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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 327 · 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 reciprocal (multiplicative inverse) of 1/5? (a) −5 (b) 5 (c) 1/5 (d) −1/5
  2. 2.What is the additive inverse of −2/9? (a) 9/2 (b) −9/2 (c) 2/9 (d) −2/9
  3. 3.What is 5/8 − (−1/8)? (a) 3/4 (b) 3/8 (c) 1/2 (d) −3/4
  4. 4.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  5. 5.Write −10/45 in standard form (lowest terms, positive denominator). (a) −10/45 (b) 2/9 (c) −2/9 (d) −9/2
  6. 6.What is (−1/2) + 4/7? (a) −15/14 (b) 1/14 (c) −1/14 (d) 1/3
  7. 7.Is −7/(−7) positive or negative? (a) Positive (b) Negative
  8. 8.What is 8/9 + (−2/5)? (a) 3/7 (b) 22/45 (c) 58/45 (d) −22/45
  9. 9.What is (−1/2) − 1/7? (a) −9/14 (b) −5/14 (c) −2/9 (d) 9/14
  10. 10.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −24/27 (c) −9/8 (d) −8/9
  11. 11.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −5/15 (d) −1/3
  12. 12.What is the additive inverse of −2/7? (a) −2/7 (b) 7/2 (c) −7/2 (d) 2/7
  13. 13.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −6/7 (b) −24/28 (c) −7/6 (d) 6/7
  14. 14.What is (−5/7) + 4/5? (a) −53/35 (b) −1/12 (c) −3/35 (d) 3/35
  15. 15.Which is bigger: −6/7 or −1/5? (a) −1/5 (b) −6/7
  16. 16.Which is bigger: −2/3 or −1/3? (a) −1/3 (b) −2/3
  17. 17.What is (−7/9) − 1/5? (a) −4/7 (b) −26/45 (c) 44/45 (d) −44/45
  18. 18.What is (−4/9) − (−5/6)? (a) 1/15 (b) 7/18 (c) −23/18 (d) −7/18
  19. 19.What is (−5/7) + (−5/7)? (a) 0 (b) 10/7 (c) −5/7 (d) −10/7
  20. 20.Which is smaller: −3/7 or −1/6? (a) −3/7 (b) −1/6
  21. 21.Is −7/7 positive or negative? (a) Negative (b) Positive
  22. 22.What is the reciprocal (multiplicative inverse) of −1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  23. 23.What is 1/8 + (−5/7)? (a) −33/56 (b) −4/15 (c) 33/56 (d) 47/56
  24. 24.What is (−1/5) + 2/5? (a) 1/5 (b) 1/10 (c) −1/5 (d) −3/5
  25. 25.Write −5/10 in standard form (lowest terms, positive denominator). (a) −1/2 (b) 1/2 (c) −5/10 (d) −2/1
  26. 26.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −2/8 (c) 1/4 (d) −1/4
  27. 27.What is (−3/7) + 3/4? (a) −33/28 (b) −9/28 (c) 0 (d) 9/28
  28. 28.Write −24/54 in standard form (lowest terms, positive denominator). (a) −4/9 (b) −9/4 (c) 4/9 (d) −24/54
  29. 29.What is 1/5 − (−5/8)? (a) 33/40 (b) −17/40 (c) 6/13 (d) −33/40
  30. 30.What is (−1/5) − 5/9? (a) −3/7 (b) 34/45 (c) −34/45 (d) 16/45
  31. 31.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) −5/30 (d) 1/6
  32. 32.What is 1/9 − (−1/2)? (a) 2/11 (b) 11/18 (c) −7/18 (d) −11/18
  33. 33.What is (−1/5) − 1/5? (a) 0 (b) −1/5 (c) −2/5 (d) 2/5
  34. 34.Which is smaller: −3/5 or −5/6? (a) −5/6 (b) −3/5
  35. 35.Write −2/12 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −2/12 (c) −6/1 (d) −1/6
  36. 36.Which is smaller: −3/8 or −2/3? (a) −2/3 (b) −3/8
  37. 37.Which is smaller: −2/5 or −1/5? (a) −1/5 (b) −2/5
  38. 38.What is (−2/7) − 3/8? (a) 37/56 (b) −1/3 (c) −37/56 (d) 5/56
  39. 39.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −12/30 (b) −2/5 (c) 2/5 (d) −5/2
  40. 40.Which is bigger: −7/9 or 3/4? (a) −7/9 (b) 3/4

Answer key

  1. 5
  2. 2/9
  3. 3/4
  4. Positive
  5. −2/9
  6. 1/14
  7. Positive
  8. 22/45
  9. −9/14
  10. −8/9
  11. −1/3
  12. 2/7
  13. −6/7
  14. 3/35
  15. −1/5
  16. −1/3
  17. −44/45
  18. 7/18
  19. −10/7
  20. −3/7
  21. Negative
  22. −4
  23. −33/56
  24. 1/5
  25. −1/2
  26. −1/4
  27. 9/28
  28. −4/9
  29. 33/40
  30. −34/45
  31. −1/6
  32. 11/18
  33. −2/5
  34. −5/6
  35. −1/6
  36. −2/3
  37. −2/5
  38. −37/56
  39. −2/5
  40. 3/4

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