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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 268 · 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 (−4/9) + (−3/8)? (a) −59/72 (b) −7/17 (c) −5/72 (d) 59/72
  2. 2.What is the additive inverse of −2/7? (a) −7/2 (b) 2/7 (c) −2/7 (d) 7/2
  3. 3.Which is bigger: −1/3 or 3/7? (a) 3/7 (b) −1/3
  4. 4.Is 1/(−4) positive or negative? (a) Negative (b) Positive
  5. 5.Write −10/18 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −10/18 (d) −5/9
  6. 6.What is (−5/8) − (−1/6)? (a) −2/7 (b) −19/24 (c) 11/24 (d) −11/24
  7. 7.What is 7/9 − (−4/9)? (a) 11/9 (b) −11/9 (c) 1/3 (d) 11/18
  8. 8.Which is bigger: −3/4 or −1/2? (a) −3/4 (b) −1/2
  9. 9.Is −8/(−6) positive or negative? (a) Negative (b) Positive
  10. 10.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −12/21 (b) 4/7 (c) −4/7 (d) −7/4
  11. 11.Write −14/16 in standard form (lowest terms, positive denominator). (a) −7/8 (b) −14/16 (c) −8/7 (d) 7/8
  12. 12.Which is bigger: −3/7 or 7/8? (a) −3/7 (b) 7/8
  13. 13.What is the additive inverse of 1/4? (a) 1/4 (b) −1/4 (c) 4 (d) −4
  14. 14.What is the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) 3/8 (c) −8/3 (d) −3/8
  15. 15.What is the additive inverse of 5/8? (a) 5/8 (b) −5/8 (c) −8/5 (d) 8/5
  16. 16.Is 5/3 positive or negative? (a) Negative (b) Positive
  17. 17.What is (−3/8) + (−3/4)? (a) −1/2 (b) −9/8 (c) 3/8 (d) 9/8
  18. 18.Is −5/6 positive or negative? (a) Positive (b) Negative
  19. 19.What is 6/7 + (−1/5)? (a) −23/35 (b) 23/35 (c) 37/35 (d) 5/12
  20. 20.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −8/18 (b) −4/9 (c) −9/4 (d) 4/9
  21. 21.What is the reciprocal (multiplicative inverse) of 5/7? (a) −5/7 (b) −7/5 (c) 7/5 (d) 5/7
  22. 22.What is the additive inverse of −1/5? (a) 5 (b) 1/5 (c) −5 (d) −1/5
  23. 23.Is 7/(−3) positive or negative? (a) Positive (b) Negative
  24. 24.What is (−2/9) + 1/7? (a) 5/63 (b) −5/63 (c) −23/63 (d) −1/16
  25. 25.What is (−7/9) + 1/5? (a) −3/7 (b) −26/45 (c) −44/45 (d) 26/45
  26. 26.What is (−3/5) + 8/9? (a) −13/45 (b) −67/45 (c) 13/45 (d) 5/14
  27. 27.What is (−5/7) − 7/8? (a) −4/5 (b) −89/56 (c) 89/56 (d) 9/56
  28. 28.What is (−3/4) + (−7/9)? (a) 1/36 (b) −10/13 (c) −55/36 (d) 55/36
  29. 29.Which is smaller: −2/3 or 1/3? (a) 1/3 (b) −2/3
  30. 30.What is (−4/7) + (−4/5)? (a) 48/35 (b) −48/35 (c) 8/35 (d) −2/3
  31. 31.What is the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) 1/8 (c) 8 (d) −8
  32. 32.Is −8/(−5) positive or negative? (a) Negative (b) Positive
  33. 33.Is −2/(−7) positive or negative? (a) Positive (b) Negative
  34. 34.What is (−3/8) + 1/3? (a) −2/11 (b) 1/24 (c) −17/24 (d) −1/24
  35. 35.What is (−1/7) − (−7/9)? (a) 3/8 (b) 40/63 (c) −58/63 (d) −40/63
  36. 36.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/4 (b) −2/1 (c) −1/2 (d) 1/2
  37. 37.What is the reciprocal (multiplicative inverse) of 5/8? (a) 8/5 (b) −5/8 (c) −8/5 (d) 5/8
  38. 38.Is 9/(−3) positive or negative? (a) Negative (b) Positive
  39. 39.What is 1/6 − (−2/3)? (a) 1/3 (b) −1/2 (c) −5/6 (d) 5/6
  40. 40.What is the reciprocal (multiplicative inverse) of −1/7? (a) 1/7 (b) −1/7 (c) 7 (d) −7

Answer key

  1. −59/72
  2. 2/7
  3. 3/7
  4. Negative
  5. −5/9
  6. −11/24
  7. 11/9
  8. −1/2
  9. Positive
  10. −4/7
  11. −7/8
  12. 7/8
  13. −1/4
  14. −8/3
  15. −5/8
  16. Positive
  17. −9/8
  18. Negative
  19. 23/35
  20. −4/9
  21. 7/5
  22. 1/5
  23. Negative
  24. −5/63
  25. −26/45
  26. 13/45
  27. −89/56
  28. −55/36
  29. −2/3
  30. −48/35
  31. 8
  32. Positive
  33. Positive
  34. −1/24
  35. 40/63
  36. −1/2
  37. 8/5
  38. Negative
  39. 5/6
  40. −7

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