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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 383 · 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 (−1/2) − (−1/4)? (a) 0 (b) 1/4 (c) −3/4 (d) −1/4
  2. 2.Is 1/4 positive or negative? (a) Positive (b) Negative
  3. 3.Is 5/(−9) positive or negative? (a) Positive (b) Negative
  4. 4.Which is smaller: −1/5 or −5/8? (a) −5/8 (b) −1/5
  5. 5.What is (−2/7) + 1/4? (a) 1/28 (b) −1/11 (c) −15/28 (d) −1/28
  6. 6.Write −18/30 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) −18/30 (d) 3/5
  7. 7.Is −8/(−4) positive or negative? (a) Negative (b) Positive
  8. 8.Is 8/(−4) positive or negative? (a) Positive (b) Negative
  9. 9.Which is bigger: −4/7 or −5/7? (a) −5/7 (b) −4/7
  10. 10.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −24/30 (c) 4/5 (d) −4/5
  11. 11.Which is smaller: −5/8 or −1/3? (a) −5/8 (b) −1/3
  12. 12.Is −7/9 positive or negative? (a) Positive (b) Negative
  13. 13.Is −6/7 positive or negative? (a) Positive (b) Negative
  14. 14.What is the reciprocal (multiplicative inverse) of 5/6? (a) 5/6 (b) −5/6 (c) 6/5 (d) −6/5
  15. 15.What is 1/8 − (−3/4)? (a) −7/8 (b) 7/8 (c) −5/8 (d) 1/3
  16. 16.What is 7/8 + (−3/8)? (a) 1/4 (b) 1/2 (c) 5/4 (d) −1/2
  17. 17.What is the reciprocal (multiplicative inverse) of −1/8? (a) −8 (b) 1/8 (c) −1/8 (d) 8
  18. 18.Which is bigger: −3/4 or 5/9? (a) 5/9 (b) −3/4
  19. 19.Write −15/35 in standard form (lowest terms, positive denominator). (a) −15/35 (b) 3/7 (c) −3/7 (d) −7/3
  20. 20.Is −3/2 positive or negative? (a) Negative (b) Positive
  21. 21.Which is smaller: −1/7 or −5/8? (a) −1/7 (b) −5/8
  22. 22.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) −5/7 (c) 5/7 (d) 7/5
  23. 23.Which is smaller: −5/8 or −2/5? (a) −5/8 (b) −2/5
  24. 24.What is 2/5 + (−4/5)? (a) 2/5 (b) −2/5 (c) −1/5 (d) 6/5
  25. 25.Write −10/12 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −10/12 (c) −5/6 (d) −6/5
  26. 26.Which is smaller: −5/6 or −5/8? (a) −5/6 (b) −5/8
  27. 27.Is 3/2 positive or negative? (a) Negative (b) Positive
  28. 28.Write −15/24 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −15/24 (c) 5/8 (d) −5/8
  29. 29.What is the additive inverse of 1/2? (a) 2 (b) −1/2 (c) 1/2 (d) −2
  30. 30.What is the reciprocal (multiplicative inverse) of 1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  31. 31.What is (−5/9) + 3/5? (a) −2/45 (b) −52/45 (c) −1/7 (d) 2/45
  32. 32.What is (−4/7) + (−3/4)? (a) 5/28 (b) −7/11 (c) 37/28 (d) −37/28
  33. 33.What is 2/5 + (−3/4)? (a) 7/20 (b) 23/20 (c) −7/20 (d) −1/9
  34. 34.Is 2/3 positive or negative? (a) Positive (b) Negative
  35. 35.Which is bigger: −1/3 or 2/5? (a) 2/5 (b) −1/3
  36. 36.What is 2/9 − (−4/5)? (a) −46/45 (b) 3/7 (c) 46/45 (d) −26/45
  37. 37.What is 1/3 − (−1/6)? (a) −1/2 (b) 2/9 (c) 1/2 (d) 1/6
  38. 38.Which is smaller: −1/8 or 7/9? (a) 7/9 (b) −1/8
  39. 39.What is (−7/8) − (−4/9)? (a) −31/72 (b) −3/17 (c) −95/72 (d) 31/72
  40. 40.What is 3/7 + (−3/4)? (a) −9/28 (b) 33/28 (c) 0 (d) 9/28

Answer key

  1. −1/4
  2. Positive
  3. Negative
  4. −5/8
  5. −1/28
  6. −3/5
  7. Positive
  8. Negative
  9. −4/7
  10. −4/5
  11. −5/8
  12. Negative
  13. Negative
  14. 6/5
  15. 7/8
  16. 1/2
  17. −8
  18. 5/9
  19. −3/7
  20. Negative
  21. −5/8
  22. 7/5
  23. −5/8
  24. −2/5
  25. −5/6
  26. −5/6
  27. Positive
  28. −5/8
  29. −1/2
  30. 2
  31. 2/45
  32. −37/28
  33. −7/20
  34. Positive
  35. 2/5
  36. 46/45
  37. 1/2
  38. −1/8
  39. −31/72
  40. −9/28

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