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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 179 · 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.Is −2/5 positive or negative? (a) Positive (b) Negative
  2. 2.What is (−5/6) + 4/7? (a) −11/42 (b) −59/42 (c) −1/13 (d) 11/42
  3. 3.Is 3/6 positive or negative? (a) Positive (b) Negative
  4. 4.Write −4/10 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −4/10 (d) −2/5
  5. 5.Which is bigger: −5/8 or 1/3? (a) −5/8 (b) 1/3
  6. 6.Is 1/(−3) positive or negative? (a) Negative (b) Positive
  7. 7.Which is bigger: −3/7 or −5/9? (a) −3/7 (b) −5/9
  8. 8.What is (−8/9) − (−2/5)? (a) −3/7 (b) −58/45 (c) −22/45 (d) 22/45
  9. 9.Which is bigger: −2/3 or 3/7? (a) −2/3 (b) 3/7
  10. 10.What is (−3/5) + (−1/5)? (a) −4/5 (b) 4/5 (c) −2/5
  11. 11.Is −8/(−6) positive or negative? (a) Positive (b) Negative
  12. 12.Which is smaller: −1/8 or −4/9? (a) −4/9 (b) −1/8
  13. 13.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −15/27 (c) 5/9 (d) −5/9
  14. 14.What is (−3/7) + 1/9? (a) 20/63 (b) −1/8 (c) −34/63 (d) −20/63
  15. 15.Write −3/24 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −3/24 (c) 1/8 (d) −1/8
  16. 16.Which is smaller: −1/5 or 2/7? (a) 2/7 (b) −1/5
  17. 17.What is (−5/7) + 5/7? (a) −10/7 (b) 0
  18. 18.What is (−3/5) + 6/7? (a) 9/35 (b) 1/4 (c) −51/35 (d) −9/35
  19. 19.Which is bigger: −2/9 or 3/4? (a) 3/4 (b) −2/9
  20. 20.Which is bigger: −7/9 or −3/5? (a) −7/9 (b) −3/5
  21. 21.Which is smaller: −6/7 or 5/7? (a) 5/7 (b) −6/7
  22. 22.What is (−4/9) − 3/7? (a) −7/16 (b) 55/63 (c) −1/63 (d) −55/63
  23. 23.Which is bigger: −3/8 or 4/7? (a) −3/8 (b) 4/7
  24. 24.Is −1/(−5) positive or negative? (a) Positive (b) Negative
  25. 25.Which is smaller: −7/8 or −3/5? (a) −3/5 (b) −7/8
  26. 26.What is (−7/9) + (−4/7)? (a) −13/63 (b) 85/63 (c) −11/16 (d) −85/63
  27. 27.Write −42/48 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −42/48 (c) −7/8 (d) −8/7
  28. 28.What is (−6/7) − 1/3? (a) 25/21 (b) −25/21 (c) −11/21 (d) −7/10
  29. 29.Is −2/3 positive or negative? (a) Positive (b) Negative
  30. 30.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −4/9 (b) 4/9 (c) −8/18 (d) −9/4
  31. 31.Which is smaller: −3/8 or −1/6? (a) −1/6 (b) −3/8
  32. 32.What is the additive inverse of 2/5? (a) 5/2 (b) 2/5 (c) −2/5 (d) −5/2
  33. 33.Which is bigger: −2/3 or −1/7? (a) −1/7 (b) −2/3
  34. 34.What is the reciprocal (multiplicative inverse) of 3/8? (a) −3/8 (b) 8/3 (c) −8/3 (d) 3/8
  35. 35.What is 3/5 − (−2/9)? (a) 17/45 (b) 5/14 (c) −37/45 (d) 37/45
  36. 36.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) −1/3 (c) −3 (d) 3
  37. 37.Write −18/42 in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −3/7 (d) −18/42
  38. 38.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −4/6 (c) 2/3 (d) −2/3
  39. 39.What is 1/2 + (−1/3)? (a) −1/6 (b) 0 (c) 5/6 (d) 1/6
  40. 40.What is (−4/5) − (−1/5)? (a) 3/5 (b) −3/5 (c) −3/10 (d) −1

Answer key

  1. Negative
  2. −11/42
  3. Positive
  4. −2/5
  5. 1/3
  6. Negative
  7. −3/7
  8. −22/45
  9. 3/7
  10. −4/5
  11. Positive
  12. −4/9
  13. −5/9
  14. −20/63
  15. −1/8
  16. −1/5
  17. 0
  18. 9/35
  19. 3/4
  20. −3/5
  21. −6/7
  22. −55/63
  23. 4/7
  24. Positive
  25. −7/8
  26. −85/63
  27. −7/8
  28. −25/21
  29. Negative
  30. −4/9
  31. −3/8
  32. −2/5
  33. −1/7
  34. 8/3
  35. 37/45
  36. −3
  37. −3/7
  38. −2/3
  39. 1/6
  40. −3/5

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