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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 396 · 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: −4/9 or −2/7? (a) −4/9 (b) −2/7
  2. 2.What is (−1/7) + 8/9? (a) 47/63 (b) 7/16 (c) −65/63 (d) −47/63
  3. 3.What is the additive inverse of −2/3? (a) 2/3 (b) 3/2 (c) −2/3 (d) −3/2
  4. 4.Is 2/3 positive or negative? (a) Negative (b) Positive
  5. 5.Is −8/8 positive or negative? (a) Positive (b) Negative
  6. 6.Is 8/9 positive or negative? (a) Positive (b) Negative
  7. 7.What is 1/5 − (−5/6)? (a) 6/11 (b) −19/30 (c) 31/30 (d) −31/30
  8. 8.What is (−4/5) − 1/5? (a) 1 (b) −1/2 (c) −3/5 (d) −1
  9. 9.What is 1/6 + (−3/5)? (a) −2/11 (b) −13/30 (c) 13/30 (d) 23/30
  10. 10.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −9/12 (b) −3/4 (c) −4/3 (d) 3/4
  11. 11.What is (−1/2) − (−6/7)? (a) −19/14 (b) 5/14 (c) −5/14 (d) 5/9
  12. 12.Which is bigger: −2/3 or −1/6? (a) −2/3 (b) −1/6
  13. 13.Is −2/2 positive or negative? (a) Positive (b) Negative
  14. 14.Which is smaller: −3/5 or −3/7? (a) −3/7 (b) −3/5
  15. 15.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −4/14 (d) −2/7
  16. 16.What is the reciprocal (multiplicative inverse) of 5/6? (a) 5/6 (b) −6/5 (c) 6/5 (d) −5/6
  17. 17.Is 9/(−9) positive or negative? (a) Negative (b) Positive
  18. 18.Write −36/42 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −36/42 (d) −6/7
  19. 19.What is 6/7 − (−1/4)? (a) 7/11 (b) 31/28 (c) 17/28 (d) −31/28
  20. 20.Write −8/18 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) −8/18 (d) 4/9
  21. 21.What is (−5/8) − 4/5? (a) 57/40 (b) −57/40 (c) 7/40 (d) −9/13
  22. 22.What is (−6/7) − (−1/2)? (a) −19/14 (b) −5/14 (c) 5/14 (d) −5/9
  23. 23.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) 7/5 (c) 5/7 (d) −5/7
  24. 24.Is 3/5 positive or negative? (a) Positive (b) Negative
  25. 25.Which is smaller: −2/5 or −3/4? (a) −3/4 (b) −2/5
  26. 26.What is (−1/4) + 2/3? (a) −5/12 (b) −11/12 (c) 1/7 (d) 5/12
  27. 27.Write −6/9 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −6/9 (c) 2/3 (d) −2/3
  28. 28.What is (−1/7) + 1/3? (a) −10/21 (b) −4/21 (c) 4/21 (d) 0
  29. 29.What is 2/9 + (−1/6)? (a) 1/15 (b) −1/18 (c) 1/18 (d) 7/18
  30. 30.What is 1/4 + (−1/6)? (a) −1/12 (b) 1/12 (c) 5/12 (d) 0
  31. 31.What is the additive inverse of 1/9? (a) 1/9 (b) −1/9 (c) 9 (d) −9
  32. 32.Is −2/(−3) positive or negative? (a) Negative (b) Positive
  33. 33.Write −6/12 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −6/12 (d) −2/1
  34. 34.What is 2/5 − (−7/9)? (a) 9/14 (b) −53/45 (c) −17/45 (d) 53/45
  35. 35.What is 7/9 − (−4/9)? (a) −11/9 (b) 1/3 (c) 11/9 (d) 11/18
  36. 36.Which is smaller: −5/9 or 6/7? (a) 6/7 (b) −5/9
  37. 37.What is the reciprocal (multiplicative inverse) of −4/9? (a) −4/9 (b) 9/4 (c) 4/9 (d) −9/4
  38. 38.What is 1/2 + (−2/9)? (a) −5/18 (b) −1/11 (c) 13/18 (d) 5/18
  39. 39.What is the additive inverse of 5/6? (a) 6/5 (b) −6/5 (c) 5/6 (d) −5/6
  40. 40.Is 5/9 positive or negative? (a) Negative (b) Positive

Answer key

  1. −4/9
  2. 47/63
  3. 2/3
  4. Positive
  5. Negative
  6. Positive
  7. 31/30
  8. −1
  9. −13/30
  10. −3/4
  11. 5/14
  12. −1/6
  13. Negative
  14. −3/5
  15. −2/7
  16. 6/5
  17. Negative
  18. −6/7
  19. 31/28
  20. −4/9
  21. −57/40
  22. −5/14
  23. 7/5
  24. Positive
  25. −3/4
  26. 5/12
  27. −2/3
  28. 4/21
  29. 1/18
  30. 1/12
  31. −1/9
  32. Positive
  33. −1/2
  34. 53/45
  35. 11/9
  36. −5/9
  37. −9/4
  38. 5/18
  39. −5/6
  40. Positive

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