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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 508 · 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 (−4/9) − 6/7? (a) −5/8 (b) 26/63 (c) −82/63 (d) 82/63
  2. 2.What is 1/8 − (−1/3)? (a) −5/24 (b) 11/24 (c) 2/11 (d) −11/24
  3. 3.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −5/9 (b) −15/27 (c) 5/9 (d) −9/5
  4. 4.Is −7/9 positive or negative? (a) Positive (b) Negative
  5. 5.Is −2/3 positive or negative? (a) Negative (b) Positive
  6. 6.Which is bigger: −6/7 or −2/5? (a) −6/7 (b) −2/5
  7. 7.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −1/6 (d) −6/36
  8. 8.Which is smaller: −2/7 or −1/7? (a) −1/7 (b) −2/7
  9. 9.What is (−7/9) + 1/7? (a) −40/63 (b) 40/63 (c) −3/8 (d) −58/63
  10. 10.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) −2 (c) 2 (d) 1/2
  11. 11.Which is bigger: −1/3 or 2/3? (a) 2/3 (b) −1/3
  12. 12.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) −2/9 (c) −9/2 (d) 9/2
  13. 13.What is 2/9 + (−2/5)? (a) 8/45 (b) −8/45 (c) 0 (d) 28/45
  14. 14.Which is smaller: −2/3 or 1/7? (a) −2/3 (b) 1/7
  15. 15.Write −20/28 in standard form (lowest terms, positive denominator). (a) −20/28 (b) −7/5 (c) 5/7 (d) −5/7
  16. 16.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) 3/7 (c) −3/7 (d) −7/3
  17. 17.Which is bigger: −2/3 or 1/9? (a) −2/3 (b) 1/9
  18. 18.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  19. 19.Which is smaller: −3/4 or 1/6? (a) 1/6 (b) −3/4
  20. 20.What is (−5/6) − (−2/3)? (a) −1/6 (b) −3/2 (c) −1/3 (d) 1/6
  21. 21.Is −6/(−7) positive or negative? (a) Positive (b) Negative
  22. 22.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  23. 23.What is 1/8 + (−1/3)? (a) −5/24 (b) 11/24 (c) 5/24 (d) 0
  24. 24.What is the reciprocal (multiplicative inverse) of −1/5? (a) −5 (b) 5 (c) −1/5 (d) 1/5
  25. 25.What is 4/5 + (−4/9)? (a) 16/45 (b) 56/45 (c) −16/45 (d) 0
  26. 26.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) −1/4 (c) 4 (d) 1/4
  27. 27.Is 2/2 positive or negative? (a) Positive (b) Negative
  28. 28.What is the additive inverse of 4/7? (a) 7/4 (b) 4/7 (c) −7/4 (d) −4/7
  29. 29.What is the reciprocal (multiplicative inverse) of 5/9? (a) −9/5 (b) 5/9 (c) −5/9 (d) 9/5
  30. 30.Which is bigger: −5/8 or 1/8? (a) 1/8 (b) −5/8
  31. 31.Which is bigger: −1/2 or 7/9? (a) −1/2 (b) 7/9
  32. 32.Is −3/8 positive or negative? (a) Positive (b) Negative
  33. 33.Write −12/27 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) 4/9 (d) −12/27
  34. 34.What is the additive inverse of 3/5? (a) −5/3 (b) 5/3 (c) 3/5 (d) −3/5
  35. 35.Which is bigger: −3/8 or 2/9? (a) 2/9 (b) −3/8
  36. 36.What is the additive inverse of −8/9? (a) −8/9 (b) 8/9 (c) −9/8 (d) 9/8
  37. 37.What is (−7/8) − (−1/5)? (a) 27/40 (b) −27/40 (c) −6/13 (d) −43/40
  38. 38.Write −21/27 in standard form (lowest terms, positive denominator). (a) −21/27 (b) 7/9 (c) −9/7 (d) −7/9
  39. 39.Is 4/(−6) positive or negative? (a) Negative (b) Positive
  40. 40.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) 8 (c) −1/8 (d) −8

Answer key

  1. −82/63
  2. 11/24
  3. −5/9
  4. Negative
  5. Negative
  6. −2/5
  7. −1/6
  8. −2/7
  9. −40/63
  10. 2
  11. 2/3
  12. 9/2
  13. −8/45
  14. −2/3
  15. −5/7
  16. −7/3
  17. 1/9
  18. Negative
  19. −3/4
  20. −1/6
  21. Positive
  22. 7
  23. −5/24
  24. −5
  25. 16/45
  26. 4
  27. Positive
  28. −4/7
  29. 9/5
  30. 1/8
  31. 7/9
  32. Negative
  33. −4/9
  34. −3/5
  35. 2/9
  36. 8/9
  37. −27/40
  38. −7/9
  39. Negative
  40. 8

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