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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 374 · 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 the additive inverse of −5/6? (a) 5/6 (b) −6/5 (c) 6/5 (d) −5/6
  2. 2.Is 2/7 positive or negative? (a) Negative (b) Positive
  3. 3.What is 1/3 − (−2/5)? (a) −1/15 (b) −11/15 (c) 3/8 (d) 11/15
  4. 4.What is (−1/9) + 1/4? (a) −13/36 (b) 0 (c) −5/36 (d) 5/36
  5. 5.Is 9/2 positive or negative? (a) Negative (b) Positive
  6. 6.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −5/2 (d) −4/10
  7. 7.Which is smaller: −3/5 or −5/8? (a) −5/8 (b) −3/5
  8. 8.Which is bigger: −5/9 or −4/9? (a) −5/9 (b) −4/9
  9. 9.What is the additive inverse of 3/7? (a) −3/7 (b) 7/3 (c) −7/3 (d) 3/7
  10. 10.Write −9/21 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −9/21 (c) −3/7 (d) −7/3
  11. 11.Is 8/5 positive or negative? (a) Positive (b) Negative
  12. 12.What is the reciprocal (multiplicative inverse) of 1/7? (a) 7 (b) −7 (c) −1/7 (d) 1/7
  13. 13.Write −21/24 in standard form (lowest terms, positive denominator). (a) −21/24 (b) −7/8 (c) −8/7 (d) 7/8
  14. 14.What is (−8/9) + 7/9? (a) −5/3 (b) −1/18 (c) −1/9 (d) 1/9
  15. 15.Which is bigger: −1/2 or −1/5? (a) −1/2 (b) −1/5
  16. 16.Is 1/7 positive or negative? (a) Negative (b) Positive
  17. 17.What is the reciprocal (multiplicative inverse) of −2/3? (a) 3/2 (b) −2/3 (c) −3/2 (d) 2/3
  18. 18.What is (−5/7) + (−3/7)? (a) 8/7 (b) −4/7 (c) −2/7 (d) −8/7
  19. 19.What is 3/5 + (−1/6)? (a) 13/30 (b) −13/30 (c) 2/11 (d) 23/30
  20. 20.What is 8/9 − (−1/2)? (a) 9/11 (b) −25/18 (c) 25/18 (d) 7/18
  21. 21.Is −4/8 positive or negative? (a) Positive (b) Negative
  22. 22.Is 6/(−5) positive or negative? (a) Positive (b) Negative
  23. 23.What is 3/4 + (−1/4)? (a) 1 (b) 1/2 (c) −1/2 (d) 1/4
  24. 24.What is (−5/8) + 1/5? (a) −4/13 (b) −17/40 (c) −33/40 (d) 17/40
  25. 25.Which is bigger: −2/5 or 5/7? (a) −2/5 (b) 5/7
  26. 26.Write −5/30 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) −5/30 (d) 1/6
  27. 27.Which is bigger: −5/8 or 2/5? (a) −5/8 (b) 2/5
  28. 28.What is 2/5 − (−1/5)? (a) 1/5 (b) −3/5 (c) 3/10 (d) 3/5
  29. 29.What is (−7/8) + (−1/9)? (a) −71/72 (b) −55/72 (c) −8/17 (d) 71/72
  30. 30.Which is bigger: −2/9 or 4/7? (a) −2/9 (b) 4/7
  31. 31.What is (−2/9) − (−3/8)? (a) 1/17 (b) −11/72 (c) 11/72 (d) −43/72
  32. 32.Is 6/9 positive or negative? (a) Negative (b) Positive
  33. 33.Write −4/20 in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −4/20 (d) −1/5
  34. 34.Is 8/2 positive or negative? (a) Negative (b) Positive
  35. 35.What is (−1/7) − (−5/8)? (a) 27/56 (b) −27/56 (c) −43/56 (d) 4/15
  36. 36.Which is bigger: −4/9 or 5/9? (a) −4/9 (b) 5/9
  37. 37.What is (−7/8) + (−4/5)? (a) −11/13 (b) −3/40 (c) 67/40 (d) −67/40
  38. 38.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) −42/54 (d) 7/9
  39. 39.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) 8/7 (c) −7/8 (d) −8/7
  40. 40.What is (−5/6) − (−3/5)? (a) −7/30 (b) −2/11 (c) 7/30 (d) −43/30

Answer key

  1. 5/6
  2. Positive
  3. 11/15
  4. 5/36
  5. Positive
  6. −2/5
  7. −5/8
  8. −4/9
  9. −3/7
  10. −3/7
  11. Positive
  12. 7
  13. −7/8
  14. −1/9
  15. −1/5
  16. Positive
  17. −3/2
  18. −8/7
  19. 13/30
  20. 25/18
  21. Negative
  22. Negative
  23. 1/2
  24. −17/40
  25. 5/7
  26. −1/6
  27. 2/5
  28. 3/5
  29. −71/72
  30. 4/7
  31. 11/72
  32. Positive
  33. −1/5
  34. Positive
  35. 27/56
  36. 5/9
  37. −67/40
  38. −7/9
  39. −8/7
  40. −7/30

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