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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 650 · 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 7/9 − (−6/7)? (a) −5/63 (b) −103/63 (c) 13/16 (d) 103/63
  2. 2.Is 3/8 positive or negative? (a) Positive (b) Negative
  3. 3.Which is bigger: −1/9 or −7/8? (a) −1/9 (b) −7/8
  4. 4.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) −2/9 (c) −9/2 (d) 9/2
  5. 5.Is 1/4 positive or negative? (a) Positive (b) Negative
  6. 6.Write −20/45 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) 4/9 (d) −20/45
  7. 7.Which is smaller: −2/3 or 5/7? (a) −2/3 (b) 5/7
  8. 8.What is 3/5 − (−5/9)? (a) 52/45 (b) 4/7 (c) 2/45 (d) −52/45
  9. 9.What is 7/9 + (−2/9)? (a) 5/18 (b) 5/9 (c) −5/9 (d) 1
  10. 10.Write −10/15 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −2/3 (d) −10/15
  11. 11.What is the additive inverse of 2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
  12. 12.Which is bigger: −1/3 or 3/8? (a) −1/3 (b) 3/8
  13. 13.What is the additive inverse of −3/7? (a) 7/3 (b) −7/3 (c) 3/7 (d) −3/7
  14. 14.What is (−4/5) + (−1/4)? (a) −11/20 (b) 21/20 (c) −5/9 (d) −21/20
  15. 15.What is (−3/4) + 3/7? (a) −33/28 (b) 9/28 (c) −9/28 (d) 0
  16. 16.Is 6/4 positive or negative? (a) Positive (b) Negative
  17. 17.Is 3/6 positive or negative? (a) Negative (b) Positive
  18. 18.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  19. 19.What is the reciprocal (multiplicative inverse) of 1/8? (a) 8 (b) 1/8 (c) −1/8 (d) −8
  20. 20.Write −6/24 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −6/24 (d) −1/4
  21. 21.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) −4/3 (c) 3/4 (d) 4/3
  22. 22.Which is bigger: −2/5 or −6/7? (a) −6/7 (b) −2/5
  23. 23.What is the additive inverse of −6/7? (a) 6/7 (b) −6/7 (c) −7/6 (d) 7/6
  24. 24.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) −7/3 (c) 7/3 (d) −3/7
  25. 25.What is (−3/8) − 3/4? (a) −9/8 (b) 9/8 (c) 3/8 (d) −1/2
  26. 26.Which is smaller: −1/9 or −5/7? (a) −5/7 (b) −1/9
  27. 27.Write −24/28 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −24/28 (d) −6/7
  28. 28.Write −5/15 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −5/15 (c) −1/3 (d) −3/1
  29. 29.What is 4/7 + (−5/7)? (a) −1/14 (b) −1/7 (c) 9/7 (d) 1/7
  30. 30.Is −5/5 positive or negative? (a) Negative (b) Positive
  31. 31.Which is bigger: −5/9 or −5/6? (a) −5/9 (b) −5/6
  32. 32.Write −3/21 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −3/21 (c) −1/7 (d) −7/1
  33. 33.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) −3/5 (c) 5/3 (d) −5/3
  34. 34.Which is bigger: −6/7 or −2/7? (a) −6/7 (b) −2/7
  35. 35.Is 1/(−5) positive or negative? (a) Positive (b) Negative
  36. 36.What is the additive inverse of 1/2? (a) 1/2 (b) 2 (c) −1/2 (d) −2
  37. 37.What is the additive inverse of 8/9? (a) 9/8 (b) −8/9 (c) −9/8 (d) 8/9
  38. 38.What is the reciprocal (multiplicative inverse) of 4/7? (a) 4/7 (b) −7/4 (c) −4/7 (d) 7/4
  39. 39.What is 5/8 − (−1/9)? (a) 37/72 (b) 53/72 (c) 6/17 (d) −53/72
  40. 40.Which is bigger: −1/4 or −1/3? (a) −1/3 (b) −1/4

Answer key

  1. 103/63
  2. Positive
  3. −1/9
  4. 9/2
  5. Positive
  6. −4/9
  7. −2/3
  8. 52/45
  9. 5/9
  10. −2/3
  11. −2/9
  12. 3/8
  13. 3/7
  14. −21/20
  15. −9/28
  16. Positive
  17. Positive
  18. 5/2
  19. 8
  20. −1/4
  21. −4/3
  22. −2/5
  23. 6/7
  24. −7/3
  25. −9/8
  26. −5/7
  27. −6/7
  28. −1/3
  29. −1/7
  30. Negative
  31. −5/9
  32. −1/7
  33. −5/3
  34. −2/7
  35. Negative
  36. −1/2
  37. −8/9
  38. 7/4
  39. 53/72
  40. −1/4

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