← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 593 · 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: −1/8 or −2/5? (a) −2/5 (b) −1/8
  2. 2.Which is bigger: −5/8 or −4/9? (a) −4/9 (b) −5/8
  3. 3.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) 2 (c) −1/2 (d) −2
  4. 4.Is −1/9 positive or negative? (a) Positive (b) Negative
  5. 5.Which is smaller: −4/5 or −2/9? (a) −4/5 (b) −2/9
  6. 6.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) 5/8 (c) −8/5 (d) 8/5
  7. 7.What is (−1/4) + 4/7? (a) 9/28 (b) −23/28 (c) −9/28 (d) 3/11
  8. 8.What is (−1/5) + 1/4? (a) −9/20 (b) 0 (c) −1/20 (d) 1/20
  9. 9.What is (−1/3) + 1/9? (a) −4/9 (b) 0 (c) 2/9 (d) −2/9
  10. 10.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −5/35 (b) −1/7 (c) −7/1 (d) 1/7
  11. 11.Which is bigger: −2/7 or −1/7? (a) −2/7 (b) −1/7
  12. 12.Which is smaller: −1/9 or −1/4? (a) −1/9 (b) −1/4
  13. 13.Is −7/7 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−3/7) + (−3/8)? (a) −2/5 (b) −3/56 (c) 45/56 (d) −45/56
  15. 15.Is 6/(−2) positive or negative? (a) Positive (b) Negative
  16. 16.Is 8/(−2) positive or negative? (a) Positive (b) Negative
  17. 17.Is −4/5 positive or negative? (a) Positive (b) Negative
  18. 18.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) −1/3 (c) −3 (d) 3
  19. 19.Write −10/15 in standard form (lowest terms, positive denominator). (a) −10/15 (b) −3/2 (c) −2/3 (d) 2/3
  20. 20.What is the additive inverse of −1/5? (a) −1/5 (b) −5 (c) 5 (d) 1/5
  21. 21.Is 4/5 positive or negative? (a) Negative (b) Positive
  22. 22.Which is bigger: −5/8 or 7/9? (a) 7/9 (b) −5/8
  23. 23.Which is bigger: −3/4 or −3/7? (a) −3/4 (b) −3/7
  24. 24.What is (−1/7) − (−4/9)? (a) 19/63 (b) −37/63 (c) −19/63 (d) 3/16
  25. 25.Which is bigger: −5/8 or 8/9? (a) 8/9 (b) −5/8
  26. 26.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  27. 27.Write −24/27 in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) −24/27 (d) 8/9
  28. 28.Write 18/(−42) in standard form (lowest terms, positive denominator). (a) −18/42 (b) 3/7 (c) −7/3 (d) −3/7
  29. 29.Which is smaller: −4/5 or −4/7? (a) −4/7 (b) −4/5
  30. 30.Is −3/(−4) positive or negative? (a) Positive (b) Negative
  31. 31.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −10/14
  32. 32.Is 2/3 positive or negative? (a) Negative (b) Positive
  33. 33.Which is bigger: −5/9 or −2/3? (a) −2/3 (b) −5/9
  34. 34.What is (−1/5) − 3/7? (a) 22/35 (b) −1/3 (c) −22/35 (d) 8/35
  35. 35.Is 7/(−5) positive or negative? (a) Positive (b) Negative
  36. 36.What is (−3/7) + 1/7? (a) −1/7 (b) 2/7 (c) −4/7 (d) −2/7
  37. 37.Which is smaller: −1/4 or −3/4? (a) −1/4 (b) −3/4
  38. 38.Which is bigger: −1/5 or −2/9? (a) −1/5 (b) −2/9
  39. 39.What is 3/5 + (−1/9)? (a) −22/45 (b) 32/45 (c) 1/7 (d) 22/45
  40. 40.Is 5/3 positive or negative? (a) Negative (b) Positive

Answer key

  1. −2/5
  2. −4/9
  3. −2
  4. Negative
  5. −4/5
  6. 8/5
  7. 9/28
  8. 1/20
  9. −2/9
  10. −1/7
  11. −1/7
  12. −1/4
  13. Negative
  14. −45/56
  15. Negative
  16. Negative
  17. Negative
  18. −3
  19. −2/3
  20. 1/5
  21. Positive
  22. 7/9
  23. −3/7
  24. 19/63
  25. 8/9
  26. 5/2
  27. −8/9
  28. −3/7
  29. −4/5
  30. Positive
  31. −5/7
  32. Positive
  33. −5/9
  34. −22/35
  35. Negative
  36. −2/7
  37. −3/4
  38. −1/5
  39. 22/45
  40. Positive

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