reciprocal (multiplicative inverse) of 1/9? (a) 1/9 (b) −9 (c) 9 (d) −1/9
  30. 30.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −1/7 (d) −3/21
  31. 31.Is 1/(−7) positive or negative? (a) Negative (b) Positive
  32. 32.Is 7/2 positive or negative? (a) Negative (b) Positive
  33. 33.Which is smaller: −6/7 or 1/2? (a) −6/7 (b) 1/2
  34. 34.Which is bigger: −4/9 or −2/7? (a) −2/7 (b) −4/9
  35. 35.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −4/12 (b) 1/3 (c) −1/3 (d) −3/1
  36. 36.What is (−5/8) − (−3/5)? (a) −49/40 (b) −1/40 (c) −2/13 (d) 1/40
  37. 37.What is the additive inverse of −2/7? (a) 7/2 (b) −2/7 (c) −7/2 (d) 2/7
  38. 38.Write −16/18 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −16/18 (d) 8/9
  39. 39.What is (−3/7) − (−8/9)? (a) 5/16 (b) −29/63 (c) −83/63 (d) 29/63
  40. 40.What is the additive inverse of −1/9? (a) 1/9 (b) −9 (c) −1/9 (d) 9

Answer key

  1. −2/3
  2. Negative
  3. 9/5
  4. Negative
  5. −2/7
  6. Negative
  7. −8/9
  8. 1/8
  9. −1/8
  10. −23/36
  11. 12/7
  12. 27/28
  13. 1/8
  14. −4/7
  15. 1/4
  16. 1/4
  17. 3/4
  18. Negative
  19. 8/9
  20. −1/2
  21. Negative
  22. 0
  23. −29/45
  24. 7/6
  25. Positive
  26. −41/36
  27. 2/5
  28. 8
  29. 9
  30. −1/7
  31. Negative
  32. Positive
  33. −6/7
  34. −2/7
  35. −1/3
  36. −1/40
  37. 2/7
  38. −8/9
  39. 29/63
  40. 1/9

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