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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 467 · 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.Write −4/16 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/16 (c) 1/4 (d) −4/1
  2. 2.Write −6/36 in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −6/36 (d) −1/6
  3. 3.Is 9/(−5) positive or negative? (a) Positive (b) Negative
  4. 4.Which is bigger: −1/3 or −2/3? (a) −1/3 (b) −2/3
  5. 5.Which is smaller: −5/8 or −1/4? (a) −1/4 (b) −5/8
  6. 6.Which is smaller: −5/6 or 7/9? (a) −5/6 (b) 7/9
  7. 7.What is 3/5 − (−4/5)? (a) 7/10 (b) −7/5 (c) −1/5 (d) 7/5
  8. 8.Which is bigger: −1/2 or −8/9? (a) −8/9 (b) −1/2
  9. 9.Which is bigger: −7/9 or 3/5? (a) 3/5 (b) −7/9
  10. 10.What is (−1/9) − (−1/5)? (a) −4/45 (b) −14/45 (c) 4/45 (d) 0
  11. 11.What is (−1/9) − 3/5? (a) −32/45 (b) 32/45 (c) 22/45 (d) −2/7
  12. 12.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −3/9 (d) −1/3
  13. 13.Is 2/(−3) positive or negative? (a) Positive (b) Negative
  14. 14.Is −5/2 positive or negative? (a) Negative (b) Positive
  15. 15.What is 2/5 − (−5/9)? (a) −7/45 (b) 43/45 (c) 1/2 (d) −43/45
  16. 16.Is 9/3 positive or negative? (a) Negative (b) Positive
  17. 17.What is (−5/7) − 1/7? (a) −3/7 (b) 6/7 (c) −6/7 (d) −4/7
  18. 18.Which is smaller: −1/2 or −4/7? (a) −1/2 (b) −4/7
  19. 19.Which is smaller: −4/5 or −1/3? (a) −4/5 (b) −1/3
  20. 20.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −7/8 (d) −28/32
  21. 21.What is the additive inverse of −2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  22. 22.What is the additive inverse of 3/5? (a) −3/5 (b) 3/5 (c) 5/3 (d) −5/3
  23. 23.What is the additive inverse of −4/5? (a) −5/4 (b) −4/5 (c) 4/5 (d) 5/4
  24. 24.Write −16/36 in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −4/9 (d) −16/36
  25. 25.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −3/2 (d) −8/12
  26. 26.What is (−2/3) − 1/4? (a) −5/12 (b) −3/7 (c) 11/12 (d) −11/12
  27. 27.Which is smaller: −3/7 or −7/9? (a) −3/7 (b) −7/9
  28. 28.Write −12/28 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −12/28 (d) −3/7
  29. 29.What is the reciprocal (multiplicative inverse) of −2/5? (a) −2/5 (b) 2/5 (c) −5/2 (d) 5/2
  30. 30.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −2/10 (d) −1/5
  31. 31.Which is smaller: −1/3 or 1/9? (a) −1/3 (b) 1/9
  32. 32.What is 1/8 + (−1/9)? (a) 1/72 (b) 17/72 (c) 0 (d) −1/72
  33. 33.Write −6/18 in standard form (lowest terms, positive denominator). (a) −6/18 (b) 1/3 (c) −1/3 (d) −3/1
  34. 34.What is the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) 9/8 (c) −9/8 (d) −8/9
  35. 35.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) 3/2 (c) 2/3 (d) −3/2
  36. 36.What is (−2/3) + (−1/7)? (a) −17/21 (b) −11/21 (c) −3/10 (d) 17/21
  37. 37.Is −1/(−2) positive or negative? (a) Positive (b) Negative
  38. 38.Write −4/36 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −1/9 (c) −4/36 (d) −9/1
  39. 39.What is (−2/5) + 8/9? (a) 3/7 (b) 22/45 (c) −58/45 (d) −22/45
  40. 40.Which is smaller: −5/8 or −6/7? (a) −5/8 (b) −6/7

Answer key

  1. −1/4
  2. −1/6
  3. Negative
  4. −1/3
  5. −5/8
  6. −5/6
  7. 7/5
  8. −1/2
  9. 3/5
  10. 4/45
  11. −32/45
  12. −1/3
  13. Negative
  14. Negative
  15. 43/45
  16. Positive
  17. −6/7
  18. −4/7
  19. −4/5
  20. −7/8
  21. 2/7
  22. −3/5
  23. 4/5
  24. −4/9
  25. −2/3
  26. −11/12
  27. −7/9
  28. −3/7
  29. −5/2
  30. −1/5
  31. −1/3
  32. 1/72
  33. −1/3
  34. 9/8
  35. −3/2
  36. −17/21
  37. Positive
  38. −1/9
  39. 22/45
  40. −6/7

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