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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 340 · 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.Which is bigger: −5/6 or −7/8? (a) −5/6 (b) −7/8
  2. 2.Is −3/5 positive or negative? (a) Negative (b) Positive
  3. 3.What is 1/6 + (−1/3)? (a) 0 (b) 1/6 (c) −1/6 (d) 1/2
  4. 4.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) 9/2 (c) −9/2 (d) −2/9
  5. 5.What is 1/6 + (−2/3)? (a) 5/6 (b) 1/2 (c) −1/2 (d) −1/9
  6. 6.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) −8/7 (c) 8/7 (d) −7/8
  7. 7.Which is bigger: −3/8 or −5/7? (a) −3/8 (b) −5/7
  8. 8.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −2/18 (b) −9/1 (c) −1/9 (d) 1/9
  9. 9.What is the additive inverse of −4/9? (a) 9/4 (b) −9/4 (c) 4/9 (d) −4/9
  10. 10.Which is smaller: −3/8 or −3/4? (a) −3/8 (b) −3/4
  11. 11.What is 2/9 + (−1/9)? (a) 1/3 (b) 1/18 (c) 1/9 (d) −1/9
  12. 12.What is the additive inverse of −5/8? (a) 8/5 (b) 5/8 (c) −5/8 (d) −8/5
  13. 13.Which is smaller: −1/7 or −1/8? (a) −1/7 (b) −1/8
  14. 14.What is (−5/6) − 3/7? (a) −17/42 (b) 53/42 (c) −8/13 (d) −53/42
  15. 15.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  16. 16.What is the additive inverse of 1/4? (a) −4 (b) 1/4 (c) −1/4 (d) 4
  17. 17.What is the reciprocal (multiplicative inverse) of 5/9? (a) −9/5 (b) −5/9 (c) 5/9 (d) 9/5
  18. 18.What is (−4/5) − (−2/5)? (a) −2/5 (b) −1/5 (c) −6/5 (d) 2/5
  19. 19.What is (−7/9) − (−3/4)? (a) −1/36 (b) −4/13 (c) 1/36 (d) −55/36
  20. 20.What is (−1/2) − 3/8? (a) −7/8 (b) 7/8 (c) −2/5 (d) −1/8
  21. 21.What is (−7/8) + 5/7? (a) 9/56 (b) −89/56 (c) −9/56 (d) −2/15
  22. 22.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) −5 (c) −1/5 (d) 5
  23. 23.What is the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) −8 (c) 8 (d) 1/8
  24. 24.What is (−2/5) + 5/7? (a) 1/4 (b) 11/35 (c) −39/35 (d) −11/35
  25. 25.Which is smaller: −8/9 or 2/9? (a) −8/9 (b) 2/9
  26. 26.Is −1/(−9) positive or negative? (a) Positive (b) Negative
  27. 27.What is (−7/9) − (−3/5)? (a) −2/7 (b) 8/45 (c) −62/45 (d) −8/45
  28. 28.Which is smaller: −3/5 or −5/9? (a) −3/5 (b) −5/9
  29. 29.What is (−3/5) + (−5/8)? (a) 49/40 (b) −49/40 (c) 1/40 (d) −8/13
  30. 30.What is the additive inverse of 5/9? (a) −9/5 (b) 9/5 (c) −5/9 (d) 5/9
  31. 31.Which is bigger: −1/3 or 2/7? (a) 2/7 (b) −1/3
  32. 32.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −14/18 (d) −7/9
  33. 33.What is the reciprocal (multiplicative inverse) of −4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  34. 34.Is 8/5 positive or negative? (a) Positive (b) Negative
  35. 35.What is the reciprocal (multiplicative inverse) of −1/8? (a) −8 (b) 8 (c) 1/8 (d) −1/8
  36. 36.What is the additive inverse of −1/8? (a) −8 (b) 8 (c) −1/8 (d) 1/8
  37. 37.Is −6/2 positive or negative? (a) Positive (b) Negative
  38. 38.What is (−8/9) + (−2/5)? (a) −5/7 (b) −22/45 (c) 58/45 (d) −58/45
  39. 39.What is (−1/7) − 1/8? (a) −15/56 (b) −2/15 (c) 15/56 (d) −1/56
  40. 40.Is −9/7 positive or negative? (a) Negative (b) Positive

Answer key

  1. −5/6
  2. Negative
  3. −1/6
  4. 9/2
  5. −1/2
  6. 8/7
  7. −3/8
  8. −1/9
  9. 4/9
  10. −3/4
  11. 1/9
  12. 5/8
  13. −1/7
  14. −53/42
  15. 4
  16. −1/4
  17. 9/5
  18. −2/5
  19. −1/36
  20. −7/8
  21. −9/56
  22. 5
  23. 8
  24. 11/35
  25. −8/9
  26. Positive
  27. −8/45
  28. −3/5
  29. −49/40
  30. −5/9
  31. 2/7
  32. −7/9
  33. −9/4
  34. Positive
  35. −8
  36. 1/8
  37. Negative
  38. −58/45
  39. −15/56
  40. Negative

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