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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 373 · 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.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  2. 2.What is (−1/9) + 2/3? (a) −5/9 (b) 1/12 (c) −7/9 (d) 5/9
  3. 3.Is −1/(−3) positive or negative? (a) Positive (b) Negative
  4. 4.Which is smaller: −2/9 or −3/5? (a) −3/5 (b) −2/9
  5. 5.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −9/15 (c) −5/3 (d) −3/5
  6. 6.Which is smaller: −3/4 or −4/5? (a) −3/4 (b) −4/5
  7. 7.Which is bigger: −6/7 or −3/5? (a) −6/7 (b) −3/5
  8. 8.Is −3/(−5) positive or negative? (a) Positive (b) Negative
  9. 9.What is 1/8 − (−1/8)? (a) −1/4 (b) 0 (c) 1/4 (d) 1/8
  10. 10.Which is bigger: −3/5 or −1/3? (a) −1/3 (b) −3/5
  11. 11.Which is smaller: −5/7 or 2/5? (a) −5/7 (b) 2/5
  12. 12.Write −12/27 in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −12/27 (d) −4/9
  13. 13.Which is smaller: −7/8 or 8/9? (a) 8/9 (b) −7/8
  14. 14.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) −1/5 (c) 5 (d) −5
  15. 15.Which is smaller: −2/7 or 5/8? (a) 5/8 (b) −2/7
  16. 16.Which is smaller: −7/9 or 1/6? (a) 1/6 (b) −7/9
  17. 17.What is 7/9 + (−1/4)? (a) 19/36 (b) 6/13 (c) −19/36 (d) 37/36
  18. 18.Is 8/2 positive or negative? (a) Positive (b) Negative
  19. 19.Which is smaller: −5/8 or −4/5? (a) −5/8 (b) −4/5
  20. 20.Is −3/9 positive or negative? (a) Positive (b) Negative
  21. 21.What is the reciprocal (multiplicative inverse) of −1/9? (a) 1/9 (b) −1/9 (c) −9 (d) 9
  22. 22.What is the additive inverse of 1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  23. 23.What is the additive inverse of 3/8? (a) −3/8 (b) 8/3 (c) −8/3 (d) 3/8
  24. 24.What is (−5/6) + (−7/9)? (a) −4/5 (b) −29/18 (c) 29/18 (d) −1/18
  25. 25.Is 2/(−9) positive or negative? (a) Positive (b) Negative
  26. 26.What is (−4/7) − 1/9? (a) 43/63 (b) −5/16 (c) −43/63 (d) −29/63
  27. 27.Is 1/3 positive or negative? (a) Negative (b) Positive
  28. 28.Is −1/4 positive or negative? (a) Negative (b) Positive
  29. 29.Is −1/(−7) positive or negative? (a) Negative (b) Positive
  30. 30.Which is smaller: −1/6 or −6/7? (a) −1/6 (b) −6/7
  31. 31.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −6/36 (d) −1/6
  32. 32.Is −6/(−9) positive or negative? (a) Negative (b) Positive
  33. 33.What is (−5/9) + (−1/8)? (a) −6/17 (b) −31/72 (c) −49/72 (d) 49/72
  34. 34.What is (−4/9) + 1/5? (a) −29/45 (b) −11/45 (c) −3/14 (d) 11/45
  35. 35.Is 7/(−9) positive or negative? (a) Negative (b) Positive
  36. 36.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) 1/4 (c) −1/4 (d) −4
  37. 37.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −40/45 (d) 8/9
  38. 38.Which is bigger: −7/9 or −4/9? (a) −7/9 (b) −4/9
  39. 39.What is the additive inverse of −5/6? (a) −6/5 (b) 5/6 (c) 6/5 (d) −5/6
  40. 40.Which is smaller: −1/3 or −1/2? (a) −1/3 (b) −1/2

Answer key

  1. Negative
  2. 5/9
  3. Positive
  4. −3/5
  5. −3/5
  6. −4/5
  7. −3/5
  8. Positive
  9. 1/4
  10. −1/3
  11. −5/7
  12. −4/9
  13. −7/8
  14. 5
  15. −2/7
  16. −7/9
  17. 19/36
  18. Positive
  19. −4/5
  20. Negative
  21. −9
  22. −1/4
  23. −3/8
  24. −29/18
  25. Negative
  26. −43/63
  27. Positive
  28. Negative
  29. Positive
  30. −6/7
  31. −1/6
  32. Positive
  33. −49/72
  34. −11/45
  35. Negative
  36. 4
  37. −8/9
  38. −4/9
  39. 5/6
  40. −1/2

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