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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 979 · 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 the additive inverse of 3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  2. 2.What is (−3/5) + 2/7? (a) −1/12 (b) −11/35 (c) −31/35 (d) 11/35
  3. 3.What is 2/3 + (−5/7)? (a) 29/21 (b) 1/21 (c) −1/21 (d) −3/10
  4. 4.Which is smaller: −3/7 or −4/9? (a) −3/7 (b) −4/9
  5. 5.What is (−3/5) − 7/8? (a) −59/40 (b) −10/13 (c) 59/40 (d) 11/40
  6. 6.What is (−7/8) + 1/5? (a) −27/40 (b) −6/13 (c) −43/40 (d) 27/40
  7. 7.Is −1/3 positive or negative? (a) Positive (b) Negative
  8. 8.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3
  9. 9.Which is smaller: −4/9 or 3/4? (a) −4/9 (b) 3/4
  10. 10.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) −4/32 (b) −1/8 (c) −8/1 (d) 1/8
  11. 11.What is the reciprocal (multiplicative inverse) of −2/7? (a) 7/2 (b) 2/7 (c) −7/2 (d) −2/7
  12. 12.What is 5/8 + (−3/4)? (a) 11/8 (b) −1/8 (c) 1/8 (d) 1/6
  13. 13.Write −20/24 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) −20/24 (d) 5/6
  14. 14.Which is smaller: −3/8 or 3/5? (a) 3/5 (b) −3/8
  15. 15.Is 6/(−6) positive or negative? (a) Positive (b) Negative
  16. 16.What is the additive inverse of −5/9? (a) −5/9 (b) 5/9 (c) 9/5 (d) −9/5
  17. 17.Which is smaller: −2/3 or 3/4? (a) −2/3 (b) 3/4
  18. 18.What is (−2/5) + (−2/3)? (a) 4/15 (b) −16/15 (c) −1/2 (d) 16/15
  19. 19.Which is bigger: −2/3 or −3/8? (a) −2/3 (b) −3/8
  20. 20.What is the additive inverse of 4/9? (a) −9/4 (b) 4/9 (c) 9/4 (d) −4/9
  21. 21.What is (−2/9) + (−1/4)? (a) 1/36 (b) −17/36 (c) −3/13 (d) 17/36
  22. 22.What is (−3/5) + (−1/4)? (a) −7/20 (b) −17/20 (c) −4/9 (d) 17/20
  23. 23.Which is bigger: −4/9 or 7/8? (a) 7/8 (b) −4/9
  24. 24.What is (−1/6) − (−1/8)? (a) 0 (b) −7/24 (c) 1/24 (d) −1/24
  25. 25.Is −1/(−2) positive or negative? (a) Negative (b) Positive
  26. 26.Which is smaller: −2/3 or −4/9? (a) −2/3 (b) −4/9
  27. 27.What is 3/5 + (−8/9)? (a) −13/45 (b) 13/45 (c) −5/14 (d) 67/45
  28. 28.Is 6/(−4) positive or negative? (a) Negative (b) Positive
  29. 29.What is the reciprocal (multiplicative inverse) of 3/7? (a) 3/7 (b) 7/3 (c) −3/7 (d) −7/3
  30. 30.Is 7/9 positive or negative? (a) Negative (b) Positive
  31. 31.What is (−1/8) − 4/9? (a) 41/72 (b) −5/17 (c) −41/72 (d) 23/72
  32. 32.What is the reciprocal (multiplicative inverse) of −8/9? (a) 8/9 (b) 9/8 (c) −8/9 (d) −9/8
  33. 33.Is 7/(−9) positive or negative? (a) Negative (b) Positive
  34. 34.Write −10/18 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −10/18 (c) −9/5 (d) −5/9
  35. 35.Is −9/(−6) positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −5/7 or 2/5? (a) 2/5 (b) −5/7
  37. 37.Which is smaller: −1/3 or −5/8? (a) −5/8 (b) −1/3
  38. 38.What is (−8/9) + (−5/7)? (a) −13/16 (b) −11/63 (c) −101/63 (d) 101/63
  39. 39.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −35/40 (d) −7/8
  40. 40.What is (−7/8) − (−4/7)? (a) −81/56 (b) 17/56 (c) −1/5 (d) −17/56

Answer key

  1. −3/4
  2. −11/35
  3. −1/21
  4. −4/9
  5. −59/40
  6. −27/40
  7. Negative
  8. 3
  9. −4/9
  10. −1/8
  11. −7/2
  12. −1/8
  13. −5/6
  14. −3/8
  15. Negative
  16. 5/9
  17. −2/3
  18. −16/15
  19. −3/8
  20. −4/9
  21. −17/36
  22. −17/20
  23. 7/8
  24. −1/24
  25. Positive
  26. −2/3
  27. −13/45
  28. Negative
  29. 7/3
  30. Positive
  31. −41/72
  32. −9/8
  33. Negative
  34. −5/9
  35. Positive
  36. 2/5
  37. −5/8
  38. −101/63
  39. −7/8
  40. −17/56

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