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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 617 · 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 −2/9? (a) 2/9 (b) −2/9 (c) 9/2 (d) −9/2
  2. 2.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −12/28 (c) −7/3 (d) −3/7
  3. 3.What is (−5/7) − 1/2? (a) 17/14 (b) −3/14 (c) −2/3 (d) −17/14
  4. 4.What is (−4/5) − 4/5? (a) −4/5 (b) 0 (c) −8/5 (d) 8/5
  5. 5.Write −20/36 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) 5/9 (d) −20/36
  6. 6.Write 42/(−48) in standard form (lowest terms, positive denominator). (a) −42/48 (b) −7/8 (c) −8/7 (d) 7/8
  7. 7.What is the additive inverse of −2/5? (a) 5/2 (b) 2/5 (c) −2/5 (d) −5/2
  8. 8.What is the reciprocal (multiplicative inverse) of −4/5? (a) −4/5 (b) −5/4 (c) 5/4 (d) 4/5
  9. 9.Which is smaller: −1/2 or 1/8? (a) −1/2 (b) 1/8
  10. 10.What is (−2/5) − 1/3? (a) −1/15 (b) −11/15 (c) 11/15 (d) −3/8
  11. 11.Is 3/(−7) positive or negative? (a) Negative (b) Positive
  12. 12.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −6/48 (c) −8/1 (d) 1/8
  13. 13.Which is smaller: −1/7 or 2/5? (a) 2/5 (b) −1/7
  14. 14.What is (−1/7) − 1/7? (a) 2/7 (b) −1/7 (c) −2/7 (d) 0
  15. 15.What is (−2/3) + 3/4? (a) −17/12 (b) 1/7 (c) −1/12 (d) 1/12
  16. 16.Write −4/10 in standard form (lowest terms, positive denominator). (a) −4/10 (b) 2/5 (c) −2/5 (d) −5/2
  17. 17.Write 6/(−12) in standard form (lowest terms, positive denominator). (a) −1/2 (b) −6/12 (c) −2/1 (d) 1/2
  18. 18.What is (−2/3) + 6/7? (a) 2/5 (b) 4/21 (c) −32/21 (d) −4/21
  19. 19.What is (−1/2) + (−2/5)? (a) 9/10 (b) −3/7 (c) −1/10 (d) −9/10
  20. 20.What is (−3/8) + (−1/4)? (a) −1/3 (b) −5/8 (c) 5/8 (d) −1/8
  21. 21.What is the additive inverse of 6/7? (a) −7/6 (b) 7/6 (c) 6/7 (d) −6/7
  22. 22.What is (−2/5) − 7/8? (a) −51/40 (b) −9/13 (c) 19/40 (d) 51/40
  23. 23.What is the additive inverse of 3/8? (a) 3/8 (b) −3/8 (c) 8/3 (d) −8/3
  24. 24.What is the reciprocal (multiplicative inverse) of −1/9? (a) 1/9 (b) −1/9 (c) −9 (d) 9
  25. 25.Is −8/(−9) positive or negative? (a) Negative (b) Positive
  26. 26.What is (−1/6) − 7/8? (a) −25/24 (b) −4/7 (c) 17/24 (d) 25/24
  27. 27.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −28/32 (c) 7/8 (d) −7/8
  28. 28.Which is bigger: −3/4 or 1/8? (a) −3/4 (b) 1/8
  29. 29.What is (−1/9) + (−1/5)? (a) −14/45 (b) 4/45 (c) −1/7 (d) 14/45
  30. 30.Write 18/(−42) in standard form (lowest terms, positive denominator). (a) −3/7 (b) −7/3 (c) 3/7 (d) −18/42
  31. 31.Write −30/35 in standard form (lowest terms, positive denominator). (a) −30/35 (b) 6/7 (c) −6/7 (d) −7/6
  32. 32.Which is bigger: −1/2 or 4/5? (a) 4/5 (b) −1/2
  33. 33.What is 3/8 + (−5/7)? (a) −2/15 (b) 61/56 (c) −19/56 (d) 19/56
  34. 34.What is the reciprocal (multiplicative inverse) of 1/3? (a) 1/3 (b) −1/3 (c) −3 (d) 3
  35. 35.Is −7/4 positive or negative? (a) Positive (b) Negative
  36. 36.Is 2/5 positive or negative? (a) Negative (b) Positive
  37. 37.What is 5/7 − (−3/8)? (a) 8/15 (b) −61/56 (c) 19/56 (d) 61/56
  38. 38.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) 8 (c) −8 (d) −1/8
  39. 39.What is (−5/6) − (−1/3)? (a) −7/6 (b) −4/9 (c) −1/2 (d) 1/2
  40. 40.What is 2/7 − (−2/7)? (a) 2/7 (b) −4/7 (c) 0 (d) 4/7

Answer key

  1. 2/9
  2. −3/7
  3. −17/14
  4. −8/5
  5. −5/9
  6. −7/8
  7. 2/5
  8. −5/4
  9. −1/2
  10. −11/15
  11. Negative
  12. −1/8
  13. −1/7
  14. −2/7
  15. 1/12
  16. −2/5
  17. −1/2
  18. 4/21
  19. −9/10
  20. −5/8
  21. −6/7
  22. −51/40
  23. −3/8
  24. −9
  25. Positive
  26. −25/24
  27. −7/8
  28. 1/8
  29. −14/45
  30. −3/7
  31. −6/7
  32. 4/5
  33. −19/56
  34. 3
  35. Negative
  36. Positive
  37. 61/56
  38. 8
  39. −1/2
  40. 4/7

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