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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 207 · 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.Which is bigger: −1/4 or −6/7? (a) −1/4 (b) −6/7
  2. 2.What is 4/9 + (−5/7)? (a) −1/16 (b) 17/63 (c) −17/63 (d) 73/63
  3. 3.What is the additive inverse of −2/7? (a) 2/7 (b) 7/2 (c) −2/7 (d) −7/2
  4. 4.What is (−3/7) − 6/7? (a) 9/7 (b) −9/14 (c) −9/7 (d) 3/7
  5. 5.What is the additive inverse of 5/6? (a) 6/5 (b) 5/6 (c) −6/5 (d) −5/6
  6. 6.What is the additive inverse of −3/8? (a) −8/3 (b) −3/8 (c) 3/8 (d) 8/3
  7. 7.Which is smaller: −5/7 or −7/8? (a) −7/8 (b) −5/7
  8. 8.What is (−5/6) − (−1/4)? (a) −13/12 (b) −2/5 (c) −7/12 (d) 7/12
  9. 9.Is 2/6 positive or negative? (a) Positive (b) Negative
  10. 10.Is −6/(−5) positive or negative? (a) Positive (b) Negative
  11. 11.Which is smaller: −4/9 or 4/5? (a) 4/5 (b) −4/9
  12. 12.What is the reciprocal (multiplicative inverse) of −1/7? (a) −7 (b) −1/7 (c) 1/7 (d) 7
  13. 13.Is −5/2 positive or negative? (a) Negative (b) Positive
  14. 14.Which is smaller: −5/9 or 1/6? (a) 1/6 (b) −5/9
  15. 15.What is 5/8 − (−1/7)? (a) −43/56 (b) 27/56 (c) 2/5 (d) 43/56
  16. 16.What is 1/7 + (−2/9)? (a) 23/63 (b) −1/16 (c) 5/63 (d) −5/63
  17. 17.What is (−3/8) − 2/9? (a) −11/72 (b) −43/72 (c) 43/72 (d) −5/17
  18. 18.What is (−6/7) + (−3/7)? (a) 9/7 (b) −9/14 (c) −3/7 (d) −9/7
  19. 19.What is the additive inverse of 3/8? (a) 8/3 (b) −3/8 (c) 3/8 (d) −8/3
  20. 20.What is 1/7 + (−1/4)? (a) −3/28 (b) 3/28 (c) 11/28 (d) 0
  21. 21.Which is smaller: −1/6 or 1/3? (a) −1/6 (b) 1/3
  22. 22.Is 6/8 positive or negative? (a) Positive (b) Negative
  23. 23.Which is bigger: −1/4 or −3/7? (a) −1/4 (b) −3/7
  24. 24.What is (−3/7) − (−1/4)? (a) 5/28 (b) −5/28 (c) −19/28 (d) −2/11
  25. 25.What is (−3/4) + (−3/4)? (a) 0 (b) −3/4 (c) 3/2 (d) −3/2
  26. 26.Which is bigger: −5/7 or −1/5? (a) −5/7 (b) −1/5
  27. 27.Is −6/(−4) positive or negative? (a) Positive (b) Negative
  28. 28.Which is smaller: −2/3 or −5/8? (a) −2/3 (b) −5/8
  29. 29.Is 1/(−9) positive or negative? (a) Negative (b) Positive
  30. 30.What is 2/9 + (−5/8)? (a) 29/72 (b) −3/17 (c) 61/72 (d) −29/72
  31. 31.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −20/35 (b) 4/7 (c) −4/7 (d) −7/4
  32. 32.What is 4/7 + (−1/8)? (a) 25/56 (b) −25/56 (c) 39/56 (d) 1/5
  33. 33.Write −3/15 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −3/15 (c) 1/5 (d) −1/5
  34. 34.What is the additive inverse of 2/7? (a) 7/2 (b) −7/2 (c) −2/7 (d) 2/7
  35. 35.What is (−1/3) + 8/9? (a) 5/9 (b) −11/9 (c) −5/9 (d) 7/12
  36. 36.Write −12/27 in standard form (lowest terms, positive denominator). (a) −4/9 (b) 4/9 (c) −9/4 (d) −12/27
  37. 37.Which is smaller: −2/5 or 1/4? (a) 1/4 (b) −2/5
  38. 38.Which is smaller: −5/7 or 3/4? (a) 3/4 (b) −5/7
  39. 39.What is 5/9 − (−1/6)? (a) 7/18 (b) −13/18 (c) 13/18 (d) 2/5
  40. 40.Which is smaller: −5/6 or 7/8? (a) −5/6 (b) 7/8

Answer key

  1. −1/4
  2. −17/63
  3. 2/7
  4. −9/7
  5. −5/6
  6. 3/8
  7. −7/8
  8. −7/12
  9. Positive
  10. Positive
  11. −4/9
  12. −7
  13. Negative
  14. −5/9
  15. 43/56
  16. −5/63
  17. −43/72
  18. −9/7
  19. −3/8
  20. −3/28
  21. −1/6
  22. Positive
  23. −1/4
  24. −5/28
  25. −3/2
  26. −1/5
  27. Positive
  28. −2/3
  29. Negative
  30. −29/72
  31. −4/7
  32. 25/56
  33. −1/5
  34. −2/7
  35. 5/9
  36. −4/9
  37. −2/5
  38. −5/7
  39. 13/18
  40. −5/6

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