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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 960 · 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 5/9? (a) −9/5 (b) 5/9 (c) −5/9 (d) 9/5
  2. 2.What is the reciprocal (multiplicative inverse) of −1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  3. 3.What is 2/7 + (−5/6)? (a) 23/42 (b) 47/42 (c) −3/13 (d) −23/42
  4. 4.Is −1/4 positive or negative? (a) Positive (b) Negative
  5. 5.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −3/15 (c) −1/5 (d) −5/1
  6. 6.What is (−1/7) + 1/3? (a) −4/21 (b) −10/21 (c) 4/21 (d) 0
  7. 7.Write −4/20 in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −4/20 (d) −1/5
  8. 8.What is (−3/4) − (−4/9)? (a) 11/36 (b) −43/36 (c) 1/13 (d) −11/36
  9. 9.Is 9/(−5) positive or negative? (a) Positive (b) Negative
  10. 10.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −6/54 (b) −9/1 (c) −1/9 (d) 1/9
  11. 11.Which is smaller: −1/2 or 8/9? (a) 8/9 (b) −1/2
  12. 12.Which is smaller: −2/9 or −8/9? (a) −8/9 (b) −2/9
  13. 13.Is 1/3 positive or negative? (a) Positive (b) Negative
  14. 14.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) −4 (c) 1/4 (d) 4
  15. 15.What is the additive inverse of −4/7? (a) −7/4 (b) 4/7 (c) −4/7 (d) 7/4
  16. 16.Which is smaller: −3/4 or −2/3? (a) −3/4 (b) −2/3
  17. 17.What is (−1/3) − 1/5? (a) −2/15 (b) 8/15 (c) −1/4 (d) −8/15
  18. 18.What is the additive inverse of 5/7? (a) −7/5 (b) −5/7 (c) 5/7 (d) 7/5
  19. 19.What is (−6/7) − 5/9? (a) −11/16 (b) 89/63 (c) −89/63 (d) −19/63
  20. 20.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −7/5 (b) 5/7 (c) −5/7 (d) −15/21
  21. 21.Is −6/9 positive or negative? (a) Negative (b) Positive
  22. 22.What is (−1/5) + 1/6? (a) −1/30 (b) −11/30 (c) 0 (d) 1/30
  23. 23.Which is bigger: −1/6 or −3/8? (a) −1/6 (b) −3/8
  24. 24.What is (−1/3) + 8/9? (a) 7/12 (b) 5/9 (c) −11/9 (d) −5/9
  25. 25.What is (−5/7) − 4/9? (a) −17/63 (b) −73/63 (c) 73/63 (d) −9/16
  26. 26.What is (−2/9) − 3/5? (a) −37/45 (b) 37/45 (c) 17/45 (d) −5/14
  27. 27.Is −7/(−4) positive or negative? (a) Positive (b) Negative
  28. 28.Write −12/28 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −12/28 (c) −7/3 (d) 3/7
  29. 29.Is 8/7 positive or negative? (a) Negative (b) Positive
  30. 30.Which is bigger: −3/4 or 1/5? (a) −3/4 (b) 1/5
  31. 31.What is (−2/5) + (−4/7)? (a) −34/35 (b) 6/35 (c) −1/2 (d) 34/35
  32. 32.What is the reciprocal (multiplicative inverse) of −1/5? (a) −1/5 (b) 5 (c) 1/5 (d) −5
  33. 33.Is −6/2 positive or negative? (a) Positive (b) Negative
  34. 34.Write −2/14 in standard form (lowest terms, positive denominator). (a) −2/14 (b) −1/7 (c) −7/1 (d) 1/7
  35. 35.Which is bigger: −4/9 or 1/6? (a) 1/6 (b) −4/9
  36. 36.Which is smaller: −6/7 or 5/8? (a) 5/8 (b) −6/7
  37. 37.Is 2/4 positive or negative? (a) Positive (b) Negative
  38. 38.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) −9/8 (c) −8/9 (d) 8/9
  39. 39.What is the reciprocal (multiplicative inverse) of 5/9? (a) −9/5 (b) 5/9 (c) −5/9 (d) 9/5
  40. 40.What is the additive inverse of −1/3? (a) 1/3 (b) −3 (c) 3 (d) −1/3

Answer key

  1. −5/9
  2. −2
  3. −23/42
  4. Negative
  5. −1/5
  6. 4/21
  7. −1/5
  8. −11/36
  9. Negative
  10. −1/9
  11. −1/2
  12. −8/9
  13. Positive
  14. 4
  15. 4/7
  16. −3/4
  17. −8/15
  18. −5/7
  19. −89/63
  20. −5/7
  21. Negative
  22. −1/30
  23. −1/6
  24. 5/9
  25. −73/63
  26. −37/45
  27. Positive
  28. −3/7
  29. Positive
  30. 1/5
  31. −34/35
  32. −5
  33. Negative
  34. −1/7
  35. 1/6
  36. −6/7
  37. Positive
  38. 9/8
  39. 9/5
  40. 1/3

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