← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 438 · 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 (−1/7) − (−1/6)? (a) −1/42 (b) −13/42 (c) 1/42 (d) 0
  2. 2.What is the reciprocal (multiplicative inverse) of −4/5? (a) 4/5 (b) −4/5 (c) 5/4 (d) −5/4
  3. 3.Is 8/5 positive or negative? (a) Negative (b) Positive
  4. 4.What is (−2/7) + (−3/5)? (a) −5/12 (b) 31/35 (c) 11/35 (d) −31/35
  5. 5.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −15/18 (c) −6/5 (d) 5/6
  6. 6.Is 7/9 positive or negative? (a) Positive (b) Negative
  7. 7.What is (−1/5) + 7/9? (a) 26/45 (b) 3/7 (c) −44/45 (d) −26/45
  8. 8.Write −6/27 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −6/27 (c) −9/2 (d) −2/9
  9. 9.Which is smaller: −3/8 or −3/4? (a) −3/8 (b) −3/4
  10. 10.What is the additive inverse of 4/5? (a) 4/5 (b) −4/5 (c) −5/4 (d) 5/4
  11. 11.What is (−3/5) − 2/9? (a) −5/14 (b) −17/45 (c) −37/45 (d) 37/45
  12. 12.Is 1/6 positive or negative? (a) Negative (b) Positive
  13. 13.What is 2/5 − (−1/9)? (a) −23/45 (b) 3/14 (c) 23/45 (d) 13/45
  14. 14.Which is bigger: −1/4 or −3/4? (a) −3/4 (b) −1/4
  15. 15.What is (−4/9) + (−7/9)? (a) 11/9 (b) −11/9 (c) 1/3 (d) −11/18
  16. 16.What is (−1/2) − 2/3? (a) 7/6 (b) 1/6 (c) −3/5 (d) −7/6
  17. 17.What is the additive inverse of −2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  18. 18.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) 9/4 (c) −9/4 (d) −4/9
  19. 19.What is the additive inverse of −1/3? (a) −3 (b) 3 (c) 1/3 (d) −1/3
  20. 20.What is the reciprocal (multiplicative inverse) of 1/6? (a) 1/6 (b) 6 (c) −6 (d) −1/6
  21. 21.Which is bigger: −5/7 or 2/7? (a) 2/7 (b) −5/7
  22. 22.What is (−3/5) − 7/8? (a) 59/40 (b) 11/40 (c) −10/13 (d) −59/40
  23. 23.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −16/18 (b) 8/9 (c) −9/8 (d) −8/9
  24. 24.Which is smaller: −3/5 or −1/2? (a) −3/5 (b) −1/2
  25. 25.Which is smaller: −5/6 or −7/9? (a) −5/6 (b) −7/9
  26. 26.Is −1/7 positive or negative? (a) Positive (b) Negative
  27. 27.Which is smaller: −1/5 or 4/5? (a) −1/5 (b) 4/5
  28. 28.Is −2/2 positive or negative? (a) Positive (b) Negative
  29. 29.Is −1/2 positive or negative? (a) Positive (b) Negative
  30. 30.What is (−1/7) − 8/9? (a) 65/63 (b) 47/63 (c) −65/63 (d) −9/16
  31. 31.What is (−2/7) − 2/3? (a) 8/21 (b) −2/5 (c) 20/21 (d) −20/21
  32. 32.What is (−2/5) − (−2/7)? (a) −24/35 (b) −4/35 (c) 0 (d) 4/35
  33. 33.Is −8/6 positive or negative? (a) Positive (b) Negative
  34. 34.What is (−4/7) + (−4/9)? (a) −1/2 (b) −8/63 (c) −64/63 (d) 64/63
  35. 35.Which is smaller: −4/9 or 3/5? (a) −4/9 (b) 3/5
  36. 36.Write −10/14 in standard form (lowest terms, positive denominator). (a) −10/14 (b) −5/7 (c) 5/7 (d) −7/5
  37. 37.Which is smaller: −1/2 or 5/8? (a) −1/2 (b) 5/8
  38. 38.What is the additive inverse of 2/5? (a) 2/5 (b) 5/2 (c) −2/5 (d) −5/2
  39. 39.Which is smaller: −3/4 or 5/7? (a) 5/7 (b) −3/4
  40. 40.Which is bigger: −1/5 or −4/7? (a) −1/5 (b) −4/7

Answer key

  1. 1/42
  2. −5/4
  3. Positive
  4. −31/35
  5. −5/6
  6. Positive
  7. 26/45
  8. −2/9
  9. −3/4
  10. −4/5
  11. −37/45
  12. Positive
  13. 23/45
  14. −1/4
  15. −11/9
  16. −7/6
  17. 2/5
  18. −9/4
  19. 1/3
  20. 6
  21. 2/7
  22. −59/40
  23. −8/9
  24. −3/5
  25. −5/6
  26. Negative
  27. −1/5
  28. Negative
  29. Negative
  30. −65/63
  31. −20/21
  32. −4/35
  33. Negative
  34. −64/63
  35. −4/9
  36. −5/7
  37. −1/2
  38. −2/5
  39. −3/4
  40. −1/5

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