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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 46 · 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: −1/4 or −4/9? (a) −1/4 (b) −4/9
  2. 2.What is the reciprocal (multiplicative inverse) of 2/9? (a) −9/2 (b) −2/9 (c) 2/9 (d) 9/2
  3. 3.Write −15/20 in standard form (lowest terms, positive denominator). (a) −15/20 (b) −3/4 (c) 3/4 (d) −4/3
  4. 4.Which is bigger: −4/9 or −4/7? (a) −4/7 (b) −4/9
  5. 5.What is (−3/5) − (−3/4)? (a) −27/20 (b) 3/20 (c) −3/20 (d) 0
  6. 6.Is 2/2 positive or negative? (a) Positive (b) Negative
  7. 7.What is (−4/5) − (−3/5)? (a) −1/10 (b) −7/5 (c) −1/5 (d) 1/5
  8. 8.What is 2/5 + (−3/7)? (a) −1/12 (b) 1/35 (c) 29/35 (d) −1/35
  9. 9.What is the reciprocal (multiplicative inverse) of −8/9? (a) −9/8 (b) −8/9 (c) 8/9 (d) 9/8
  10. 10.Write −30/42 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −30/42 (c) −7/5 (d) −5/7
  11. 11.What is the additive inverse of −5/6? (a) 5/6 (b) −6/5 (c) −5/6 (d) 6/5
  12. 12.What is 1/8 + (−1/5)? (a) 0 (b) 13/40 (c) −3/40 (d) 3/40
  13. 13.What is (−5/9) + 5/9? (a) 0 (b) −10/9
  14. 14.Write −12/30 in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −2/5 (d) −12/30
  15. 15.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −6/48 (c) −1/8 (d) −8/1
  16. 16.Which is bigger: −4/9 or 1/4? (a) −4/9 (b) 1/4
  17. 17.Is 8/(−3) positive or negative? (a) Negative (b) Positive
  18. 18.Is 3/(−6) positive or negative? (a) Positive (b) Negative
  19. 19.What is (−1/9) + 1/2? (a) −11/18 (b) 7/18 (c) 0 (d) −7/18
  20. 20.Is 1/(−3) positive or negative? (a) Positive (b) Negative
  21. 21.What is (−6/7) + 2/3? (a) 4/21 (b) −4/21 (c) −32/21 (d) −2/5
  22. 22.Is 5/4 positive or negative? (a) Positive (b) Negative
  23. 23.What is (−3/5) + 1/5? (a) 2/5 (b) −2/5 (c) −4/5 (d) −1/5
  24. 24.Which is smaller: −7/9 or 1/4? (a) −7/9 (b) 1/4
  25. 25.What is the additive inverse of −1/5? (a) 5 (b) −1/5 (c) −5 (d) 1/5
  26. 26.Which is smaller: −1/7 or −1/3? (a) −1/7 (b) −1/3
  27. 27.Which is bigger: −5/7 or −4/5? (a) −4/5 (b) −5/7
  28. 28.What is the additive inverse of 2/7? (a) 2/7 (b) −2/7 (c) 7/2 (d) −7/2
  29. 29.What is (−2/5) − (−4/5)? (a) 1/5 (b) −2/5 (c) 2/5 (d) −6/5
  30. 30.What is the additive inverse of 3/4? (a) 3/4 (b) −4/3 (c) 4/3 (d) −3/4
  31. 31.Which is bigger: −6/7 or −4/7? (a) −6/7 (b) −4/7
  32. 32.Write −42/54 in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) −42/54 (d) 7/9
  33. 33.What is the additive inverse of −1/3? (a) −3 (b) 3 (c) −1/3 (d) 1/3
  34. 34.What is (−7/9) − 1/4? (a) −19/36 (b) 37/36 (c) −8/13 (d) −37/36
  35. 35.What is (−1/5) + 1/2? (a) 0 (b) −3/10 (c) 3/10 (d) −7/10
  36. 36.Is −2/4 positive or negative? (a) Negative (b) Positive
  37. 37.Which is smaller: −1/5 or 6/7? (a) 6/7 (b) −1/5
  38. 38.What is (−2/3) − 1/7? (a) −11/21 (b) 17/21 (c) −3/10 (d) −17/21
  39. 39.Which is smaller: −3/7 or −5/9? (a) −3/7 (b) −5/9
  40. 40.Which is bigger: −5/9 or 3/8? (a) −5/9 (b) 3/8

Answer key

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

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