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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 480 · 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 (−2/7) − (−3/7)? (a) 1/14 (b) −1/7 (c) −5/7 (d) 1/7
  2. 2.Which is smaller: −7/9 or −1/5? (a) −7/9 (b) −1/5
  3. 3.What is 5/9 − (−1/6)? (a) 7/18 (b) 13/18 (c) 2/5 (d) −13/18
  4. 4.What is (−2/9) + (−5/7)? (a) −7/16 (b) 59/63 (c) 31/63 (d) −59/63
  5. 5.What is the reciprocal (multiplicative inverse) of −4/9? (a) −4/9 (b) −9/4 (c) 9/4 (d) 4/9
  6. 6.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) 8/3 (c) −3/8 (d) 3/8
  7. 7.Is 3/5 positive or negative? (a) Positive (b) Negative
  8. 8.Is −2/(−3) positive or negative? (a) Positive (b) Negative
  9. 9.What is (−1/9) − 1/2? (a) −2/11 (b) −11/18 (c) 7/18 (d) 11/18
  10. 10.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) −3/18 (b) 1/6 (c) −1/6 (d) −6/1
  11. 11.Is −5/2 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−1/6) − 4/5? (a) −29/30 (b) 29/30 (c) −5/11 (d) 19/30
  13. 13.What is (−1/3) − 4/5? (a) 7/15 (b) 17/15 (c) −17/15 (d) −5/8
  14. 14.What is the additive inverse of 2/3? (a) 3/2 (b) 2/3 (c) −2/3 (d) −3/2
  15. 15.Is −6/9 positive or negative? (a) Positive (b) Negative
  16. 16.What is (−1/5) − 3/5? (a) 2/5 (b) −4/5 (c) −2/5 (d) 4/5
  17. 17.What is the additive inverse of 1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  18. 18.What is the reciprocal (multiplicative inverse) of −5/7? (a) −7/5 (b) 7/5 (c) −5/7 (d) 5/7
  19. 19.Which is smaller: −2/3 or −1/4? (a) −1/4 (b) −2/3
  20. 20.What is the additive inverse of −3/4? (a) 4/3 (b) −3/4 (c) 3/4 (d) −4/3
  21. 21.What is the reciprocal (multiplicative inverse) of −5/8? (a) 5/8 (b) −8/5 (c) 8/5 (d) −5/8
  22. 22.Is 5/(−4) positive or negative? (a) Positive (b) Negative
  23. 23.Is −7/9 positive or negative? (a) Positive (b) Negative
  24. 24.Write −10/35 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −10/35 (c) −7/2 (d) 2/7
  25. 25.Write −4/32 in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −4/32 (d) −1/8
  26. 26.What is (−7/9) − (−1/6)? (a) −17/18 (b) 11/18 (c) −11/18 (d) −2/5
  27. 27.What is (−7/8) + (−3/7)? (a) −25/56 (b) −73/56 (c) −2/3 (d) 73/56
  28. 28.Which is bigger: −1/8 or −1/4? (a) −1/8 (b) −1/4
  29. 29.What is (−7/8) + 4/9? (a) −95/72 (b) 31/72 (c) −31/72 (d) −3/17
  30. 30.Which is bigger: −1/8 or −3/7? (a) −3/7 (b) −1/8
  31. 31.Is 3/9 positive or negative? (a) Positive (b) Negative
  32. 32.Which is smaller: −3/8 or −8/9? (a) −3/8 (b) −8/9
  33. 33.Which is bigger: −1/6 or −3/7? (a) −3/7 (b) −1/6
  34. 34.Is 3/(−9) positive or negative? (a) Positive (b) Negative
  35. 35.Write −24/42 in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −4/7 (d) −24/42
  36. 36.Is 5/8 positive or negative? (a) Positive (b) Negative
  37. 37.What is (−3/5) + (−1/7)? (a) −26/35 (b) −1/3 (c) −16/35 (d) 26/35
  38. 38.Is −1/3 positive or negative? (a) Positive (b) Negative
  39. 39.What is 1/8 − (−1/4)? (a) 1/6 (b) −1/8 (c) 3/8 (d) −3/8
  40. 40.What is (−1/7) + 3/7? (a) −2/7 (b) 1/7 (c) −4/7 (d) 2/7

Answer key

  1. 1/7
  2. −7/9
  3. 13/18
  4. −59/63
  5. −9/4
  6. 8/3
  7. Positive
  8. Positive
  9. −11/18
  10. −1/6
  11. Negative
  12. −29/30
  13. −17/15
  14. −2/3
  15. Negative
  16. −4/5
  17. −1/4
  18. −7/5
  19. −2/3
  20. 3/4
  21. −8/5
  22. Negative
  23. Negative
  24. −2/7
  25. −1/8
  26. −11/18
  27. −73/56
  28. −1/8
  29. −31/72
  30. −1/8
  31. Positive
  32. −8/9
  33. −1/6
  34. Negative
  35. −4/7
  36. Positive
  37. −26/35
  38. Negative
  39. 3/8
  40. 2/7

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