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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 548 · 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 7/(−4) positive or negative? (a) Positive (b) Negative
  2. 2.Write −35/45 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −35/45 (c) −7/9 (d) 7/9
  3. 3.What is 1/5 + (−4/5)? (a) 1 (b) −3/10 (c) 3/5 (d) −3/5
  4. 4.Is −2/4 positive or negative? (a) Negative (b) Positive
  5. 5.What is 8/9 − (−2/7)? (a) 38/63 (b) 5/8 (c) −74/63 (d) 74/63
  6. 6.What is (−1/4) − (−1/7)? (a) −11/28 (b) 3/28 (c) −3/28 (d) 0
  7. 7.What is (−5/9) + 8/9? (a) −1/3 (b) 1/6 (c) 1/3 (d) −13/9
  8. 8.What is 4/9 + (−2/9)? (a) 1/9 (b) −2/9 (c) 2/3 (d) 2/9
  9. 9.What is (−4/7) − 5/7? (a) 9/7 (b) 1/7 (c) −9/14 (d) −9/7
  10. 10.What is 3/5 + (−4/7)? (a) 41/35 (b) 1/35 (c) −1/35 (d) −1/12
  11. 11.What is the additive inverse of 4/9? (a) 4/9 (b) −4/9 (c) −9/4 (d) 9/4
  12. 12.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −18/24 (d) −3/4
  13. 13.What is the additive inverse of 1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  14. 14.Which is bigger: −5/9 or 3/5? (a) 3/5 (b) −5/9
  15. 15.Which is bigger: −1/6 or −3/4? (a) −3/4 (b) −1/6
  16. 16.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −12/14 (c) −6/7 (d) 6/7
  17. 17.What is (−3/8) + 1/9? (a) −35/72 (b) −19/72 (c) 19/72 (d) −2/17
  18. 18.What is 3/5 − (−2/3)? (a) 5/8 (b) 19/15 (c) −1/15 (d) −19/15
  19. 19.What is (−3/8) − (−5/6)? (a) −11/24 (b) 11/24 (c) −29/24 (d) 1/7
  20. 20.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  21. 21.Which is smaller: −8/9 or −3/7? (a) −3/7 (b) −8/9
  22. 22.What is the additive inverse of −1/9? (a) −1/9 (b) 1/9 (c) −9 (d) 9
  23. 23.Which is smaller: −4/5 or −3/5? (a) −3/5 (b) −4/5
  24. 24.Which is smaller: −5/6 or −2/9? (a) −2/9 (b) −5/6
  25. 25.What is (−4/7) + 1/9? (a) 29/63 (b) −3/16 (c) −43/63 (d) −29/63
  26. 26.What is (−1/3) + 1/2? (a) −1/6 (b) −5/6 (c) 0 (d) 1/6
  27. 27.Which is smaller: −1/4 or 1/6? (a) 1/6 (b) −1/4
  28. 28.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −5/3 (d) −15/25
  29. 29.Which is smaller: −1/9 or −2/3? (a) −2/3 (b) −1/9
  30. 30.What is (−1/4) − 2/3? (a) 11/12 (b) 5/12 (c) −11/12 (d) −3/7
  31. 31.Which is bigger: −1/5 or 6/7? (a) 6/7 (b) −1/5
  32. 32.What is (−5/9) + 5/9? (a) −10/9 (b) 0
  33. 33.What is (−1/6) + (−1/4)? (a) 5/12 (b) 1/12 (c) −1/5 (d) −5/12
  34. 34.What is (−1/2) − 2/7? (a) −11/14 (b) −3/14 (c) −1/3 (d) 11/14
  35. 35.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 7/6 (c) −7/6 (d) 6/7
  36. 36.Is −7/8 positive or negative? (a) Positive (b) Negative
  37. 37.Is −2/(−5) positive or negative? (a) Positive (b) Negative
  38. 38.What is (−1/4) + (−7/8)? (a) 9/8 (b) 5/8 (c) −2/3 (d) −9/8
  39. 39.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −4/24 (b) −6/1 (c) −1/6 (d) 1/6
  40. 40.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −2/18 (b) 1/9 (c) −9/1 (d) −1/9

Answer key

  1. Negative
  2. −7/9
  3. −3/5
  4. Negative
  5. 74/63
  6. −3/28
  7. 1/3
  8. 2/9
  9. −9/7
  10. 1/35
  11. −4/9
  12. −3/4
  13. −1/2
  14. 3/5
  15. −1/6
  16. −6/7
  17. −19/72
  18. 19/15
  19. 11/24
  20. Negative
  21. −8/9
  22. 1/9
  23. −4/5
  24. −5/6
  25. −29/63
  26. 1/6
  27. −1/4
  28. −3/5
  29. −2/3
  30. −11/12
  31. 6/7
  32. 0
  33. −5/12
  34. −11/14
  35. −7/6
  36. Negative
  37. Positive
  38. −9/8
  39. −1/6
  40. −1/9

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