← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 98 · 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 7/6 positive or negative? (a) Positive (b) Negative
  2. 2.Is −4/(−5) positive or negative? (a) Positive (b) Negative
  3. 3.What is the additive inverse of 3/4? (a) −3/4 (b) −4/3 (c) 3/4 (d) 4/3
  4. 4.Which is bigger: −4/5 or −5/9? (a) −5/9 (b) −4/5
  5. 5.Which is smaller: −4/7 or −3/5? (a) −3/5 (b) −4/7
  6. 6.Which is bigger: −1/9 or 3/5? (a) −1/9 (b) 3/5
  7. 7.Is −3/(−2) positive or negative? (a) Positive (b) Negative
  8. 8.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  9. 9.What is (−1/4) + 4/7? (a) 3/11 (b) −23/28 (c) 9/28 (d) −9/28
  10. 10.What is (−2/3) + (−3/4)? (a) −5/7 (b) −17/12 (c) 1/12 (d) 17/12
  11. 11.Write −6/30 in standard form (lowest terms, positive denominator). (a) −6/30 (b) −5/1 (c) 1/5 (d) −1/5
  12. 12.What is the additive inverse of −4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  13. 13.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) −3/7 (c) 7/3 (d) −7/3
  14. 14.What is (−5/6) + (−4/7)? (a) −11/42 (b) −9/13 (c) −59/42 (d) 59/42
  15. 15.What is 8/9 − (−1/9)? (a) 7/9 (b) 1 (c) 1/2 (d) −1
  16. 16.What is (−4/5) − 1/5? (a) −3/5 (b) −1 (c) 1 (d) −1/2
  17. 17.Is −1/6 positive or negative? (a) Negative (b) Positive
  18. 18.What is 2/9 + (−2/3)? (a) 4/9 (b) −4/9 (c) 0 (d) 8/9
  19. 19.Is −4/(−4) positive or negative? (a) Positive (b) Negative
  20. 20.Write −4/10 in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −2/5 (d) −4/10
  21. 21.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) 3/2 (c) −3/2 (d) −2/3
  22. 22.Which is bigger: −1/2 or 8/9? (a) 8/9 (b) −1/2
  23. 23.What is the additive inverse of −7/9? (a) −9/7 (b) −7/9 (c) 9/7 (d) 7/9
  24. 24.Which is smaller: −1/6 or 8/9? (a) 8/9 (b) −1/6
  25. 25.What is the additive inverse of 7/9? (a) 9/7 (b) 7/9 (c) −7/9 (d) −9/7
  26. 26.What is the reciprocal (multiplicative inverse) of −1/2? (a) 2 (b) 1/2 (c) −1/2 (d) −2
  27. 27.Is −6/(−6) positive or negative? (a) Positive (b) Negative
  28. 28.What is (−1/4) − (−5/9)? (a) −29/36 (b) 4/13 (c) −11/36 (d) 11/36
  29. 29.Is 3/(−5) positive or negative? (a) Positive (b) Negative
  30. 30.Is −7/8 positive or negative? (a) Negative (b) Positive
  31. 31.Which is bigger: −5/6 or 4/7? (a) −5/6 (b) 4/7
  32. 32.What is 1/3 − (−7/8)? (a) 8/11 (b) −29/24 (c) −13/24 (d) 29/24
  33. 33.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −15/18 (c) −5/6 (d) 5/6
  34. 34.What is (−1/4) − (−4/7)? (a) 9/28 (b) −9/28 (c) 3/11 (d) −23/28
  35. 35.What is (−1/6) + 1/2? (a) 0 (b) −1/3 (c) −2/3 (d) 1/3
  36. 36.Write −28/32 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −28/32 (d) −7/8
  37. 37.What is the additive inverse of 1/8? (a) 1/8 (b) 8 (c) −8 (d) −1/8
  38. 38.What is 6/7 − (−2/3)? (a) −32/21 (b) 4/5 (c) 32/21 (d) 4/21
  39. 39.Is 8/6 positive or negative? (a) Positive (b) Negative
  40. 40.What is the additive inverse of −2/9? (a) −9/2 (b) −2/9 (c) 9/2 (d) 2/9

Answer key

  1. Positive
  2. Positive
  3. −3/4
  4. −5/9
  5. −3/5
  6. 3/5
  7. Positive
  8. Negative
  9. 9/28
  10. −17/12
  11. −1/5
  12. 4/5
  13. −7/3
  14. −59/42
  15. 1
  16. −1
  17. Negative
  18. −4/9
  19. Positive
  20. −2/5
  21. −3/2
  22. 8/9
  23. 7/9
  24. −1/6
  25. −7/9
  26. −2
  27. Positive
  28. 11/36
  29. Negative
  30. Negative
  31. 4/7
  32. 29/24
  33. −5/6
  34. 9/28
  35. 1/3
  36. −7/8
  37. −1/8
  38. 32/21
  39. Positive
  40. 2/9

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets