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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 868 · 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/(−9) positive or negative? (a) Positive (b) Negative
  2. 2.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) −2/12 (d) 1/6
  3. 3.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) −8/7 (c) −7/8 (d) 8/7
  4. 4.Write −21/24 in standard form (lowest terms, positive denominator). (a) −7/8 (b) 7/8 (c) −21/24 (d) −8/7
  5. 5.Is 3/(−6) positive or negative? (a) Negative (b) Positive
  6. 6.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −4/32 (d) −1/8
  7. 7.Which is smaller: −7/9 or −2/5? (a) −7/9 (b) −2/5
  8. 8.What is (−1/8) + 2/7? (a) −9/56 (b) 9/56 (c) 1/15 (d) −23/56
  9. 9.Write −21/27 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −21/27 (c) −7/9 (d) −9/7
  10. 10.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) 4/7 (c) −7/4 (d) 7/4
  11. 11.What is (−3/4) − (−1/3)? (a) −2/7 (b) −13/12 (c) 5/12 (d) −5/12
  12. 12.Is 3/7 positive or negative? (a) Positive (b) Negative
  13. 13.What is 1/6 − (−5/7)? (a) −37/42 (b) −23/42 (c) 37/42 (d) 6/13
  14. 14.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  15. 15.What is the reciprocal (multiplicative inverse) of −5/9? (a) −5/9 (b) 9/5 (c) 5/9 (d) −9/5
  16. 16.What is 4/9 − (−6/7)? (a) −82/63 (b) 5/8 (c) 82/63 (d) −26/63
  17. 17.Is 7/9 positive or negative? (a) Negative (b) Positive
  18. 18.What is the reciprocal (multiplicative inverse) of 2/5? (a) 5/2 (b) −5/2 (c) −2/5 (d) 2/5
  19. 19.What is the additive inverse of 1/5? (a) 1/5 (b) −1/5 (c) 5 (d) −5
  20. 20.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −6/16 (c) 3/8 (d) −8/3
  21. 21.What is the additive inverse of −1/6? (a) 1/6 (b) −6 (c) 6 (d) −1/6
  22. 22.What is 1/4 + (−2/5)? (a) −3/20 (b) 13/20 (c) −1/9 (d) 3/20
  23. 23.Write −12/14 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −12/14 (d) −6/7
  24. 24.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −32/36 (d) −8/9
  25. 25.What is the additive inverse of 2/5? (a) 2/5 (b) 5/2 (c) −2/5 (d) −5/2
  26. 26.Is 2/3 positive or negative? (a) Negative (b) Positive
  27. 27.What is (−5/7) − (−6/7)? (a) 1/7 (b) −1/7 (c) 1/14 (d) −11/7
  28. 28.Which is bigger: −2/7 or 3/8? (a) 3/8 (b) −2/7
  29. 29.Which is smaller: −1/8 or −2/5? (a) −1/8 (b) −2/5
  30. 30.What is the reciprocal (multiplicative inverse) of −1/5? (a) 5 (b) −1/5 (c) −5 (d) 1/5
  31. 31.What is (−3/7) − 4/5? (a) −7/12 (b) 13/35 (c) −43/35 (d) 43/35
  32. 32.Which is smaller: −2/7 or −3/7? (a) −3/7 (b) −2/7
  33. 33.Which is smaller: −5/6 or −4/7? (a) −5/6 (b) −4/7
  34. 34.What is (−2/5) + (−1/8)? (a) −3/13 (b) −21/40 (c) 21/40 (d) −11/40
  35. 35.Which is bigger: −6/7 or 1/3? (a) 1/3 (b) −6/7
  36. 36.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −7/8 (b) −35/40 (c) −8/7 (d) 7/8
  37. 37.What is (−2/3) − (−4/5)? (a) 1/4 (b) 2/15 (c) −22/15 (d) −2/15
  38. 38.What is the additive inverse of 4/7? (a) 7/4 (b) −7/4 (c) 4/7 (d) −4/7
  39. 39.Is 1/(−8) positive or negative? (a) Negative (b) Positive
  40. 40.Is 6/6 positive or negative? (a) Negative (b) Positive

Answer key

  1. Positive
  2. −1/6
  3. 8/7
  4. −7/8
  5. Negative
  6. −1/8
  7. −7/9
  8. 9/56
  9. −7/9
  10. 7/4
  11. −5/12
  12. Positive
  13. 37/42
  14. 7
  15. −9/5
  16. 82/63
  17. Positive
  18. 5/2
  19. −1/5
  20. −3/8
  21. 1/6
  22. −3/20
  23. −6/7
  24. −8/9
  25. −2/5
  26. Positive
  27. 1/7
  28. 3/8
  29. −2/5
  30. −5
  31. −43/35
  32. −3/7
  33. −5/6
  34. −21/40
  35. 1/3
  36. −7/8
  37. 2/15
  38. −4/7
  39. Negative
  40. Positive

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