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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 485 · 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 (−1/9) − 5/9? (a) 2/3 (b) −1/3 (c) −2/3 (d) 4/9
  2. 2.Which is bigger: −4/7 or −1/3? (a) −4/7 (b) −1/3
  3. 3.Is 6/(−7) positive or negative? (a) Positive (b) Negative
  4. 4.What is the additive inverse of −1/3? (a) −3 (b) 1/3 (c) −1/3 (d) 3
  5. 5.Which is smaller: −1/8 or 1/4? (a) 1/4 (b) −1/8
  6. 6.What is the reciprocal (multiplicative inverse) of −4/7? (a) −7/4 (b) −4/7 (c) 7/4 (d) 4/7
  7. 7.Write −4/18 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −9/2 (d) −4/18
  8. 8.Is 1/(−9) positive or negative? (a) Negative (b) Positive
  9. 9.Is −6/(−2) positive or negative? (a) Negative (b) Positive
  10. 10.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) −21/27 (b) −7/9 (c) −9/7 (d) 7/9
  11. 11.Write −30/54 in standard form (lowest terms, positive denominator). (a) −30/54 (b) −5/9 (c) −9/5 (d) 5/9
  12. 12.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −2/18 (c) 1/9 (d) −1/9
  13. 13.What is (−5/6) − 6/7? (a) 71/42 (b) −71/42 (c) 1/42 (d) −11/13
  14. 14.What is 1/9 + (−3/4)? (a) −23/36 (b) 31/36 (c) −2/13 (d) 23/36
  15. 15.Which is bigger: −1/3 or 5/6? (a) 5/6 (b) −1/3
  16. 16.What is (−1/6) + (−7/8)? (a) −4/7 (b) 17/24 (c) −25/24 (d) 25/24
  17. 17.Is 9/7 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−1/2) − (−5/8)? (a) −9/8 (b) −1/8 (c) 2/5 (d) 1/8
  19. 19.Is −4/(−7) positive or negative? (a) Negative (b) Positive
  20. 20.Is −8/8 positive or negative? (a) Negative (b) Positive
  21. 21.Which is bigger: −5/6 or 1/5? (a) 1/5 (b) −5/6
  22. 22.What is 1/2 + (−2/5)? (a) −1/7 (b) −1/10 (c) 9/10 (d) 1/10
  23. 23.Is −2/9 positive or negative? (a) Positive (b) Negative
  24. 24.Is 7/6 positive or negative? (a) Positive (b) Negative
  25. 25.What is 1/2 + (−1/9)? (a) −7/18 (b) 11/18 (c) 0 (d) 7/18
  26. 26.What is 1/5 − (−1/7)? (a) 2/35 (b) 1/6 (c) 12/35 (d) −12/35
  27. 27.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  28. 28.Which is bigger: −2/5 or −1/7? (a) −1/7 (b) −2/5
  29. 29.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −2/6 (d) −3/1
  30. 30.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −30/35 (d) −6/7
  31. 31.What is the additive inverse of 1/4? (a) 4 (b) 1/4 (c) −1/4 (d) −4
  32. 32.Write −6/10 in standard form (lowest terms, positive denominator). (a) −6/10 (b) −3/5 (c) −5/3 (d) 3/5
  33. 33.Which is bigger: −6/7 or 1/3? (a) −6/7 (b) 1/3
  34. 34.What is 5/8 − (−3/5)? (a) 8/13 (b) 1/40 (c) −49/40 (d) 49/40
  35. 35.Which is bigger: −1/5 or −5/9? (a) −5/9 (b) −1/5
  36. 36.Which is bigger: −2/9 or 3/8? (a) 3/8 (b) −2/9
  37. 37.Which is smaller: −2/5 or −1/4? (a) −2/5 (b) −1/4
  38. 38.What is (−3/4) + 1/6? (a) −11/12 (b) 7/12 (c) −1/5 (d) −7/12
  39. 39.Which is bigger: −1/2 or 5/8? (a) 5/8 (b) −1/2
  40. 40.Write −2/16 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −2/16 (c) −1/8 (d) 1/8

Answer key

  1. −2/3
  2. −1/3
  3. Negative
  4. 1/3
  5. −1/8
  6. −7/4
  7. −2/9
  8. Negative
  9. Positive
  10. −7/9
  11. −5/9
  12. −1/9
  13. −71/42
  14. −23/36
  15. 5/6
  16. −25/24
  17. Positive
  18. 1/8
  19. Positive
  20. Negative
  21. 1/5
  22. 1/10
  23. Negative
  24. Positive
  25. 7/18
  26. 12/35
  27. −3
  28. −1/7
  29. −1/3
  30. −6/7
  31. −1/4
  32. −3/5
  33. 1/3
  34. 49/40
  35. −1/5
  36. 3/8
  37. −2/5
  38. −7/12
  39. 5/8
  40. −1/8

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