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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 236 · 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.Which is bigger: −2/9 or 3/5? (a) −2/9 (b) 3/5
  2. 2.What is the reciprocal (multiplicative inverse) of −8/9? (a) 9/8 (b) −8/9 (c) 8/9 (d) −9/8
  3. 3.What is the reciprocal (multiplicative inverse) of −6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  4. 4.What is 1/5 − (−1/5)? (a) 0 (b) 2/5 (c) 1/5 (d) −2/5
  5. 5.What is 1/3 − (−4/7)? (a) −5/21 (b) 19/21 (c) 1/2 (d) −19/21
  6. 6.What is (−4/7) − (−5/7)? (a) 1/7 (b) −1/7 (c) 1/14 (d) −9/7
  7. 7.Which is bigger: −7/8 or 2/3? (a) −7/8 (b) 2/3
  8. 8.Which is smaller: −1/9 or 2/7? (a) −1/9 (b) 2/7
  9. 9.What is 4/9 + (−1/6)? (a) 11/18 (b) −5/18 (c) 5/18 (d) 1/5
  10. 10.Which is bigger: −2/5 or −1/3? (a) −2/5 (b) −1/3
  11. 11.What is the additive inverse of −3/4? (a) −3/4 (b) 4/3 (c) −4/3 (d) 3/4
  12. 12.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −15/25 (c) −5/3 (d) −3/5
  13. 13.What is (−5/6) − 1/3? (a) −1/2 (b) −2/3 (c) −7/6 (d) 7/6
  14. 14.What is the additive inverse of −7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8
  15. 15.What is (−1/7) − (−5/9)? (a) −26/63 (b) 26/63 (c) 1/4 (d) −44/63
  16. 16.Is 2/2 positive or negative? (a) Positive (b) Negative
  17. 17.Which is smaller: −3/4 or −3/8? (a) −3/8 (b) −3/4
  18. 18.Is −2/3 positive or negative? (a) Positive (b) Negative
  19. 19.Which is bigger: −1/4 or −1/6? (a) −1/6 (b) −1/4
  20. 20.Is 4/(−9) positive or negative? (a) Positive (b) Negative
  21. 21.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  22. 22.Write −5/20 in standard form (lowest terms, positive denominator). (a) −5/20 (b) −1/4 (c) 1/4 (d) −4/1
  23. 23.Write −30/35 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −30/35 (c) −6/7 (d) −7/6
  24. 24.Which is bigger: −1/5 or 2/7? (a) −1/5 (b) 2/7
  25. 25.Is −6/(−8) positive or negative? (a) Positive (b) Negative
  26. 26.Write −12/30 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −12/30 (c) 2/5 (d) −2/5
  27. 27.Write −6/15 in standard form (lowest terms, positive denominator). (a) −6/15 (b) −2/5 (c) −5/2 (d) 2/5
  28. 28.Is 9/2 positive or negative? (a) Positive (b) Negative
  29. 29.Which is bigger: −4/7 or −3/8? (a) −3/8 (b) −4/7
  30. 30.Which is bigger: −1/4 or −4/9? (a) −1/4 (b) −4/9
  31. 31.Which is bigger: −3/8 or 2/9? (a) −3/8 (b) 2/9
  32. 32.Is −6/7 positive or negative? (a) Negative (b) Positive
  33. 33.What is the reciprocal (multiplicative inverse) of 1/9? (a) 1/9 (b) 9 (c) −9 (d) −1/9
  34. 34.Which is smaller: −5/6 or −1/5? (a) −1/5 (b) −5/6
  35. 35.What is (−1/5) + 1/4? (a) 0 (b) −9/20 (c) −1/20 (d) 1/20
  36. 36.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −24/30 (c) 4/5 (d) −4/5
  37. 37.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −6/16 (c) 3/8 (d) −3/8
  38. 38.What is (−5/7) − (−6/7)? (a) 1/7 (b) −11/7 (c) 1/14 (d) −1/7
  39. 39.Write −15/27 in standard form (lowest terms, positive denominator). (a) −15/27 (b) −5/9 (c) 5/9 (d) −9/5
  40. 40.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −4/24 (b) −6/1 (c) −1/6 (d) 1/6

Answer key

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

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