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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 764 · 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 (−1/8) + 1/4? (a) 0 (b) −3/8 (c) 1/8 (d) −1/8
  2. 2.What is the additive inverse of −2/3? (a) 3/2 (b) −3/2 (c) 2/3 (d) −2/3
  3. 3.Write −4/16 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −4/16 (d) −1/4
  4. 4.What is (−1/2) − 1/7? (a) −2/9 (b) −5/14 (c) 9/14 (d) −9/14
  5. 5.What is the additive inverse of 3/4? (a) −3/4 (b) 4/3 (c) 3/4 (d) −4/3
  6. 6.What is 2/9 + (−6/7)? (a) 40/63 (b) −1/4 (c) −40/63 (d) 68/63
  7. 7.What is (−5/8) − (−3/5)? (a) 1/40 (b) −2/13 (c) −1/40 (d) −49/40
  8. 8.Which is smaller: −1/4 or 3/7? (a) 3/7 (b) −1/4
  9. 9.What is (−2/9) + (−2/3)? (a) 4/9 (b) −8/9 (c) 8/9 (d) −1/3
  10. 10.What is 8/9 + (−7/8)? (a) 127/72 (b) 1/17 (c) −1/72 (d) 1/72
  11. 11.What is 6/7 + (−1/8)? (a) 55/56 (b) −41/56 (c) 1/3 (d) 41/56
  12. 12.Is 9/9 positive or negative? (a) Negative (b) Positive
  13. 13.Is 3/2 positive or negative? (a) Negative (b) Positive
  14. 14.Is −7/7 positive or negative? (a) Positive (b) Negative
  15. 15.Is −1/(−7) positive or negative? (a) Negative (b) Positive
  16. 16.What is (−1/6) + (−1/8)? (a) −7/24 (b) 7/24 (c) −1/7 (d) −1/24
  17. 17.What is (−5/8) − (−1/7)? (a) −4/15 (b) −27/56 (c) 27/56 (d) −43/56
  18. 18.Which is smaller: −2/3 or 4/7? (a) 4/7 (b) −2/3
  19. 19.Which is smaller: −2/3 or −1/7? (a) −1/7 (b) −2/3
  20. 20.What is (−5/8) + (−4/5)? (a) 57/40 (b) −9/13 (c) −57/40 (d) 7/40
  21. 21.Which is bigger: −1/2 or 2/7? (a) 2/7 (b) −1/2
  22. 22.Which is smaller: −1/5 or 1/2? (a) 1/2 (b) −1/5
  23. 23.Which is smaller: −1/6 or −5/8? (a) −1/6 (b) −5/8
  24. 24.Is 1/(−9) positive or negative? (a) Positive (b) Negative
  25. 25.What is (−5/9) − (−2/9)? (a) −1/3 (b) 1/3 (c) −7/9 (d) −1/6
  26. 26.What is (−4/9) + (−1/3)? (a) −7/9 (b) −5/12 (c) −1/9 (d) 7/9
  27. 27.Is 6/2 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−1/4) + 1/3? (a) 0 (b) −7/12 (c) 1/12 (d) −1/12
  29. 29.Which is bigger: −1/3 or 7/9? (a) 7/9 (b) −1/3
  30. 30.What is the additive inverse of 5/9? (a) 9/5 (b) −5/9 (c) −9/5 (d) 5/9
  31. 31.Is 7/(−9) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−2/3) − (−1/7)? (a) −1/10 (b) 11/21 (c) −17/21 (d) −11/21
  33. 33.What is 5/7 − (−1/5)? (a) −32/35 (b) 18/35 (c) 1/2 (d) 32/35
  34. 34.What is 5/7 + (−5/7)? (a) 0 (b) 10/7
  35. 35.Which is smaller: −4/5 or −4/7? (a) −4/5 (b) −4/7
  36. 36.Which is bigger: −8/9 or 3/4? (a) −8/9 (b) 3/4
  37. 37.Is 2/3 positive or negative? (a) Negative (b) Positive
  38. 38.What is (−5/8) + (−2/3)? (a) −31/24 (b) −7/11 (c) 1/24 (d) 31/24
  39. 39.Which is bigger: −4/5 or 1/8? (a) 1/8 (b) −4/5
  40. 40.What is (−2/7) + (−2/3)? (a) 20/21 (b) −2/5 (c) 8/21 (d) −20/21

Answer key

  1. 1/8
  2. 2/3
  3. −1/4
  4. −9/14
  5. −3/4
  6. −40/63
  7. −1/40
  8. −1/4
  9. −8/9
  10. 1/72
  11. 41/56
  12. Positive
  13. Positive
  14. Negative
  15. Positive
  16. −7/24
  17. −27/56
  18. −2/3
  19. −2/3
  20. −57/40
  21. 2/7
  22. −1/5
  23. −5/8
  24. Negative
  25. −1/3
  26. −7/9
  27. Positive
  28. 1/12
  29. 7/9
  30. −5/9
  31. Negative
  32. −11/21
  33. 32/35
  34. 0
  35. −4/5
  36. 3/4
  37. Positive
  38. −31/24
  39. 1/8
  40. −20/21

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