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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 394 · 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.Which is smaller: −3/7 or −5/7? (a) −5/7 (b) −3/7
  2. 2.Is 1/8 positive or negative? (a) Positive (b) Negative
  3. 3.What is the additive inverse of 3/5? (a) 5/3 (b) 3/5 (c) −3/5 (d) −5/3
  4. 4.What is the additive inverse of −2/5? (a) 2/5 (b) −2/5 (c) 5/2 (d) −5/2
  5. 5.Write −9/12 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −9/12
  6. 6.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −4/18 (d) −2/9
  7. 7.What is 4/5 − (−6/7)? (a) −2/35 (b) 5/6 (c) −58/35 (d) 58/35
  8. 8.Write −16/18 in standard form (lowest terms, positive denominator). (a) −16/18 (b) −8/9 (c) −9/8 (d) 8/9
  9. 9.What is the additive inverse of −3/5? (a) 5/3 (b) 3/5 (c) −3/5 (d) −5/3
  10. 10.Which is smaller: −5/6 or −1/5? (a) −5/6 (b) −1/5
  11. 11.What is (−5/6) − 5/9? (a) −5/18 (b) 25/18 (c) −2/3 (d) −25/18
  12. 12.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −15/18 (c) −5/6 (d) −6/5
  13. 13.What is (−5/9) + 1/3? (a) −1/3 (b) −2/9 (c) 2/9 (d) −8/9
  14. 14.What is the reciprocal (multiplicative inverse) of −7/9? (a) −9/7 (b) 9/7 (c) −7/9 (d) 7/9
  15. 15.Write −6/10 in standard form (lowest terms, positive denominator). (a) −6/10 (b) −3/5 (c) −5/3 (d) 3/5
  16. 16.What is (−4/7) − (−7/9)? (a) −13/63 (b) 13/63 (c) 3/16 (d) −85/63
  17. 17.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) −12/30 (d) 2/5
  18. 18.Which is bigger: −2/5 or 8/9? (a) 8/9 (b) −2/5
  19. 19.Is 8/2 positive or negative? (a) Negative (b) Positive
  20. 20.Is 9/(−5) positive or negative? (a) Negative (b) Positive
  21. 21.Is 2/4 positive or negative? (a) Positive (b) Negative
  22. 22.Which is bigger: −4/5 or −1/9? (a) −4/5 (b) −1/9
  23. 23.Write −5/35 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −5/35 (c) −1/7 (d) −7/1
  24. 24.What is 1/3 + (−1/6)? (a) 0 (b) −1/6 (c) 1/2 (d) 1/6
  25. 25.Is 6/(−4) positive or negative? (a) Negative (b) Positive
  26. 26.Which is smaller: −1/5 or −2/5? (a) −1/5 (b) −2/5
  27. 27.What is (−4/7) − (−1/2)? (a) −1/3 (b) −1/14 (c) 1/14 (d) −15/14
  28. 28.Write −6/24 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/1 (d) −6/24
  29. 29.Write −3/18 in standard form (lowest terms, positive denominator). (a) −3/18 (b) 1/6 (c) −1/6 (d) −6/1
  30. 30.Which is smaller: −1/9 or −1/5? (a) −1/9 (b) −1/5
  31. 31.Which is smaller: −3/5 or −1/9? (a) −3/5 (b) −1/9
  32. 32.What is the additive inverse of 1/9? (a) −9 (b) 9 (c) −1/9 (d) 1/9
  33. 33.Which is bigger: −4/7 or 2/3? (a) −4/7 (b) 2/3
  34. 34.What is (−7/9) + (−2/3)? (a) −1/9 (b) −3/4 (c) 13/9 (d) −13/9
  35. 35.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) −2 (c) 2 (d) 1/2
  36. 36.What is 1/2 − (−2/7)? (a) 3/14 (b) 11/14 (c) −11/14 (d) 1/3
  37. 37.Which is smaller: −1/3 or −1/4? (a) −1/3 (b) −1/4
  38. 38.Is −5/6 positive or negative? (a) Negative (b) Positive
  39. 39.What is the additive inverse of 2/3? (a) −3/2 (b) 2/3 (c) −2/3 (d) 3/2
  40. 40.Is 6/(−6) positive or negative? (a) Negative (b) Positive

Answer key

  1. −5/7
  2. Positive
  3. −3/5
  4. 2/5
  5. −3/4
  6. −2/9
  7. 58/35
  8. −8/9
  9. 3/5
  10. −5/6
  11. −25/18
  12. −5/6
  13. −2/9
  14. −9/7
  15. −3/5
  16. 13/63
  17. −2/5
  18. 8/9
  19. Positive
  20. Negative
  21. Positive
  22. −1/9
  23. −1/7
  24. 1/6
  25. Negative
  26. −2/5
  27. −1/14
  28. −1/4
  29. −1/6
  30. −1/5
  31. −3/5
  32. −1/9
  33. 2/3
  34. −13/9
  35. 2
  36. 11/14
  37. −1/3
  38. Negative
  39. −2/3
  40. Negative

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