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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 177 · 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 6/4 positive or negative? (a) Negative (b) Positive
  2. 2.What is 1/9 − (−3/5)? (a) 32/45 (b) 2/7 (c) −32/45 (d) −22/45
  3. 3.Which is bigger: −7/9 or 3/8? (a) −7/9 (b) 3/8
  4. 4.Which is bigger: −4/7 or −1/7? (a) −4/7 (b) −1/7
  5. 5.What is (−1/6) + (−3/7)? (a) 25/42 (b) −25/42 (c) 11/42 (d) −4/13
  6. 6.What is 1/4 + (−1/5)? (a) −1/20 (b) 9/20 (c) 0 (d) 1/20
  7. 7.Which is smaller: −5/6 or −2/9? (a) −2/9 (b) −5/6
  8. 8.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −25/30 (b) 5/6 (c) −5/6 (d) −6/5
  9. 9.Which is bigger: −4/7 or −3/5? (a) −4/7 (b) −3/5
  10. 10.Is −1/4 positive or negative? (a) Negative (b) Positive
  11. 11.Which is bigger: −1/4 or 6/7? (a) −1/4 (b) 6/7
  12. 12.What is (−4/7) − 1/3? (a) 19/21 (b) −5/21 (c) −19/21 (d) −1/2
  13. 13.What is (−2/3) + (−1/4)? (a) −3/7 (b) −11/12 (c) 11/12 (d) −5/12
  14. 14.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) −20/32 (b) −5/8 (c) −8/5 (d) 5/8
  15. 15.Is 9/6 positive or negative? (a) Negative (b) Positive
  16. 16.Write −20/45 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −20/45 (c) −4/9 (d) −9/4
  17. 17.Is 9/9 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−2/3) − 7/9? (a) −3/4 (b) 1/9 (c) 13/9 (d) −13/9
  19. 19.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −2/8 (b) 1/4 (c) −4/1 (d) −1/4
  20. 20.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −5/3 (d) −6/10
  21. 21.What is (−2/5) − (−3/7)? (a) −1/35 (b) 1/12 (c) 1/35 (d) −29/35
  22. 22.Which is bigger: −1/5 or −1/4? (a) −1/5 (b) −1/4
  23. 23.Is −7/8 positive or negative? (a) Positive (b) Negative
  24. 24.Write −4/10 in standard form (lowest terms, positive denominator). (a) −4/10 (b) −2/5 (c) 2/5 (d) −5/2
  25. 25.Is −5/6 positive or negative? (a) Negative (b) Positive
  26. 26.Is 1/2 positive or negative? (a) Positive (b) Negative
  27. 27.Which is smaller: −7/9 or −1/2? (a) −7/9 (b) −1/2
  28. 28.Which is bigger: −3/5 or 1/3? (a) 1/3 (b) −3/5
  29. 29.What is (−1/5) − (−1/4)? (a) 0 (b) −1/20 (c) 1/20 (d) −9/20
  30. 30.What is (−7/8) + (−1/8)? (a) −3/4 (b) −1/2 (c) 1 (d) −1
  31. 31.Which is bigger: −1/8 or 5/6? (a) −1/8 (b) 5/6
  32. 32.Is −1/(−5) positive or negative? (a) Negative (b) Positive
  33. 33.Is 3/7 positive or negative? (a) Negative (b) Positive
  34. 34.Which is bigger: −3/4 or −1/8? (a) −3/4 (b) −1/8
  35. 35.What is 1/3 + (−1/8)? (a) 0 (b) 11/24 (c) 5/24 (d) −5/24
  36. 36.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/16 (c) −4/1 (d) −1/4
  37. 37.Which is smaller: −7/8 or −6/7? (a) −7/8 (b) −6/7
  38. 38.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −2/4 (c) −1/2 (d) 1/2
  39. 39.Which is smaller: −3/5 or 3/4? (a) 3/4 (b) −3/5
  40. 40.Which is smaller: −4/9 or −4/5? (a) −4/9 (b) −4/5

Answer key

  1. Positive
  2. 32/45
  3. 3/8
  4. −1/7
  5. −25/42
  6. 1/20
  7. −5/6
  8. −5/6
  9. −4/7
  10. Negative
  11. 6/7
  12. −19/21
  13. −11/12
  14. −5/8
  15. Positive
  16. −4/9
  17. Positive
  18. −13/9
  19. −1/4
  20. −3/5
  21. 1/35
  22. −1/5
  23. Negative
  24. −2/5
  25. Negative
  26. Positive
  27. −7/9
  28. 1/3
  29. 1/20
  30. −1
  31. 5/6
  32. Positive
  33. Positive
  34. −1/8
  35. 5/24
  36. −1/4
  37. −7/8
  38. −1/2
  39. −3/5
  40. −4/5

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