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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 995 · 40 sums
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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 −1/3? (a) 3 (b) −3 (c) −1/3 (d) 1/3
  2. 2.What is the additive inverse of 4/9? (a) −9/4 (b) −4/9 (c) 4/9 (d) 9/4
  3. 3.Which is smaller: −1/4 or −8/9? (a) −8/9 (b) −1/4
  4. 4.Is −3/2 positive or negative? (a) Positive (b) Negative
  5. 5.Which is smaller: −5/8 or −3/4? (a) −5/8 (b) −3/4
  6. 6.Is 5/(−6) positive or negative? (a) Negative (b) Positive
  7. 7.Which is smaller: −6/7 or −4/5? (a) −6/7 (b) −4/5
  8. 8.What is (−2/3) − (−8/9)? (a) 1/2 (b) 2/9 (c) −2/9 (d) −14/9
  9. 9.Which is smaller: −1/2 or 2/3? (a) 2/3 (b) −1/2
  10. 10.Is 9/2 positive or negative? (a) Positive (b) Negative
  11. 11.What is (−4/9) + (−1/5)? (a) −5/14 (b) −29/45 (c) −11/45 (d) 29/45
  12. 12.What is (−4/9) + 4/7? (a) −8/63 (b) −64/63 (c) 8/63 (d) 0
  13. 13.What is (−4/9) − 2/3? (a) −1/2 (b) −10/9 (c) 10/9 (d) 2/9
  14. 14.What is the additive inverse of 7/8? (a) 8/7 (b) 7/8 (c) −8/7 (d) −7/8
  15. 15.What is 1/7 − (−1/3)? (a) −4/21 (b) −10/21 (c) 10/21 (d) 1/5
  16. 16.What is (−4/7) + 8/9? (a) 20/63 (b) 1/4 (c) −20/63 (d) −92/63
  17. 17.Which is smaller: −5/9 or −1/4? (a) −5/9 (b) −1/4
  18. 18.What is (−3/8) + (−7/9)? (a) −83/72 (b) 83/72 (c) 29/72 (d) −10/17
  19. 19.Is −6/(−5) positive or negative? (a) Negative (b) Positive
  20. 20.What is (−8/9) − (−2/9)? (a) −1/3 (b) −10/9 (c) −2/3 (d) 2/3
  21. 21.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3
  22. 22.Which is smaller: −1/8 or −5/6? (a) −1/8 (b) −5/6
  23. 23.Is 4/5 positive or negative? (a) Negative (b) Positive
  24. 24.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/16 (d) −4/1
  25. 25.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −4/9 (b) −8/18 (c) 4/9 (d) −9/4
  26. 26.Write −6/18 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) −6/18 (d) 1/3
  27. 27.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −4/7 (b) 4/7 (c) −8/14 (d) −7/4
  28. 28.Write −6/14 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −6/14 (c) −3/7 (d) −7/3
  29. 29.Write −15/40 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −15/40 (c) −8/3 (d) −3/8
  30. 30.Is 2/2 positive or negative? (a) Positive (b) Negative
  31. 31.Write −6/12 in standard form (lowest terms, positive denominator). (a) −1/2 (b) 1/2 (c) −6/12 (d) −2/1
  32. 32.What is 1/2 − (−3/8)? (a) 2/5 (b) −7/8 (c) 1/8 (d) 7/8
  33. 33.Is −7/(−2) positive or negative? (a) Negative (b) Positive
  34. 34.Is −1/6 positive or negative? (a) Negative (b) Positive
  35. 35.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −3/2 (d) −8/12
  36. 36.Which is bigger: −2/3 or −5/9? (a) −5/9 (b) −2/3
  37. 37.What is (−1/6) − 3/4? (a) −11/12 (b) 7/12 (c) 11/12 (d) −2/5
  38. 38.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −4/24 (c) 1/6 (d) −1/6
  39. 39.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  40. 40.Write −5/40 in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −5/40 (d) −1/8

Answer key

  1. 1/3
  2. −4/9
  3. −8/9
  4. Negative
  5. −3/4
  6. Negative
  7. −6/7
  8. 2/9
  9. −1/2
  10. Positive
  11. −29/45
  12. 8/63
  13. −10/9
  14. −7/8
  15. 10/21
  16. 20/63
  17. −5/9
  18. −83/72
  19. Positive
  20. −2/3
  21. 3
  22. −5/6
  23. Positive
  24. −1/4
  25. −4/9
  26. −1/3
  27. −4/7
  28. −3/7
  29. −3/8
  30. Positive
  31. −1/2
  32. 7/8
  33. Positive
  34. Negative
  35. −2/3
  36. −5/9
  37. −11/12
  38. −1/6
  39. −7/6
  40. −1/8

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