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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 380 · 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 −5/3 positive or negative? (a) Positive (b) Negative
  2. 2.Write −10/15 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) 2/3 (d) −10/15
  3. 3.What is (−4/5) + 3/5? (a) 1/5 (b) −1/5 (c) −1/10 (d) −7/5
  4. 4.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −4/14 (d) −7/2
  5. 5.Which is bigger: −5/8 or −5/6? (a) −5/6 (b) −5/8
  6. 6.What is 5/8 − (−1/5)? (a) 17/40 (b) 33/40 (c) 6/13 (d) −33/40
  7. 7.What is the additive inverse of 7/8? (a) 7/8 (b) −8/7 (c) −7/8 (d) 8/7
  8. 8.What is (−3/7) − 4/9? (a) 55/63 (b) 1/63 (c) −7/16 (d) −55/63
  9. 9.Is 7/(−4) positive or negative? (a) Positive (b) Negative
  10. 10.Is 3/9 positive or negative? (a) Negative (b) Positive
  11. 11.Which is bigger: −1/9 or −5/7? (a) −5/7 (b) −1/9
  12. 12.Write −5/20 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) 1/4 (d) −5/20
  13. 13.What is the additive inverse of 1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5
  14. 14.What is 2/9 − (−1/5)? (a) 1/45 (b) 3/14 (c) 19/45 (d) −19/45
  15. 15.What is (−2/5) + (−5/9)? (a) −1/2 (b) −43/45 (c) 43/45 (d) 7/45
  16. 16.Which is bigger: −1/9 or −2/3? (a) −2/3 (b) −1/9
  17. 17.Write −6/18 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) 1/3 (d) −6/18
  18. 18.What is (−1/9) + 5/9? (a) 2/9 (b) −4/9 (c) 4/9 (d) −2/3
  19. 19.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −8/10 (d) −4/5
  20. 20.What is the additive inverse of 5/8? (a) 8/5 (b) −8/5 (c) −5/8 (d) 5/8
  21. 21.What is 1/4 + (−5/9)? (a) 11/36 (b) 29/36 (c) −4/13 (d) −11/36
  22. 22.Which is bigger: −2/3 or 5/7? (a) −2/3 (b) 5/7
  23. 23.Is −6/4 positive or negative? (a) Negative (b) Positive
  24. 24.Which is bigger: −1/7 or −7/8? (a) −7/8 (b) −1/7
  25. 25.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −1/2 (d) −4/8
  26. 26.Is 4/8 positive or negative? (a) Positive (b) Negative
  27. 27.Is −8/9 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−3/4) + (−4/7)? (a) −37/28 (b) −7/11 (c) 37/28 (d) −5/28
  29. 29.Write −6/9 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −6/9 (c) −2/3 (d) −3/2
  30. 30.Write −6/14 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −6/14 (c) 3/7 (d) −7/3
  31. 31.Is 5/7 positive or negative? (a) Negative (b) Positive
  32. 32.What is 1/7 − (−2/3)? (a) −17/21 (b) 17/21 (c) 3/10 (d) −11/21
  33. 33.What is 1/6 − (−5/8)? (a) −11/24 (b) 19/24 (c) −19/24 (d) 3/7
  34. 34.Which is bigger: −5/8 or −5/9? (a) −5/8 (b) −5/9
  35. 35.Which is bigger: −5/7 or −5/6? (a) −5/6 (b) −5/7
  36. 36.Which is smaller: −2/3 or −1/5? (a) −1/5 (b) −2/3
  37. 37.Is 9/(−4) positive or negative? (a) Negative (b) Positive
  38. 38.What is the additive inverse of −2/7? (a) 7/2 (b) −7/2 (c) 2/7 (d) −2/7
  39. 39.Which is smaller: −5/8 or −2/5? (a) −2/5 (b) −5/8
  40. 40.What is the additive inverse of −8/9? (a) 9/8 (b) −9/8 (c) −8/9 (d) 8/9

Answer key

  1. Negative
  2. −2/3
  3. −1/5
  4. −2/7
  5. −5/8
  6. 33/40
  7. −7/8
  8. −55/63
  9. Negative
  10. Positive
  11. −1/9
  12. −1/4
  13. −1/5
  14. 19/45
  15. −43/45
  16. −1/9
  17. −1/3
  18. 4/9
  19. −4/5
  20. −5/8
  21. −11/36
  22. 5/7
  23. Negative
  24. −1/7
  25. −1/2
  26. Positive
  27. Negative
  28. −37/28
  29. −2/3
  30. −3/7
  31. Positive
  32. 17/21
  33. 19/24
  34. −5/9
  35. −5/7
  36. −2/3
  37. Negative
  38. 2/7
  39. −5/8
  40. 8/9

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