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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 999 · 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 (−1/7) + (−1/8)? (a) −2/15 (b) −15/56 (c) 15/56 (d) −1/56
  2. 2.Write −6/18 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −6/18 (c) −1/3 (d) −3/1
  3. 3.What is (−7/8) − 2/5? (a) 51/40 (b) −19/40 (c) −9/13 (d) −51/40
  4. 4.Write −6/12 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −6/12 (d) −2/1
  5. 5.What is (−2/5) + 3/4? (a) −7/20 (b) 1/9 (c) 7/20 (d) −23/20
  6. 6.Is 3/5 positive or negative? (a) Negative (b) Positive
  7. 7.Which is bigger: −1/7 or −2/9? (a) −1/7 (b) −2/9
  8. 8.Which is bigger: −8/9 or −1/5? (a) −8/9 (b) −1/5
  9. 9.Which is smaller: −2/3 or −1/8? (a) −2/3 (b) −1/8
  10. 10.Which is smaller: −1/5 or −7/9? (a) −7/9 (b) −1/5
  11. 11.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −30/48 (c) −5/8 (d) −8/5
  12. 12.Is −7/3 positive or negative? (a) Positive (b) Negative
  13. 13.Which is smaller: −5/6 or −3/5? (a) −3/5 (b) −5/6
  14. 14.Which is bigger: −4/5 or −2/3? (a) −2/3 (b) −4/5
  15. 15.Which is bigger: −3/5 or 1/4? (a) 1/4 (b) −3/5
  16. 16.What is the additive inverse of −2/9? (a) −9/2 (b) −2/9 (c) 2/9 (d) 9/2
  17. 17.Which is smaller: −2/3 or 2/5? (a) −2/3 (b) 2/5
  18. 18.Which is smaller: −4/7 or −8/9? (a) −8/9 (b) −4/7
  19. 19.Is 6/8 positive or negative? (a) Positive (b) Negative
  20. 20.Is 1/(−6) positive or negative? (a) Negative (b) Positive
  21. 21.Is 8/9 positive or negative? (a) Positive (b) Negative
  22. 22.What is the reciprocal (multiplicative inverse) of −4/7? (a) 7/4 (b) −4/7 (c) 4/7 (d) −7/4
  23. 23.Which is smaller: −5/6 or −1/7? (a) −5/6 (b) −1/7
  24. 24.What is (−2/3) − 8/9? (a) 14/9 (b) −14/9 (c) −5/6 (d) 2/9
  25. 25.What is (−1/9) + (−3/8)? (a) −35/72 (b) −4/17 (c) 19/72 (d) 35/72
  26. 26.Is −2/2 positive or negative? (a) Negative (b) Positive
  27. 27.What is 5/9 − (−4/7)? (a) 9/16 (b) −1/63 (c) −71/63 (d) 71/63
  28. 28.Write −24/54 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −24/54 (d) −4/9
  29. 29.Is 5/(−2) positive or negative? (a) Negative (b) Positive
  30. 30.Is −4/4 positive or negative? (a) Negative (b) Positive
  31. 31.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −5/15 (b) −1/3 (c) 1/3 (d) −3/1
  32. 32.What is 4/9 + (−3/4)? (a) 43/36 (b) −11/36 (c) 1/13 (d) 11/36
  33. 33.What is (−3/8) − (−2/5)? (a) −1/40 (b) −31/40 (c) −1/13 (d) 1/40
  34. 34.What is (−3/5) − 1/4? (a) −7/20 (b) 17/20 (c) −4/9 (d) −17/20
  35. 35.What is the reciprocal (multiplicative inverse) of −8/9? (a) −8/9 (b) −9/8 (c) 8/9 (d) 9/8
  36. 36.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 2/3 (c) −3/2 (d) 3/2
  37. 37.What is 1/4 + (−1/4)? (a) 1/2 (b) 0
  38. 38.Is 5/(−3) positive or negative? (a) Positive (b) Negative
  39. 39.What is the additive inverse of 5/7? (a) 7/5 (b) 5/7 (c) −5/7 (d) −7/5
  40. 40.Which is bigger: −6/7 or −1/6? (a) −1/6 (b) −6/7

Answer key

  1. −15/56
  2. −1/3
  3. −51/40
  4. −1/2
  5. 7/20
  6. Positive
  7. −1/7
  8. −1/5
  9. −2/3
  10. −7/9
  11. −5/8
  12. Negative
  13. −5/6
  14. −2/3
  15. 1/4
  16. 2/9
  17. −2/3
  18. −8/9
  19. Positive
  20. Negative
  21. Positive
  22. −7/4
  23. −5/6
  24. −14/9
  25. −35/72
  26. Negative
  27. 71/63
  28. −4/9
  29. Negative
  30. Negative
  31. −1/3
  32. −11/36
  33. 1/40
  34. −17/20
  35. −9/8
  36. 3/2
  37. 0
  38. Negative
  39. −5/7
  40. −1/6

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