← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 876 · 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 −1/9 positive or negative? (a) Negative (b) Positive
  2. 2.What is (−5/7) − (−2/7)? (a) 3/7 (b) −3/7 (c) −3/14 (d) −1
  3. 3.Which is bigger: −2/7 or −8/9? (a) −8/9 (b) −2/7
  4. 4.What is (−2/9) − (−1/2)? (a) −5/18 (b) −1/11 (c) −13/18 (d) 5/18
  5. 5.Is −9/(−7) positive or negative? (a) Negative (b) Positive
  6. 6.What is (−3/5) + 4/5? (a) 1/10 (b) 1/5 (c) −7/5 (d) −1/5
  7. 7.Which is smaller: −4/9 or −1/8? (a) −1/8 (b) −4/9
  8. 8.Is 3/7 positive or negative? (a) Negative (b) Positive
  9. 9.Write −30/35 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −30/35 (c) 6/7 (d) −6/7
  10. 10.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −1/7 (c) 1/7 (d) −5/35
  11. 11.What is 5/9 − (−5/9)? (a) −10/9 (b) 5/9 (c) 10/9 (d) 0
  12. 12.What is (−2/3) + (−5/6)? (a) −3/2 (b) 3/2 (c) −7/9 (d) 1/6
  13. 13.What is (−4/7) + (−8/9)? (a) −3/4 (b) 20/63 (c) −92/63 (d) 92/63
  14. 14.What is the reciprocal (multiplicative inverse) of −7/9? (a) −7/9 (b) −9/7 (c) 9/7 (d) 7/9
  15. 15.What is (−1/4) + 5/6? (a) 2/5 (b) −7/12 (c) 7/12 (d) −13/12
  16. 16.What is (−3/4) + (−1/3)? (a) −5/12 (b) −4/7 (c) 13/12 (d) −13/12
  17. 17.What is (−1/9) + 5/7? (a) 1/4 (b) −38/63 (c) −52/63 (d) 38/63
  18. 18.What is 3/5 + (−3/8)? (a) −9/40 (b) 0 (c) 9/40 (d) 39/40
  19. 19.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −15/25 (c) −5/3 (d) −3/5
  20. 20.Is 2/6 positive or negative? (a) Negative (b) Positive
  21. 21.Is 4/5 positive or negative? (a) Positive (b) Negative
  22. 22.Which is smaller: −3/5 or −2/7? (a) −3/5 (b) −2/7
  23. 23.What is (−5/6) − 5/9? (a) −5/18 (b) −2/3 (c) −25/18 (d) 25/18
  24. 24.What is (−1/6) + 6/7? (a) −29/42 (b) −43/42 (c) 29/42 (d) 5/13
  25. 25.What is (−2/7) + (−2/7)? (a) 4/7 (b) −2/7 (c) −4/7 (d) 0
  26. 26.What is the reciprocal (multiplicative inverse) of 3/8? (a) 3/8 (b) −8/3 (c) 8/3 (d) −3/8
  27. 27.Is 4/(−4) positive or negative? (a) Negative (b) Positive
  28. 28.Is 2/(−3) positive or negative? (a) Positive (b) Negative
  29. 29.Which is bigger: −4/7 or −1/6? (a) −4/7 (b) −1/6
  30. 30.Which is smaller: −5/9 or 7/8? (a) −5/9 (b) 7/8
  31. 31.What is the additive inverse of −1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  32. 32.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) −8 (c) −1/8 (d) 8
  33. 33.Is 6/2 positive or negative? (a) Negative (b) Positive
  34. 34.What is (−5/7) − (−6/7)? (a) −11/7 (b) 1/14 (c) −1/7 (d) 1/7
  35. 35.What is (−2/3) + 7/9? (a) 5/12 (b) 1/9 (c) −1/9 (d) −13/9
  36. 36.Which is bigger: −2/9 or −2/7? (a) −2/9 (b) −2/7
  37. 37.Which is bigger: −4/9 or −7/9? (a) −4/9 (b) −7/9
  38. 38.What is 1/4 + (−7/8)? (a) 5/8 (b) −1/2 (c) 9/8 (d) −5/8
  39. 39.What is 1/8 − (−4/7)? (a) −39/56 (b) −25/56 (c) 39/56 (d) 1/3
  40. 40.What is (−1/3) + 4/9? (a) 1/4 (b) −1/9 (c) −7/9 (d) 1/9

Answer key

  1. Negative
  2. −3/7
  3. −2/7
  4. 5/18
  5. Positive
  6. 1/5
  7. −4/9
  8. Positive
  9. −6/7
  10. −1/7
  11. 10/9
  12. −3/2
  13. −92/63
  14. −9/7
  15. 7/12
  16. −13/12
  17. 38/63
  18. 9/40
  19. −3/5
  20. Positive
  21. Positive
  22. −3/5
  23. −25/18
  24. 29/42
  25. −4/7
  26. 8/3
  27. Negative
  28. Negative
  29. −1/6
  30. −5/9
  31. 1/4
  32. 8
  33. Positive
  34. 1/7
  35. 1/9
  36. −2/9
  37. −4/9
  38. −5/8
  39. 39/56
  40. 1/9

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