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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 867 · 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: −6/7 or −7/9? (a) −6/7 (b) −7/9
  2. 2.Is 6/3 positive or negative? (a) Negative (b) Positive
  3. 3.Is −9/(−4) positive or negative? (a) Negative (b) Positive
  4. 4.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −3/15 (d) −5/1
  5. 5.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −18/48 (c) −8/3 (d) −3/8
  6. 6.Which is bigger: −1/8 or 3/7? (a) −1/8 (b) 3/7
  7. 7.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) 3/4 (c) 4/3 (d) −4/3
  8. 8.Write −6/8 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) 3/4 (d) −6/8
  9. 9.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) −1/6 (b) 1/6 (c) −6/1 (d) −3/18
  10. 10.What is the additive inverse of 1/3? (a) −1/3 (b) 3 (c) 1/3 (d) −3
  11. 11.What is 6/7 − (−4/7)? (a) 2/7 (b) 5/7 (c) −10/7 (d) 10/7
  12. 12.What is the reciprocal (multiplicative inverse) of −1/6? (a) −6 (b) 6 (c) 1/6 (d) −1/6
  13. 13.Which is smaller: −2/7 or 5/7? (a) −2/7 (b) 5/7
  14. 14.Is 1/3 positive or negative? (a) Negative (b) Positive
  15. 15.What is (−8/9) − (−7/8)? (a) 1/72 (b) −127/72 (c) −1/72 (d) −1/17
  16. 16.What is the reciprocal (multiplicative inverse) of 1/2? (a) 2 (b) 1/2 (c) −1/2 (d) −2
  17. 17.What is the additive inverse of 4/9? (a) 4/9 (b) 9/4 (c) −9/4 (d) −4/9
  18. 18.What is 3/5 − (−7/8)? (a) −11/40 (b) 10/13 (c) 59/40 (d) −59/40
  19. 19.What is (−5/9) + 4/7? (a) −1/63 (b) 1/63 (c) −1/16 (d) −71/63
  20. 20.What is 3/4 + (−3/8)? (a) 9/8 (b) −3/8 (c) 0 (d) 3/8
  21. 21.What is 3/5 − (−1/3)? (a) 1/2 (b) 4/15 (c) 14/15 (d) −14/15
  22. 22.What is the reciprocal (multiplicative inverse) of 7/8? (a) 8/7 (b) −8/7 (c) 7/8 (d) −7/8
  23. 23.What is (−4/9) + (−1/4)? (a) −25/36 (b) −5/13 (c) −7/36 (d) 25/36
  24. 24.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) −2/7 (c) 7/2 (d) −7/2
  25. 25.What is (−1/5) − (−4/5)? (a) −1 (b) 3/10 (c) 3/5 (d) −3/5
  26. 26.Which is smaller: −2/7 or 1/6? (a) 1/6 (b) −2/7
  27. 27.What is (−3/7) + (−3/5)? (a) 36/35 (b) 6/35 (c) −1/2 (d) −36/35
  28. 28.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −1/8 (c) 1/8 (d) −6/48
  29. 29.What is (−2/5) + (−6/7)? (a) −2/3 (b) −44/35 (c) 16/35 (d) 44/35
  30. 30.Is 9/5 positive or negative? (a) Positive (b) Negative
  31. 31.What is the additive inverse of −4/9? (a) −4/9 (b) 4/9 (c) −9/4 (d) 9/4
  32. 32.What is the additive inverse of 1/9? (a) 9 (b) −9 (c) 1/9 (d) −1/9
  33. 33.What is the additive inverse of 2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  34. 34.Which is bigger: −5/8 or −5/7? (a) −5/8 (b) −5/7
  35. 35.Is −7/7 positive or negative? (a) Positive (b) Negative
  36. 36.Write −6/48 in standard form (lowest terms, positive denominator). (a) −6/48 (b) −8/1 (c) 1/8 (d) −1/8
  37. 37.What is the additive inverse of 3/7? (a) 3/7 (b) 7/3 (c) −7/3 (d) −3/7
  38. 38.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) 3/4 (d) −9/12
  39. 39.What is the reciprocal (multiplicative inverse) of −5/7? (a) −7/5 (b) 7/5 (c) 5/7 (d) −5/7
  40. 40.Which is bigger: −2/9 or −1/9? (a) −2/9 (b) −1/9

Answer key

  1. −7/9
  2. Positive
  3. Positive
  4. −1/5
  5. −3/8
  6. 3/7
  7. −4/3
  8. −3/4
  9. −1/6
  10. −1/3
  11. 10/7
  12. −6
  13. −2/7
  14. Positive
  15. −1/72
  16. 2
  17. −4/9
  18. 59/40
  19. 1/63
  20. 3/8
  21. 14/15
  22. 8/7
  23. −25/36
  24. 7/2
  25. 3/5
  26. −2/7
  27. −36/35
  28. −1/8
  29. −44/35
  30. Positive
  31. 4/9
  32. −1/9
  33. −2/3
  34. −5/8
  35. Negative
  36. −1/8
  37. −3/7
  38. −3/4
  39. −7/5
  40. −1/9

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