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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 420 · 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: −2/5 or −8/9? (a) −2/5 (b) −8/9
  2. 2.Is −9/4 positive or negative? (a) Positive (b) Negative
  3. 3.What is the additive inverse of −4/9? (a) 9/4 (b) 4/9 (c) −9/4 (d) −4/9
  4. 4.What is (−8/9) − (−8/9)? (a) 0 (b) −16/9
  5. 5.What is (−1/8) + 1/4? (a) −3/8 (b) −1/8 (c) 1/8 (d) 0
  6. 6.Write −12/54 in standard form (lowest terms, positive denominator). (a) −2/9 (b) 2/9 (c) −12/54 (d) −9/2
  7. 7.Which is smaller: −6/7 or 1/6? (a) −6/7 (b) 1/6
  8. 8.Which is bigger: −5/9 or −3/8? (a) −3/8 (b) −5/9
  9. 9.Is −5/(−6) positive or negative? (a) Positive (b) Negative
  10. 10.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) −7/3 (c) 7/3 (d) −3/7
  11. 11.What is 1/6 − (−2/5)? (a) −7/30 (b) 3/11 (c) −17/30 (d) 17/30
  12. 12.What is (−2/7) + 1/2? (a) 3/14 (b) −3/14 (c) −11/14 (d) −1/9
  13. 13.Is 9/8 positive or negative? (a) Negative (b) Positive
  14. 14.Which is bigger: −1/9 or 4/5? (a) −1/9 (b) 4/5
  15. 15.Which is smaller: −8/9 or −6/7? (a) −6/7 (b) −8/9
  16. 16.Which is smaller: −5/9 or −6/7? (a) −5/9 (b) −6/7
  17. 17.Is 4/(−8) positive or negative? (a) Negative (b) Positive
  18. 18.Which is bigger: −4/5 or −1/4? (a) −4/5 (b) −1/4
  19. 19.Is −1/(−4) positive or negative? (a) Positive (b) Negative
  20. 20.Is 3/4 positive or negative? (a) Negative (b) Positive
  21. 21.What is the reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) 7/6 (c) 6/7 (d) −6/7
  22. 22.Write −3/18 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −3/18 (d) −1/6
  23. 23.What is the additive inverse of 5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  24. 24.Is −8/7 positive or negative? (a) Negative (b) Positive
  25. 25.What is the additive inverse of −1/9? (a) −9 (b) 1/9 (c) 9 (d) −1/9
  26. 26.What is the additive inverse of 1/6? (a) 1/6 (b) −6 (c) 6 (d) −1/6
  27. 27.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) 5/9 (c) −5/9 (d) −9/5
  28. 28.What is (−1/7) − 7/8? (a) 41/56 (b) −8/15 (c) −57/56 (d) 57/56
  29. 29.Is 5/(−8) positive or negative? (a) Negative (b) Positive
  30. 30.What is (−8/9) − 7/9? (a) −1/9 (b) 5/3 (c) −5/6 (d) −5/3
  31. 31.Write −21/24 in standard form (lowest terms, positive denominator). (a) −21/24 (b) 7/8 (c) −8/7 (d) −7/8
  32. 32.Write 5/(−10) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −5/10 (c) −2/1 (d) −1/2
  33. 33.What is (−1/3) + 3/5? (a) 1/4 (b) −4/15 (c) 4/15 (d) −14/15
  34. 34.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) −9/8 (c) 8/9 (d) −8/9
  35. 35.Which is bigger: −3/7 or −2/5? (a) −3/7 (b) −2/5
  36. 36.What is (−5/7) − (−2/9)? (a) 31/63 (b) −3/16 (c) −31/63 (d) −59/63
  37. 37.Is 1/3 positive or negative? (a) Positive (b) Negative
  38. 38.Which is smaller: −1/5 or −2/7? (a) −2/7 (b) −1/5
  39. 39.Is −7/(−5) positive or negative? (a) Negative (b) Positive
  40. 40.What is the additive inverse of 1/3? (a) 1/3 (b) 3 (c) −1/3 (d) −3

Answer key

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

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