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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 372 · 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 (−2/3) − (−1/5)? (a) −1/8 (b) 7/15 (c) −13/15 (d) −7/15
  2. 2.Write −8/36 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −8/36 (c) −2/9 (d) 2/9
  3. 3.Which is smaller: −1/6 or −1/8? (a) −1/6 (b) −1/8
  4. 4.What is the reciprocal (multiplicative inverse) of −3/7? (a) −7/3 (b) 3/7 (c) 7/3 (d) −3/7
  5. 5.Is 1/(−3) positive or negative? (a) Positive (b) Negative
  6. 6.What is (−4/9) − (−1/3)? (a) −7/9 (b) −1/9 (c) −1/4 (d) 1/9
  7. 7.What is (−2/7) + 5/7? (a) 3/14 (b) 3/7 (c) −1 (d) −3/7
  8. 8.Write −8/20 in standard form (lowest terms, positive denominator). (a) −8/20 (b) −2/5 (c) −5/2 (d) 2/5
  9. 9.Write −30/35 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −30/35
  10. 10.Which is bigger: −2/3 or −2/5? (a) −2/5 (b) −2/3
  11. 11.Write −15/18 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) −15/18 (d) 5/6
  12. 12.Is 7/(−3) positive or negative? (a) Negative (b) Positive
  13. 13.Which is smaller: −3/5 or 7/8? (a) −3/5 (b) 7/8
  14. 14.Write −20/36 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) −20/36 (d) 5/9
  15. 15.What is (−1/4) + (−2/7)? (a) −15/28 (b) 1/28 (c) 15/28 (d) −3/11
  16. 16.What is the additive inverse of 1/9? (a) −1/9 (b) 9 (c) −9 (d) 1/9
  17. 17.Which is bigger: −2/7 or 1/4? (a) 1/4 (b) −2/7
  18. 18.Which is bigger: −5/7 or −2/5? (a) −2/5 (b) −5/7
  19. 19.What is (−7/9) + (−4/9)? (a) −1/3 (b) 11/9 (c) −11/9 (d) −11/18
  20. 20.What is the reciprocal (multiplicative inverse) of −5/9? (a) 5/9 (b) −5/9 (c) 9/5 (d) −9/5
  21. 21.What is the additive inverse of 5/8? (a) 5/8 (b) −8/5 (c) −5/8 (d) 8/5
  22. 22.What is (−6/7) + (−7/9)? (a) 103/63 (b) −103/63 (c) −5/63 (d) −13/16
  23. 23.What is (−1/4) + 5/8? (a) −3/8 (b) −7/8 (c) 1/3 (d) 3/8
  24. 24.What is the additive inverse of 4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  25. 25.What is (−3/7) + (−3/7)? (a) −6/7 (b) 0 (c) 6/7 (d) −3/7
  26. 26.What is the additive inverse of 2/3? (a) −3/2 (b) −2/3 (c) 2/3 (d) 3/2
  27. 27.Write 15/(−40) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −15/40 (c) −8/3 (d) 3/8
  28. 28.Is 3/7 positive or negative? (a) Negative (b) Positive
  29. 29.Is −6/(−6) positive or negative? (a) Negative (b) Positive
  30. 30.Which is smaller: −4/5 or −1/5? (a) −4/5 (b) −1/5
  31. 31.What is 1/9 − (−1/2)? (a) 11/18 (b) 2/11 (c) −11/18 (d) −7/18
  32. 32.Is −3/4 positive or negative? (a) Positive (b) Negative
  33. 33.What is 4/5 − (−7/8)? (a) −67/40 (b) 11/13 (c) −3/40 (d) 67/40
  34. 34.Is 7/3 positive or negative? (a) Negative (b) Positive
  35. 35.What is 5/8 − (−1/3)? (a) 23/24 (b) −23/24 (c) 6/11 (d) 7/24
  36. 36.Is 1/(−8) positive or negative? (a) Positive (b) Negative
  37. 37.What is (−3/8) − 7/8? (a) 1/2 (b) 5/4 (c) −5/4 (d) −5/8
  38. 38.What is (−3/7) + 1/4? (a) −19/28 (b) 5/28 (c) −2/11 (d) −5/28
  39. 39.What is (−2/5) − (−3/7)? (a) 1/35 (b) −1/35 (c) −29/35 (d) 1/12
  40. 40.What is 1/5 − (−1/9)? (a) −14/45 (b) 4/45 (c) 14/45 (d) 1/7

Answer key

  1. −7/15
  2. −2/9
  3. −1/6
  4. −7/3
  5. Negative
  6. −1/9
  7. 3/7
  8. −2/5
  9. −6/7
  10. −2/5
  11. −5/6
  12. Negative
  13. −3/5
  14. −5/9
  15. −15/28
  16. −1/9
  17. 1/4
  18. −2/5
  19. −11/9
  20. −9/5
  21. −5/8
  22. −103/63
  23. 3/8
  24. −4/5
  25. −6/7
  26. −2/3
  27. −3/8
  28. Positive
  29. Positive
  30. −4/5
  31. 11/18
  32. Negative
  33. 67/40
  34. Positive
  35. 23/24
  36. Negative
  37. −5/4
  38. −5/28
  39. 1/35
  40. 14/45

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