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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 580 · 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 bigger: −1/6 or 8/9? (a) −1/6 (b) 8/9
  2. 2.What is the additive inverse of −7/9? (a) −7/9 (b) 7/9 (c) 9/7 (d) −9/7
  3. 3.What is the additive inverse of 1/4? (a) −4 (b) 1/4 (c) −1/4 (d) 4
  4. 4.Is 8/(−2) positive or negative? (a) Positive (b) Negative
  5. 5.Write −10/15 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −10/15 (c) 2/3 (d) −2/3
  6. 6.Which is smaller: −1/6 or 7/8? (a) 7/8 (b) −1/6
  7. 7.Is −2/5 positive or negative? (a) Negative (b) Positive
  8. 8.Write −6/8 in standard form (lowest terms, positive denominator). (a) −6/8 (b) −3/4 (c) −4/3 (d) 3/4
  9. 9.Which is bigger: −3/7 or −2/3? (a) −2/3 (b) −3/7
  10. 10.What is the reciprocal (multiplicative inverse) of −1/9? (a) −9 (b) 1/9 (c) 9 (d) −1/9
  11. 11.Which is bigger: −1/9 or −8/9? (a) −8/9 (b) −1/9
  12. 12.Is 6/8 positive or negative? (a) Negative (b) Positive
  13. 13.What is (−2/5) − 2/3? (a) 4/15 (b) −16/15 (c) −1/2 (d) 16/15
  14. 14.Which is bigger: −3/8 or −8/9? (a) −3/8 (b) −8/9
  15. 15.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −8/12 (c) −2/3 (d) −3/2
  16. 16.What is (−1/4) + (−2/3)? (a) 5/12 (b) 11/12 (c) −3/7 (d) −11/12
  17. 17.What is the additive inverse of 4/5? (a) 4/5 (b) 5/4 (c) −4/5 (d) −5/4
  18. 18.Write −5/20 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) 1/4 (d) −5/20
  19. 19.Is −4/2 positive or negative? (a) Negative (b) Positive
  20. 20.What is (−1/4) − 5/7? (a) −6/11 (b) −27/28 (c) 13/28 (d) 27/28
  21. 21.What is (−3/4) + 1/6? (a) 7/12 (b) −11/12 (c) −7/12 (d) −1/5
  22. 22.What is (−2/5) + (−3/5)? (a) −1/2 (b) 1 (c) 1/5 (d) −1
  23. 23.Which is smaller: −4/9 or −2/3? (a) −4/9 (b) −2/3
  24. 24.Which is smaller: −7/8 or −2/5? (a) −7/8 (b) −2/5
  25. 25.Which is bigger: −3/7 or 2/9? (a) 2/9 (b) −3/7
  26. 26.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) 2/5 (c) 5/2 (d) −2/5
  27. 27.What is 1/7 − (−1/9)? (a) 1/8 (b) −16/63 (c) 16/63 (d) 2/63
  28. 28.What is 1/6 − (−3/7)? (a) −25/42 (b) 25/42 (c) 4/13 (d) −11/42
  29. 29.What is (−4/7) − (−3/4)? (a) −37/28 (b) −1/11 (c) −5/28 (d) 5/28
  30. 30.Is −3/7 positive or negative? (a) Positive (b) Negative
  31. 31.What is 4/9 + (−1/3)? (a) −1/9 (b) 1/4 (c) 1/9 (d) 7/9
  32. 32.What is (−3/4) + (−3/5)? (a) 27/20 (b) −27/20 (c) −2/3 (d) −3/20
  33. 33.Which is bigger: −2/7 or −2/9? (a) −2/7 (b) −2/9
  34. 34.Which is bigger: −4/9 or −3/8? (a) −4/9 (b) −3/8
  35. 35.What is (−1/5) − (−3/7)? (a) 1/6 (b) 8/35 (c) −8/35 (d) −22/35
  36. 36.What is (−2/5) − (−3/7)? (a) 1/12 (b) −1/35 (c) −29/35 (d) 1/35
  37. 37.What is (−4/7) + 6/7? (a) 2/7 (b) −2/7 (c) −10/7 (d) 1/7
  38. 38.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −18/30 (c) −3/5 (d) −5/3
  39. 39.Is −3/(−8) positive or negative? (a) Negative (b) Positive
  40. 40.What is the reciprocal (multiplicative inverse) of 1/5? (a) 5 (b) −1/5 (c) −5 (d) 1/5

Answer key

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

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