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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 775 · 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 1/9? (a) 9 (b) 1/9 (c) −1/9 (d) −9
  2. 2.Which is smaller: −2/3 or −6/7? (a) −2/3 (b) −6/7
  3. 3.Which is smaller: −2/5 or 3/8? (a) 3/8 (b) −2/5
  4. 4.What is 3/4 + (−2/3)? (a) 1/12 (b) 1/7 (c) −1/12 (d) 17/12
  5. 5.What is the reciprocal (multiplicative inverse) of 6/7? (a) 6/7 (b) −6/7 (c) −7/6 (d) 7/6
  6. 6.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) 2/5 (c) −2/5 (d) −5/2
  7. 7.What is (−1/7) + 1/5? (a) −12/35 (b) 0 (c) 2/35 (d) −2/35
  8. 8.What is (−1/4) + (−1/8)? (a) −1/6 (b) −1/8 (c) 3/8 (d) −3/8
  9. 9.Write 48/(−54) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −48/54 (d) 8/9
  10. 10.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) 5/6 (d) −30/36
  11. 11.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −3/24 (c) −8/1 (d) 1/8
  12. 12.Write −25/45 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) 5/9 (d) −25/45
  13. 13.What is 5/8 + (−5/7)? (a) −5/56 (b) 75/56 (c) 0 (d) 5/56
  14. 14.Is −5/(−4) positive or negative? (a) Negative (b) Positive
  15. 15.Which is smaller: −8/9 or −1/3? (a) −8/9 (b) −1/3
  16. 16.What is the reciprocal (multiplicative inverse) of −1/6? (a) 6 (b) −6 (c) 1/6 (d) −1/6
  17. 17.Which is bigger: −3/4 or 5/9? (a) −3/4 (b) 5/9
  18. 18.Is −7/(−5) positive or negative? (a) Negative (b) Positive
  19. 19.Which is bigger: −1/5 or −1/7? (a) −1/7 (b) −1/5
  20. 20.What is (−1/4) − (−5/8)? (a) −3/8 (b) −7/8 (c) 3/8 (d) 1/3
  21. 21.Which is smaller: −1/9 or −1/3? (a) −1/3 (b) −1/9
  22. 22.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  23. 23.Which is smaller: −1/7 or −2/9? (a) −1/7 (b) −2/9
  24. 24.What is (−1/8) + (−1/6)? (a) 1/24 (b) −1/7 (c) −7/24 (d) 7/24
  25. 25.What is (−7/9) + (−6/7)? (a) −13/16 (b) 5/63 (c) −103/63 (d) 103/63
  26. 26.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 1/3 (c) 3 (d) −1/3
  27. 27.What is 7/9 + (−4/9)? (a) −1/3 (b) 1/3 (c) 1/6 (d) 11/9
  28. 28.Is −3/3 positive or negative? (a) Positive (b) Negative
  29. 29.What is (−4/5) − (−3/7)? (a) −43/35 (b) −13/35 (c) 13/35 (d) −1/12
  30. 30.Which is smaller: −2/3 or −7/8? (a) −7/8 (b) −2/3
  31. 31.What is the additive inverse of 7/9? (a) 9/7 (b) 7/9 (c) −9/7 (d) −7/9
  32. 32.Write −2/12 in standard form (lowest terms, positive denominator). (a) −2/12 (b) −1/6 (c) −6/1 (d) 1/6
  33. 33.Which is smaller: −1/2 or −1/6? (a) −1/6 (b) −1/2
  34. 34.Write −3/12 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −3/12 (d) 1/4
  35. 35.What is 2/7 − (−3/5)? (a) −31/35 (b) 5/12 (c) −11/35 (d) 31/35
  36. 36.What is (−1/2) − (−1/5)? (a) −3/10 (b) −7/10 (c) 0 (d) 3/10
  37. 37.Is −8/8 positive or negative? (a) Positive (b) Negative
  38. 38.What is (−1/2) − (−3/7)? (a) −1/14 (b) 1/14 (c) −13/14 (d) 2/9
  39. 39.Is 9/7 positive or negative? (a) Positive (b) Negative
  40. 40.Which is smaller: −6/7 or −1/9? (a) −1/9 (b) −6/7

Answer key

  1. −1/9
  2. −6/7
  3. −2/5
  4. 1/12
  5. 7/6
  6. −5/2
  7. 2/35
  8. −3/8
  9. −8/9
  10. −5/6
  11. −1/8
  12. −5/9
  13. −5/56
  14. Positive
  15. −8/9
  16. −6
  17. 5/9
  18. Positive
  19. −1/7
  20. 3/8
  21. −1/3
  22. −7/4
  23. −2/9
  24. −7/24
  25. −103/63
  26. 3
  27. 1/3
  28. Negative
  29. −13/35
  30. −7/8
  31. −7/9
  32. −1/6
  33. −1/2
  34. −1/4
  35. 31/35
  36. −3/10
  37. Negative
  38. −1/14
  39. Positive
  40. −6/7

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