← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 198 · 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 (−3/4) + 2/9? (a) 19/36 (b) −1/13 (c) −35/36 (d) −19/36
  2. 2.Is −1/7 positive or negative? (a) Positive (b) Negative
  3. 3.What is (−8/9) + 2/9? (a) −1/3 (b) 2/3 (c) −10/9 (d) −2/3
  4. 4.Is −2/3 positive or negative? (a) Positive (b) Negative
  5. 5.What is (−1/9) + 4/9? (a) 1/6 (b) −5/9 (c) 1/3 (d) −1/3
  6. 6.What is the additive inverse of 2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  7. 7.Is −4/(−7) positive or negative? (a) Positive (b) Negative
  8. 8.Which is smaller: −3/5 or −3/8? (a) −3/8 (b) −3/5
  9. 9.Which is bigger: −1/2 or −2/3? (a) −1/2 (b) −2/3
  10. 10.Write −4/10 in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −4/10 (d) −5/2
  11. 11.Write −30/36 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) 5/6 (d) −30/36
  12. 12.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) 3/7 (c) −7/3 (d) −3/7
  13. 13.Is 6/(−6) positive or negative? (a) Positive (b) Negative
  14. 14.Is −3/(−5) positive or negative? (a) Negative (b) Positive
  15. 15.What is (−7/8) + 1/9? (a) −6/17 (b) 55/72 (c) −55/72 (d) −71/72
  16. 16.What is (−1/8) − 4/7? (a) −1/3 (b) 25/56 (c) 39/56 (d) −39/56
  17. 17.What is the additive inverse of 1/5? (a) −5 (b) −1/5 (c) 1/5 (d) 5
  18. 18.Which is smaller: −1/2 or 3/8? (a) −1/2 (b) 3/8
  19. 19.Is 1/2 positive or negative? (a) Negative (b) Positive
  20. 20.What is (−2/9) − 3/7? (a) 13/63 (b) 41/63 (c) −41/63 (d) −5/16
  21. 21.What is the additive inverse of −1/9? (a) −9 (b) 9 (c) −1/9 (d) 1/9
  22. 22.Is 4/(−2) positive or negative? (a) Negative (b) Positive
  23. 23.Is −1/(−6) positive or negative? (a) Negative (b) Positive
  24. 24.What is (−5/6) − 1/3? (a) −1/2 (b) 7/6 (c) −2/3 (d) −7/6
  25. 25.What is (−2/5) + (−1/2)? (a) −9/10 (b) 9/10 (c) −3/7 (d) 1/10
  26. 26.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −10/16 (c) 5/8 (d) −8/5
  27. 27.What is (−2/3) + (−1/8)? (a) 19/24 (b) −19/24 (c) −13/24 (d) −3/11
  28. 28.What is 2/7 − (−1/7)? (a) 1/7 (b) −3/7 (c) 3/14 (d) 3/7
  29. 29.Write −10/12 in standard form (lowest terms, positive denominator). (a) −10/12 (b) −6/5 (c) −5/6 (d) 5/6
  30. 30.Write −3/6 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) −3/6 (d) 1/2
  31. 31.What is the reciprocal (multiplicative inverse) of −5/8? (a) 5/8 (b) −5/8 (c) 8/5 (d) −8/5
  32. 32.Which is bigger: −2/3 or 2/9? (a) −2/3 (b) 2/9
  33. 33.Which is smaller: −3/5 or −5/6? (a) −5/6 (b) −3/5
  34. 34.Which is smaller: −6/7 or −2/3? (a) −2/3 (b) −6/7
  35. 35.Which is bigger: −1/7 or −3/4? (a) −1/7 (b) −3/4
  36. 36.Which is bigger: −1/6 or −1/9? (a) −1/6 (b) −1/9
  37. 37.What is (−1/8) − 1/6? (a) −1/7 (b) 7/24 (c) 1/24 (d) −7/24
  38. 38.Is −2/7 positive or negative? (a) Negative (b) Positive
  39. 39.Which is smaller: −3/5 or 1/2? (a) 1/2 (b) −3/5
  40. 40.What is (−4/7) + 4/7? (a) −8/7 (b) 0

Answer key

  1. −19/36
  2. Negative
  3. −2/3
  4. Negative
  5. 1/3
  6. −2/5
  7. Positive
  8. −3/5
  9. −1/2
  10. −2/5
  11. −5/6
  12. −7/3
  13. Negative
  14. Positive
  15. −55/72
  16. −39/56
  17. −1/5
  18. −1/2
  19. Positive
  20. −41/63
  21. 1/9
  22. Negative
  23. Positive
  24. −7/6
  25. −9/10
  26. −5/8
  27. −19/24
  28. 3/7
  29. −5/6
  30. −1/2
  31. −8/5
  32. 2/9
  33. −5/6
  34. −6/7
  35. −1/7
  36. −1/9
  37. −7/24
  38. Negative
  39. −3/5
  40. 0

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