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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 980 · 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 (−1/3) − (−1/5)? (a) −2/15 (b) 2/15 (c) 0 (d) −8/15
  2. 2.What is the additive inverse of −2/3? (a) 2/3 (b) −3/2 (c) 3/2 (d) −2/3
  3. 3.Which is smaller: −1/2 or −5/8? (a) −5/8 (b) −1/2
  4. 4.Is −3/8 positive or negative? (a) Positive (b) Negative
  5. 5.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) −3/2 (c) 3/2 (d) 2/3
  6. 6.What is 7/8 + (−1/3)? (a) 29/24 (b) 6/11 (c) 13/24 (d) −13/24
  7. 7.Write 5/(−10) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −5/10 (c) −1/2 (d) −2/1
  8. 8.What is 4/9 + (−1/9)? (a) −1/3 (b) 1/6 (c) 1/3 (d) 5/9
  9. 9.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −15/21 (b) 5/7 (c) −5/7 (d) −7/5
  10. 10.Which is bigger: −7/9 or −1/3? (a) −1/3 (b) −7/9
  11. 11.What is 1/4 + (−6/7)? (a) 17/28 (b) −5/11 (c) −17/28 (d) 31/28
  12. 12.What is (−5/6) + (−3/4)? (a) −4/5 (b) −1/12 (c) 19/12 (d) −19/12
  13. 13.What is the additive inverse of −1/3? (a) 1/3 (b) 3 (c) −3 (d) −1/3
  14. 14.What is the additive inverse of −3/5? (a) −5/3 (b) 5/3 (c) 3/5 (d) −3/5
  15. 15.What is 1/8 − (−1/3)? (a) 2/11 (b) −5/24 (c) 11/24 (d) −11/24
  16. 16.Which is bigger: −2/5 or 7/9? (a) 7/9 (b) −2/5
  17. 17.What is 5/7 + (−8/9)? (a) −3/16 (b) 101/63 (c) −11/63 (d) 11/63
  18. 18.Which is bigger: −5/9 or 3/8? (a) −5/9 (b) 3/8
  19. 19.Is −5/3 positive or negative? (a) Positive (b) Negative
  20. 20.Write −10/16 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −8/5 (d) −10/16
  21. 21.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −8/36 (c) −2/9 (d) 2/9
  22. 22.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −4/10 (d) −2/5
  23. 23.What is 7/8 − (−5/8)? (a) −3/2 (b) 1/4 (c) 3/4 (d) 3/2
  24. 24.What is (−2/7) + 2/7? (a) −4/7 (b) 0
  25. 25.What is the additive inverse of 3/5? (a) 5/3 (b) −5/3 (c) 3/5 (d) −3/5
  26. 26.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −2/3 (d) −10/15
  27. 27.What is the reciprocal (multiplicative inverse) of 2/7? (a) −7/2 (b) −2/7 (c) 7/2 (d) 2/7
  28. 28.Is −4/(−4) positive or negative? (a) Positive (b) Negative
  29. 29.Which is smaller: −1/9 or 1/5? (a) −1/9 (b) 1/5
  30. 30.Which is smaller: −3/8 or −1/4? (a) −1/4 (b) −3/8
  31. 31.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) −14/16 (b) −7/8 (c) 7/8 (d) −8/7
  32. 32.Which is bigger: −3/8 or −4/9? (a) −4/9 (b) −3/8
  33. 33.Which is bigger: −6/7 or 2/9? (a) 2/9 (b) −6/7
  34. 34.What is (−1/5) + (−3/8)? (a) −23/40 (b) 7/40 (c) −4/13 (d) 23/40
  35. 35.Which is bigger: −1/5 or −7/9? (a) −1/5 (b) −7/9
  36. 36.What is (−5/8) − 8/9? (a) −109/72 (b) −13/17 (c) 109/72 (d) 19/72
  37. 37.Write −24/30 in standard form (lowest terms, positive denominator). (a) −24/30 (b) −5/4 (c) 4/5 (d) −4/5
  38. 38.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  39. 39.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) 7/2 (c) −7/2 (d) 2/7
  40. 40.What is 5/6 + (−5/6)? (a) 5/3 (b) 0

Answer key

  1. −2/15
  2. 2/3
  3. −5/8
  4. Negative
  5. 3/2
  6. 13/24
  7. −1/2
  8. 1/3
  9. −5/7
  10. −1/3
  11. −17/28
  12. −19/12
  13. 1/3
  14. 3/5
  15. 11/24
  16. 7/9
  17. −11/63
  18. 3/8
  19. Negative
  20. −5/8
  21. −2/9
  22. −2/5
  23. 3/2
  24. 0
  25. −3/5
  26. −2/3
  27. 7/2
  28. Positive
  29. −1/9
  30. −3/8
  31. −7/8
  32. −3/8
  33. 2/9
  34. −23/40
  35. −1/5
  36. −109/72
  37. −4/5
  38. Positive
  39. −7/2
  40. 0

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