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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 570 · 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 1/6 + (−1/6)? (a) 0 (b) 1/3
  2. 2.What is (−1/3) − 4/9? (a) 7/9 (b) −7/9 (c) −5/12 (d) 1/9
  3. 3.What is (−7/8) − (−3/4)? (a) −1/3 (b) 1/8 (c) −13/8 (d) −1/8
  4. 4.Which is smaller: −2/3 or −7/8? (a) −2/3 (b) −7/8
  5. 5.Is −1/(−6) positive or negative? (a) Positive (b) Negative
  6. 6.What is the additive inverse of −1/3? (a) 1/3 (b) 3 (c) −1/3 (d) −3
  7. 7.What is (−2/7) + 7/9? (a) −67/63 (b) −31/63 (c) 5/16 (d) 31/63
  8. 8.What is the additive inverse of −3/5? (a) −5/3 (b) 5/3 (c) −3/5 (d) 3/5
  9. 9.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) −3 (c) −1/3 (d) 1/3
  10. 10.Which is smaller: −7/9 or −1/7? (a) −7/9 (b) −1/7
  11. 11.What is (−6/7) + 1/4? (a) −5/11 (b) −17/28 (c) −31/28 (d) 17/28
  12. 12.Which is bigger: −2/5 or −4/9? (a) −2/5 (b) −4/9
  13. 13.What is 1/3 − (−4/7)? (a) 19/21 (b) −19/21 (c) −5/21 (d) 1/2
  14. 14.Write −9/12 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) 3/4 (d) −9/12
  15. 15.What is (−1/3) + (−1/3)? (a) 2/3 (b) −1/3 (c) 0 (d) −2/3
  16. 16.Which is smaller: −2/5 or 1/3? (a) −2/5 (b) 1/3
  17. 17.What is (−2/7) − (−1/6)? (a) 5/42 (b) −5/42 (c) −1/13 (d) −19/42
  18. 18.Which is bigger: −1/9 or −2/7? (a) −1/9 (b) −2/7
  19. 19.What is the additive inverse of 1/2? (a) −2 (b) 2 (c) −1/2 (d) 1/2
  20. 20.Write −6/18 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) −6/18 (d) 1/3
  21. 21.Is 9/3 positive or negative? (a) Negative (b) Positive
  22. 22.Is 7/(−3) positive or negative? (a) Positive (b) Negative
  23. 23.What is the additive inverse of −1/7? (a) 1/7 (b) −7 (c) 7 (d) −1/7
  24. 24.What is (−5/6) + 1/2? (a) −1/3 (b) −4/3 (c) 1/3 (d) −1/2
  25. 25.Is −1/(−7) positive or negative? (a) Negative (b) Positive
  26. 26.Which is bigger: −2/3 or −2/9? (a) −2/9 (b) −2/3
  27. 27.Write −3/24 in standard form (lowest terms, positive denominator). (a) −1/8 (b) −3/24 (c) −8/1 (d) 1/8
  28. 28.Is 8/(−6) positive or negative? (a) Negative (b) Positive
  29. 29.What is (−1/2) − 1/8? (a) 5/8 (b) −1/5 (c) −5/8 (d) −3/8
  30. 30.What is the additive inverse of −4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  31. 31.Is −2/2 positive or negative? (a) Positive (b) Negative
  32. 32.What is (−8/9) − 4/5? (a) −4/45 (b) 76/45 (c) −6/7 (d) −76/45
  33. 33.What is (−3/8) − 1/9? (a) 35/72 (b) −4/17 (c) −19/72 (d) −35/72
  34. 34.What is (−5/7) + (−5/8)? (a) 75/56 (b) −5/56 (c) −2/3 (d) −75/56
  35. 35.What is the reciprocal (multiplicative inverse) of 4/5? (a) 5/4 (b) −4/5 (c) 4/5 (d) −5/4
  36. 36.Which is bigger: −4/7 or 4/5? (a) 4/5 (b) −4/7
  37. 37.Which is bigger: −2/9 or −3/8? (a) −2/9 (b) −3/8
  38. 38.What is (−3/4) − 7/8? (a) −5/6 (b) −13/8 (c) 1/8 (d) 13/8
  39. 39.Which is smaller: −2/3 or −3/5? (a) −3/5 (b) −2/3
  40. 40.What is (−3/8) + (−6/7)? (a) −69/56 (b) −3/5 (c) 27/56 (d) 69/56

Answer key

  1. 0
  2. −7/9
  3. −1/8
  4. −7/8
  5. Positive
  6. 1/3
  7. 31/63
  8. 3/5
  9. 3
  10. −7/9
  11. −17/28
  12. −2/5
  13. 19/21
  14. −3/4
  15. −2/3
  16. −2/5
  17. −5/42
  18. −1/9
  19. −1/2
  20. −1/3
  21. Positive
  22. Negative
  23. 1/7
  24. −1/3
  25. Positive
  26. −2/9
  27. −1/8
  28. Negative
  29. −5/8
  30. 4/9
  31. Negative
  32. −76/45
  33. −35/72
  34. −75/56
  35. 5/4
  36. 4/5
  37. −2/9
  38. −13/8
  39. −2/3
  40. −69/56

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