← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 259 · 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 smaller: −1/9 or 3/8? (a) 3/8 (b) −1/9
  2. 2.Which is bigger: −3/7 or −7/8? (a) −3/7 (b) −7/8
  3. 3.Which is bigger: −5/6 or −3/7? (a) −5/6 (b) −3/7
  4. 4.What is (−3/5) + (−5/6)? (a) −43/30 (b) 43/30 (c) −8/11 (d) 7/30
  5. 5.Which is smaller: −3/5 or −2/9? (a) −3/5 (b) −2/9
  6. 6.What is the additive inverse of −5/8? (a) 8/5 (b) −5/8 (c) 5/8 (d) −8/5
  7. 7.Is 8/(−9) positive or negative? (a) Negative (b) Positive
  8. 8.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −8/12 (c) −3/2 (d) −2/3
  9. 9.What is the reciprocal (multiplicative inverse) of −1/4? (a) −1/4 (b) 1/4 (c) 4 (d) −4
  10. 10.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −9/1 (d) −2/18
  11. 11.Write −6/15 in standard form (lowest terms, positive denominator). (a) −6/15 (b) −5/2 (c) −2/5 (d) 2/5
  12. 12.Is 8/(−4) positive or negative? (a) Positive (b) Negative
  13. 13.Which is smaller: −1/7 or −5/7? (a) −5/7 (b) −1/7
  14. 14.What is (−1/8) − 4/9? (a) 41/72 (b) 23/72 (c) −5/17 (d) −41/72
  15. 15.Is 5/6 positive or negative? (a) Negative (b) Positive
  16. 16.What is the reciprocal (multiplicative inverse) of −5/9? (a) 5/9 (b) 9/5 (c) −5/9 (d) −9/5
  17. 17.What is the additive inverse of 5/9? (a) −5/9 (b) 9/5 (c) 5/9 (d) −9/5
  18. 18.Is −2/(−3) positive or negative? (a) Positive (b) Negative
  19. 19.Write −24/54 in standard form (lowest terms, positive denominator). (a) −24/54 (b) 4/9 (c) −4/9 (d) −9/4
  20. 20.What is the reciprocal (multiplicative inverse) of 1/6? (a) −6 (b) −1/6 (c) 1/6 (d) 6
  21. 21.What is the reciprocal (multiplicative inverse) of −1/5? (a) −5 (b) 1/5 (c) −1/5 (d) 5
  22. 22.What is 2/7 − (−2/3)? (a) 20/21 (b) 2/5 (c) −20/21 (d) −8/21
  23. 23.What is the additive inverse of 2/5? (a) −5/2 (b) 2/5 (c) −2/5 (d) 5/2
  24. 24.Is 6/3 positive or negative? (a) Negative (b) Positive
  25. 25.What is 3/7 − (−2/5)? (a) 5/12 (b) −29/35 (c) 29/35 (d) 1/35
  26. 26.Which is smaller: −5/6 or 1/3? (a) −5/6 (b) 1/3
  27. 27.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −8/28 (c) 2/7 (d) −7/2
  28. 28.What is (−2/9) − 4/5? (a) 26/45 (b) −3/7 (c) −46/45 (d) 46/45
  29. 29.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) 9/8 (c) −8/9 (d) 8/9
  30. 30.What is the additive inverse of −3/5? (a) −5/3 (b) −3/5 (c) 3/5 (d) 5/3
  31. 31.Is −6/5 positive or negative? (a) Negative (b) Positive
  32. 32.Is −2/4 positive or negative? (a) Negative (b) Positive
  33. 33.Which is bigger: −2/3 or 5/6? (a) −2/3 (b) 5/6
  34. 34.What is 2/7 + (−3/7)? (a) −1/14 (b) 1/7 (c) −1/7 (d) 5/7
  35. 35.Which is bigger: −2/5 or 1/3? (a) 1/3 (b) −2/5
  36. 36.Is 3/3 positive or negative? (a) Positive (b) Negative
  37. 37.What is the additive inverse of 4/5? (a) −5/4 (b) 5/4 (c) 4/5 (d) −4/5
  38. 38.Write −3/15 in standard form (lowest terms, positive denominator). (a) −3/15 (b) −5/1 (c) −1/5 (d) 1/5
  39. 39.What is (−1/3) − (−1/6)? (a) 0 (b) −1/2 (c) 1/6 (d) −1/6
  40. 40.Which is bigger: −3/5 or 5/6? (a) −3/5 (b) 5/6

Answer key

  1. −1/9
  2. −3/7
  3. −3/7
  4. −43/30
  5. −3/5
  6. 5/8
  7. Negative
  8. −2/3
  9. −4
  10. −1/9
  11. −2/5
  12. Negative
  13. −5/7
  14. −41/72
  15. Positive
  16. −9/5
  17. −5/9
  18. Positive
  19. −4/9
  20. 6
  21. −5
  22. 20/21
  23. −2/5
  24. Positive
  25. 29/35
  26. −5/6
  27. −2/7
  28. −46/45
  29. 9/8
  30. 3/5
  31. Negative
  32. Negative
  33. 5/6
  34. −1/7
  35. 1/3
  36. Positive
  37. −4/5
  38. −1/5
  39. −1/6
  40. 5/6

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