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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 981 · 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 −8/3 positive or negative? (a) Negative (b) Positive
  2. 2.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −1/4 (d) −4/16
  3. 3.What is 5/9 − (−1/3)? (a) 8/9 (b) 2/9 (c) 1/2 (d) −8/9
  4. 4.What is the reciprocal (multiplicative inverse) of 2/7? (a) −7/2 (b) 2/7 (c) 7/2 (d) −2/7
  5. 5.Which is smaller: −1/3 or 3/7? (a) 3/7 (b) −1/3
  6. 6.Write −30/48 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −30/48 (d) −5/8
  7. 7.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  8. 8.What is 1/8 − (−2/5)? (a) −21/40 (b) −11/40 (c) 3/13 (d) 21/40
  9. 9.Which is smaller: −5/9 or −1/2? (a) −5/9 (b) −1/2
  10. 10.Is −9/9 positive or negative? (a) Negative (b) Positive
  11. 11.What is (−5/9) + (−1/3)? (a) −2/9 (b) −1/2 (c) 8/9 (d) −8/9
  12. 12.What is 4/9 − (−1/2)? (a) −1/18 (b) 5/11 (c) 17/18 (d) −17/18
  13. 13.Which is bigger: −4/5 or 2/3? (a) 2/3 (b) −4/5
  14. 14.What is the reciprocal (multiplicative inverse) of −1/2? (a) −2 (b) 2 (c) −1/2 (d) 1/2
  15. 15.Which is smaller: −3/4 or 3/8? (a) 3/8 (b) −3/4
  16. 16.What is (−3/4) + (−2/9)? (a) −35/36 (b) 35/36 (c) −5/13 (d) −19/36
  17. 17.Is 4/3 positive or negative? (a) Positive (b) Negative
  18. 18.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −1/7 (c) −5/35 (d) 1/7
  19. 19.What is (−6/7) + 1/8? (a) −55/56 (b) −1/3 (c) −41/56 (d) 41/56
  20. 20.What is (−1/5) + 6/7? (a) 23/35 (b) −37/35 (c) 5/12 (d) −23/35
  21. 21.Write −6/30 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) −6/30 (d) 1/5
  22. 22.Write −12/30 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −5/2 (d) −12/30
  23. 23.Write −15/35 in standard form (lowest terms, positive denominator). (a) −3/7 (b) 3/7 (c) −7/3 (d) −15/35
  24. 24.Which is smaller: −1/8 or −3/4? (a) −3/4 (b) −1/8
  25. 25.What is (−1/6) − 1/2? (a) 2/3 (b) −1/4 (c) −2/3 (d) 1/3
  26. 26.Is −5/7 positive or negative? (a) Negative (b) Positive
  27. 27.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −30/35
  28. 28.Is 1/7 positive or negative? (a) Negative (b) Positive
  29. 29.Is −2/(−7) positive or negative? (a) Positive (b) Negative
  30. 30.Write −6/24 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) 1/4 (d) −6/24
  31. 31.Which is bigger: −2/5 or 3/5? (a) −2/5 (b) 3/5
  32. 32.Write −2/16 in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) 1/8 (d) −2/16
  33. 33.Is 6/(−2) positive or negative? (a) Negative (b) Positive
  34. 34.What is 1/7 + (−1/8)? (a) −1/56 (b) 15/56 (c) 1/56 (d) 0
  35. 35.What is (−2/5) − (−5/6)? (a) 13/30 (b) −37/30 (c) 3/11 (d) −13/30
  36. 36.Which is bigger: −6/7 or 3/8? (a) −6/7 (b) 3/8
  37. 37.Which is smaller: −3/7 or 5/7? (a) 5/7 (b) −3/7
  38. 38.Is 8/(−9) positive or negative? (a) Positive (b) Negative
  39. 39.What is the additive inverse of 5/6? (a) −6/5 (b) −5/6 (c) 6/5 (d) 5/6
  40. 40.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −5/20 (d) 1/4

Answer key

  1. Negative
  2. −1/4
  3. 8/9
  4. 7/2
  5. −1/3
  6. −5/8
  7. Negative
  8. 21/40
  9. −5/9
  10. Negative
  11. −8/9
  12. 17/18
  13. 2/3
  14. −2
  15. −3/4
  16. −35/36
  17. Positive
  18. −1/7
  19. −41/56
  20. 23/35
  21. −1/5
  22. −2/5
  23. −3/7
  24. −3/4
  25. −2/3
  26. Negative
  27. −6/7
  28. Positive
  29. Positive
  30. −1/4
  31. 3/5
  32. −1/8
  33. Negative
  34. 1/56
  35. 13/30
  36. 3/8
  37. −3/7
  38. Negative
  39. −5/6
  40. −1/4

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