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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 555 · 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 9/3 positive or negative? (a) Positive (b) Negative
  2. 2.Is 4/9 positive or negative? (a) Positive (b) Negative
  3. 3.Write −25/35 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −25/35 (c) −7/5 (d) 5/7
  4. 4.What is (−1/2) + (−7/8)? (a) 11/8 (b) 3/8 (c) −4/5 (d) −11/8
  5. 5.Which is smaller: −2/7 or −7/9? (a) −2/7 (b) −7/9
  6. 6.Which is smaller: −1/9 or −6/7? (a) −1/9 (b) −6/7
  7. 7.Write −15/25 in standard form (lowest terms, positive denominator). (a) −15/25 (b) 3/5 (c) −5/3 (d) −3/5
  8. 8.Which is bigger: −3/8 or 2/5? (a) −3/8 (b) 2/5
  9. 9.What is (−5/9) + (−3/5)? (a) 52/45 (b) −4/7 (c) 2/45 (d) −52/45
  10. 10.Write −21/27 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −21/27 (d) −9/7
  11. 11.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) 8 (c) −8 (d) −1/8
  12. 12.Is 2/7 positive or negative? (a) Negative (b) Positive
  13. 13.Which is bigger: −3/4 or −1/7? (a) −1/7 (b) −3/4
  14. 14.What is 1/2 − (−1/5)? (a) 3/10 (b) 7/10 (c) 2/7 (d) −7/10
  15. 15.Which is smaller: −1/5 or 1/4? (a) −1/5 (b) 1/4
  16. 16.Write 15/(−40) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −3/8 (c) −15/40 (d) 3/8
  17. 17.What is the additive inverse of 2/9? (a) 9/2 (b) −9/2 (c) 2/9 (d) −2/9
  18. 18.Which is smaller: −1/5 or 1/6? (a) 1/6 (b) −1/5
  19. 19.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −1/7 (b) −5/35 (c) 1/7 (d) −7/1
  20. 20.Which is bigger: −8/9 or −2/3? (a) −8/9 (b) −2/3
  21. 21.What is (−7/8) + 6/7? (a) −97/56 (b) −1/56 (c) −1/15 (d) 1/56
  22. 22.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) −16/36 (b) −9/4 (c) 4/9 (d) −4/9
  23. 23.What is (−5/9) − 2/7? (a) −17/63 (b) −53/63 (c) 53/63 (d) −7/16
  24. 24.What is (−5/9) + 4/9? (a) −1/9 (b) 1/9 (c) −1 (d) −1/18
  25. 25.What is the additive inverse of 2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  26. 26.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) −3 (c) −1/3 (d) 1/3
  27. 27.What is (−1/4) + 1/6? (a) 1/12 (b) 0 (c) −1/12 (d) −5/12
  28. 28.Is 6/(−7) positive or negative? (a) Positive (b) Negative
  29. 29.Write −16/18 in standard form (lowest terms, positive denominator). (a) −16/18 (b) −9/8 (c) −8/9 (d) 8/9
  30. 30.Which is smaller: −1/8 or −4/7? (a) −4/7 (b) −1/8
  31. 31.Is 8/(−7) positive or negative? (a) Positive (b) Negative
  32. 32.Which is smaller: −1/5 or −4/9? (a) −4/9 (b) −1/5
  33. 33.Which is bigger: −7/9 or −1/2? (a) −7/9 (b) −1/2
  34. 34.Is 1/7 positive or negative? (a) Positive (b) Negative
  35. 35.Is −2/(−8) positive or negative? (a) Negative (b) Positive
  36. 36.Which is smaller: −1/9 or −3/7? (a) −1/9 (b) −3/7
  37. 37.Which is smaller: −8/9 or 1/6? (a) −8/9 (b) 1/6
  38. 38.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −4/9 (b) −12/27 (c) 4/9 (d) −9/4
  39. 39.What is (−4/9) − 5/7? (a) −9/16 (b) −73/63 (c) 73/63 (d) 17/63
  40. 40.What is 3/7 + (−3/4)? (a) 0 (b) 9/28 (c) −9/28 (d) 33/28

Answer key

  1. Positive
  2. Positive
  3. −5/7
  4. −11/8
  5. −7/9
  6. −6/7
  7. −3/5
  8. 2/5
  9. −52/45
  10. −7/9
  11. 8
  12. Positive
  13. −1/7
  14. 7/10
  15. −1/5
  16. −3/8
  17. −2/9
  18. −1/5
  19. −1/7
  20. −2/3
  21. −1/56
  22. −4/9
  23. −53/63
  24. −1/9
  25. −2/7
  26. −3
  27. −1/12
  28. Negative
  29. −8/9
  30. −4/7
  31. Negative
  32. −4/9
  33. −1/2
  34. Positive
  35. Positive
  36. −3/7
  37. −8/9
  38. −4/9
  39. −73/63
  40. −9/28

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