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Class 7 Maths Worksheet: Rational Numbers

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

Answer key

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

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