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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 613 · 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 the additive inverse of 1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3
  2. 2.What is (−1/3) − 4/9? (a) 7/9 (b) −5/12 (c) −7/9 (d) 1/9
  3. 3.What is (−2/5) − (−5/9)? (a) −7/45 (b) 3/14 (c) −43/45 (d) 7/45
  4. 4.Which is bigger: −1/3 or 1/2? (a) 1/2 (b) −1/3
  5. 5.Which is smaller: −3/4 or 3/5? (a) 3/5 (b) −3/4
  6. 6.What is (−3/4) − (−7/9)? (a) −1/36 (b) 1/36 (c) −55/36 (d) 4/13
  7. 7.What is (−2/5) − (−2/3)? (a) 0 (b) 4/15 (c) −4/15 (d) −16/15
  8. 8.What is (−1/3) + 4/9? (a) −1/9 (b) −7/9 (c) 1/4 (d) 1/9
  9. 9.What is (−7/8) + 4/5? (a) −67/40 (b) −3/40 (c) −3/13 (d) 3/40
  10. 10.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −15/25 (d) −5/3
  11. 11.What is (−8/9) + (−3/8)? (a) −91/72 (b) 91/72 (c) −11/17 (d) −37/72
  12. 12.Is −5/2 positive or negative? (a) Positive (b) Negative
  13. 13.What is (−1/8) + 8/9? (a) −55/72 (b) 55/72 (c) −73/72 (d) 7/17
  14. 14.What is 1/9 + (−3/8)? (a) 35/72 (b) −2/17 (c) −19/72 (d) 19/72
  15. 15.Write −6/14 in standard form (lowest terms, positive denominator). (a) −7/3 (b) −6/14 (c) −3/7 (d) 3/7
  16. 16.Is 6/(−4) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−4/7) + 1/9? (a) −29/63 (b) −43/63 (c) −3/16 (d) 29/63
  18. 18.Is 5/(−4) positive or negative? (a) Positive (b) Negative
  19. 19.What is (−1/9) + (−2/7)? (a) 11/63 (b) −3/16 (c) −25/63 (d) 25/63
  20. 20.What is the reciprocal (multiplicative inverse) of −5/7? (a) −7/5 (b) 5/7 (c) 7/5 (d) −5/7
  21. 21.Which is bigger: −5/6 or −5/9? (a) −5/9 (b) −5/6
  22. 22.What is (−1/4) − 2/9? (a) −17/36 (b) −1/36 (c) −3/13 (d) 17/36
  23. 23.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) −5/8 (c) −8/5 (d) 8/5
  24. 24.Which is smaller: −6/7 or −1/6? (a) −6/7 (b) −1/6
  25. 25.What is (−1/7) + (−5/6)? (a) 41/42 (b) 29/42 (c) −6/13 (d) −41/42
  26. 26.Is 3/5 positive or negative? (a) Negative (b) Positive
  27. 27.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −4/18 (b) 2/9 (c) −2/9 (d) −9/2
  28. 28.Is 7/(−5) positive or negative? (a) Positive (b) Negative
  29. 29.Which is bigger: −3/4 or −8/9? (a) −8/9 (b) −3/4
  30. 30.What is the reciprocal (multiplicative inverse) of −4/5? (a) −5/4 (b) 5/4 (c) 4/5 (d) −4/5
  31. 31.What is (−1/5) − 3/5? (a) 2/5 (b) 4/5 (c) −4/5 (d) −2/5
  32. 32.What is the additive inverse of 2/7? (a) 7/2 (b) 2/7 (c) −2/7 (d) −7/2
  33. 33.Is −1/(−3) positive or negative? (a) Negative (b) Positive
  34. 34.What is 3/5 − (−8/9)? (a) 11/14 (b) 67/45 (c) −67/45 (d) −13/45
  35. 35.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −6/9 (c) 2/3 (d) −3/2
  36. 36.What is (−3/7) − 2/5? (a) −29/35 (b) −5/12 (c) −1/35 (d) 29/35
  37. 37.Is 8/(−2) positive or negative? (a) Negative (b) Positive
  38. 38.Which is bigger: −3/4 or 1/7? (a) 1/7 (b) −3/4
  39. 39.What is 2/9 + (−1/3)? (a) 5/9 (b) 1/9 (c) 1/12 (d) −1/9
  40. 40.What is (−2/5) + 3/8? (a) −31/40 (b) −1/40 (c) 1/13 (d) 1/40

Answer key

  1. −1/3
  2. −7/9
  3. 7/45
  4. 1/2
  5. −3/4
  6. 1/36
  7. 4/15
  8. 1/9
  9. −3/40
  10. −3/5
  11. −91/72
  12. Negative
  13. 55/72
  14. −19/72
  15. −3/7
  16. Negative
  17. −29/63
  18. Negative
  19. −25/63
  20. −7/5
  21. −5/9
  22. −17/36
  23. 8/5
  24. −6/7
  25. −41/42
  26. Positive
  27. −2/9
  28. Negative
  29. −3/4
  30. −5/4
  31. −4/5
  32. −2/7
  33. Positive
  34. 67/45
  35. −2/3
  36. −29/35
  37. Negative
  38. 1/7
  39. −1/9
  40. −1/40

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