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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 358 · 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.Is 8/(−3) positive or negative? (a) Positive (b) Negative
  2. 2.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) −10/12 (b) −5/6 (c) −6/5 (d) 5/6
  3. 3.What is the additive inverse of 2/9? (a) 2/9 (b) −9/2 (c) 9/2 (d) −2/9
  4. 4.Is −5/6 positive or negative? (a) Negative (b) Positive
  5. 5.What is (−4/9) − (−2/9)? (a) −2/9 (b) −2/3 (c) −1/9 (d) 2/9
  6. 6.What is (−3/5) − 1/7? (a) −1/3 (b) −26/35 (c) 26/35 (d) −16/35
  7. 7.What is the additive inverse of 1/3? (a) 3 (b) −1/3 (c) 1/3 (d) −3
  8. 8.Write −15/25 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −3/5 (d) −15/25
  9. 9.Write −48/54 in standard form (lowest terms, positive denominator). (a) −48/54 (b) −8/9 (c) 8/9 (d) −9/8
  10. 10.What is (−5/9) + 8/9? (a) −13/9 (b) 1/6 (c) 1/3 (d) −1/3
  11. 11.What is 7/9 − (−1/4)? (a) 19/36 (b) −37/36 (c) 8/13 (d) 37/36
  12. 12.What is 3/8 − (−5/7)? (a) −19/56 (b) 8/15 (c) −61/56 (d) 61/56
  13. 13.Which is smaller: −1/3 or 4/7? (a) −1/3 (b) 4/7
  14. 14.Which is smaller: −2/3 or −7/9? (a) −2/3 (b) −7/9
  15. 15.What is (−4/7) + (−1/2)? (a) −5/9 (b) −15/14 (c) 15/14 (d) −1/14
  16. 16.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) 4/3 (c) −4/3 (d) 3/4
  17. 17.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  18. 18.What is (−5/7) + (−1/5)? (a) −1/2 (b) −18/35 (c) −32/35 (d) 32/35
  19. 19.Write −20/32 in standard form (lowest terms, positive denominator). (a) −20/32 (b) −5/8 (c) 5/8 (d) −8/5
  20. 20.Which is bigger: −7/9 or 3/4? (a) −7/9 (b) 3/4
  21. 21.What is 1/2 − (−5/6)? (a) 4/3 (b) −4/3 (c) −1/3 (d) 3/4
  22. 22.What is (−3/5) + 1/7? (a) −1/6 (b) −16/35 (c) 16/35 (d) −26/35
  23. 23.Is −1/5 positive or negative? (a) Negative (b) Positive
  24. 24.Which is smaller: −5/6 or −2/3? (a) −5/6 (b) −2/3
  25. 25.Write −10/16 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −5/8 (c) −10/16 (d) 5/8
  26. 26.What is the additive inverse of 7/8? (a) −7/8 (b) 7/8 (c) −8/7 (d) 8/7
  27. 27.Which is smaller: −2/9 or −5/6? (a) −2/9 (b) −5/6
  28. 28.What is (−4/5) − 2/5? (a) −2/5 (b) −3/5 (c) −6/5 (d) 6/5
  29. 29.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) −7/2 (c) 7/2 (d) −2/7
  30. 30.Is 3/3 positive or negative? (a) Negative (b) Positive
  31. 31.Is 1/3 positive or negative? (a) Positive (b) Negative
  32. 32.Which is smaller: −6/7 or −3/7? (a) −3/7 (b) −6/7
  33. 33.Write −4/10 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −4/10 (c) 2/5 (d) −2/5
  34. 34.What is 7/9 + (−4/5)? (a) 3/14 (b) −1/45 (c) 71/45 (d) 1/45
  35. 35.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  36. 36.What is (−3/4) − 3/7? (a) 33/28 (b) −6/11 (c) −33/28 (d) −9/28
  37. 37.Write −12/15 in standard form (lowest terms, positive denominator). (a) −12/15 (b) 4/5 (c) −5/4 (d) −4/5
  38. 38.What is the additive inverse of −2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  39. 39.Which is smaller: −1/6 or −3/8? (a) −1/6 (b) −3/8
  40. 40.Which is bigger: −1/2 or 8/9? (a) −1/2 (b) 8/9

Answer key

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

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