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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 542 · 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 5/6 + (−1/9)? (a) 13/18 (b) 17/18 (c) 4/15 (d) −13/18
  2. 2.What is 2/7 + (−2/7)? (a) 0 (b) 4/7
  3. 3.What is the additive inverse of 2/7? (a) 7/2 (b) −2/7 (c) 2/7 (d) −7/2
  4. 4.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −4/3 (d) −12/16
  5. 5.What is (−1/4) + (−1/5)? (a) −1/20 (b) −2/9 (c) 9/20 (d) −9/20
  6. 6.What is (−3/5) + 5/8? (a) 1/40 (b) 2/13 (c) −1/40 (d) −49/40
  7. 7.Is 4/4 positive or negative? (a) Positive (b) Negative
  8. 8.Write −30/48 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −8/5 (d) −30/48
  9. 9.What is (−1/3) − (−4/9)? (a) 1/9 (b) 1/4 (c) −7/9 (d) −1/9
  10. 10.What is (−1/2) + (−2/5)? (a) 9/10 (b) −1/10 (c) −9/10 (d) −3/7
  11. 11.Is 3/9 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−7/8) + 5/7? (a) 9/56 (b) −2/15 (c) −89/56 (d) −9/56
  13. 13.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −7/1 (d) −4/28
  14. 14.Which is bigger: −3/5 or −1/8? (a) −1/8 (b) −3/5
  15. 15.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) −24/30 (d) 4/5
  16. 16.Which is bigger: −4/9 or 2/7? (a) −4/9 (b) 2/7
  17. 17.Which is smaller: −1/4 or −1/5? (a) −1/5 (b) −1/4
  18. 18.What is 3/7 − (−4/5)? (a) 43/35 (b) −13/35 (c) 7/12 (d) −43/35
  19. 19.Which is bigger: −5/6 or 2/7? (a) −5/6 (b) 2/7
  20. 20.Which is bigger: −4/9 or −1/9? (a) −1/9 (b) −4/9
  21. 21.What is (−3/5) − (−8/9)? (a) 13/45 (b) −13/45 (c) 5/14 (d) −67/45
  22. 22.What is (−4/7) − (−5/6)? (a) 1/13 (b) 11/42 (c) −11/42 (d) −59/42
  23. 23.What is (−3/5) − 3/4? (a) −27/20 (b) −2/3 (c) 3/20 (d) 27/20
  24. 24.What is (−4/9) − 1/2? (a) −17/18 (b) 1/18 (c) −5/11 (d) 17/18
  25. 25.Is 2/5 positive or negative? (a) Positive (b) Negative
  26. 26.What is (−3/7) + (−2/5)? (a) −29/35 (b) −1/35 (c) 29/35 (d) −5/12
  27. 27.Is 6/3 positive or negative? (a) Positive (b) Negative
  28. 28.What is 1/4 + (−3/7)? (a) −5/28 (b) −2/11 (c) 19/28 (d) 5/28
  29. 29.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) −5/2 (c) 5/2 (d) 2/5
  30. 30.Is −2/3 positive or negative? (a) Positive (b) Negative
  31. 31.What is the additive inverse of 1/6? (a) −1/6 (b) −6 (c) 6 (d) 1/6
  32. 32.What is (−3/5) + 1/2? (a) 1/10 (b) −1/10 (c) −11/10 (d) −2/7
  33. 33.Is −2/(−4) positive or negative? (a) Negative (b) Positive
  34. 34.What is (−8/9) − 1/9? (a) 1 (b) −1 (c) −1/2 (d) −7/9
  35. 35.Which is bigger: −1/7 or −1/6? (a) −1/7 (b) −1/6
  36. 36.What is the reciprocal (multiplicative inverse) of −8/9? (a) 9/8 (b) −9/8 (c) 8/9 (d) −8/9
  37. 37.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −3/18 (d) −1/6
  38. 38.Which is smaller: −1/5 or 7/8? (a) 7/8 (b) −1/5
  39. 39.What is 1/7 + (−5/7)? (a) 4/7 (b) −4/7 (c) 6/7 (d) −2/7
  40. 40.Is −9/8 positive or negative? (a) Positive (b) Negative

Answer key

  1. 13/18
  2. 0
  3. −2/7
  4. −3/4
  5. −9/20
  6. 1/40
  7. Positive
  8. −5/8
  9. 1/9
  10. −9/10
  11. Positive
  12. −9/56
  13. −1/7
  14. −1/8
  15. −4/5
  16. 2/7
  17. −1/4
  18. 43/35
  19. 2/7
  20. −1/9
  21. 13/45
  22. 11/42
  23. −27/20
  24. −17/18
  25. Positive
  26. −29/35
  27. Positive
  28. −5/28
  29. 5/2
  30. Negative
  31. −1/6
  32. −1/10
  33. Positive
  34. −1
  35. −1/7
  36. −9/8
  37. −1/6
  38. −1/5
  39. −4/7
  40. Negative

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