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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 810 · 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.Write −4/20 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −4/20 (c) −5/1 (d) 1/5
  2. 2.What is (−1/9) + 6/7? (a) −47/63 (b) 5/16 (c) 47/63 (d) −61/63
  3. 3.What is (−1/2) − (−5/9)? (a) −1/18 (b) −19/18 (c) 1/18 (d) 4/11
  4. 4.Write −4/10 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −4/10 (c) 2/5 (d) −5/2
  5. 5.Write −12/20 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −5/3 (d) −12/20
  6. 6.What is the additive inverse of −5/7? (a) 5/7 (b) −5/7 (c) 7/5 (d) −7/5
  7. 7.What is (−5/8) + (−5/7)? (a) −2/3 (b) −75/56 (c) 75/56 (d) 5/56
  8. 8.Is −3/3 positive or negative? (a) Negative (b) Positive
  9. 9.What is 1/4 − (−4/9)? (a) −25/36 (b) 5/13 (c) −7/36 (d) 25/36
  10. 10.What is (−1/6) − 1/3? (a) −1/2 (b) −2/9 (c) 1/2 (d) 1/6
  11. 11.Write −12/28 in standard form (lowest terms, positive denominator). (a) −7/3 (b) −12/28 (c) 3/7 (d) −3/7
  12. 12.Is −9/5 positive or negative? (a) Negative (b) Positive
  13. 13.What is (−1/2) − (−5/6)? (a) 1/2 (b) −1/3 (c) 1/3 (d) −4/3
  14. 14.Which is bigger: −2/5 or 1/7? (a) −2/5 (b) 1/7
  15. 15.Which is bigger: −1/6 or −2/7? (a) −2/7 (b) −1/6
  16. 16.Which is bigger: −8/9 or 2/9? (a) −8/9 (b) 2/9
  17. 17.What is (−1/5) − (−7/8)? (a) −43/40 (b) 6/13 (c) −27/40 (d) 27/40
  18. 18.What is the additive inverse of 3/7? (a) −7/3 (b) −3/7 (c) 7/3 (d) 3/7
  19. 19.Is 5/6 positive or negative? (a) Positive (b) Negative
  20. 20.What is (−1/3) + 1/2? (a) −5/6 (b) 1/6 (c) 0 (d) −1/6
  21. 21.Which is smaller: −4/5 or −1/2? (a) −1/2 (b) −4/5
  22. 22.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) −1/7 (c) −7 (d) 7
  23. 23.What is (−2/5) − 1/2? (a) −9/10 (b) 1/10 (c) 9/10 (d) −3/7
  24. 24.Which is smaller: −1/4 or −5/8? (a) −1/4 (b) −5/8
  25. 25.What is (−1/2) − (−3/5)? (a) 1/10 (b) −11/10 (c) 2/7 (d) −1/10
  26. 26.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) 2/9 (d) −8/36
  27. 27.Write −42/54 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −9/7 (d) −42/54
  28. 28.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) 5/6 (d) −15/18
  29. 29.Is −1/3 positive or negative? (a) Positive (b) Negative
  30. 30.Write −10/15 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) −10/15 (d) 2/3
  31. 31.Is −3/7 positive or negative? (a) Negative (b) Positive
  32. 32.What is (−1/6) + (−6/7)? (a) −7/13 (b) 43/42 (c) 29/42 (d) −43/42
  33. 33.Is 4/7 positive or negative? (a) Positive (b) Negative
  34. 34.What is the reciprocal (multiplicative inverse) of 1/2? (a) 2 (b) −1/2 (c) 1/2 (d) −2
  35. 35.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  36. 36.Which is smaller: −3/8 or 4/9? (a) −3/8 (b) 4/9
  37. 37.Is 1/(−5) positive or negative? (a) Positive (b) Negative
  38. 38.What is 1/2 + (−3/5)? (a) −2/7 (b) 1/10 (c) 11/10 (d) −1/10
  39. 39.Which is smaller: −3/8 or 1/5? (a) 1/5 (b) −3/8
  40. 40.Write −9/15 in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −9/15 (d) −3/5

Answer key

  1. −1/5
  2. 47/63
  3. 1/18
  4. −2/5
  5. −3/5
  6. 5/7
  7. −75/56
  8. Negative
  9. 25/36
  10. −1/2
  11. −3/7
  12. Negative
  13. 1/3
  14. 1/7
  15. −1/6
  16. 2/9
  17. 27/40
  18. −3/7
  19. Positive
  20. 1/6
  21. −4/5
  22. 7
  23. −9/10
  24. −5/8
  25. 1/10
  26. −2/9
  27. −7/9
  28. −5/6
  29. Negative
  30. −2/3
  31. Negative
  32. −43/42
  33. Positive
  34. 2
  35. Positive
  36. −3/8
  37. Negative
  38. −1/10
  39. −3/8
  40. −3/5

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