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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 279 · 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 8/(−2) positive or negative? (a) Positive (b) Negative
  2. 2.What is (−3/4) + 1/5? (a) −11/20 (b) −19/20 (c) 11/20 (d) −2/9
  3. 3.Which is bigger: −1/8 or −1/7? (a) −1/8 (b) −1/7
  4. 4.Which is bigger: −2/3 or 5/9? (a) −2/3 (b) 5/9
  5. 5.What is (−1/5) + (−3/4)? (a) −19/20 (b) 11/20 (c) −4/9 (d) 19/20
  6. 6.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) 4/3 (c) 3/4 (d) −4/3
  7. 7.What is the reciprocal (multiplicative inverse) of −5/9? (a) −5/9 (b) 5/9 (c) −9/5 (d) 9/5
  8. 8.What is 1/9 + (−1/9)? (a) 2/9 (b) 0
  9. 9.Which is bigger: −1/2 or −1/4? (a) −1/4 (b) −1/2
  10. 10.Which is bigger: −6/7 or 7/9? (a) 7/9 (b) −6/7
  11. 11.Which is bigger: −4/9 or −2/9? (a) −2/9 (b) −4/9
  12. 12.Which is smaller: −1/8 or 4/5? (a) −1/8 (b) 4/5
  13. 13.What is (−7/9) + 7/8? (a) 0 (b) −7/72 (c) −119/72 (d) 7/72
  14. 14.Is 7/(−5) positive or negative? (a) Positive (b) Negative
  15. 15.What is the reciprocal (multiplicative inverse) of 1/6? (a) 1/6 (b) −1/6 (c) −6 (d) 6
  16. 16.What is (−4/7) − (−4/9)? (a) 8/63 (b) −64/63 (c) 0 (d) −8/63
  17. 17.What is (−5/7) − (−7/9)? (a) 4/63 (b) −94/63 (c) −4/63 (d) 1/8
  18. 18.Which is bigger: −3/8 or −4/5? (a) −4/5 (b) −3/8
  19. 19.Is 5/6 positive or negative? (a) Positive (b) Negative
  20. 20.Which is bigger: −3/5 or −1/2? (a) −3/5 (b) −1/2
  21. 21.Is 5/(−3) positive or negative? (a) Positive (b) Negative
  22. 22.What is (−2/7) − 2/5? (a) 24/35 (b) 4/35 (c) −1/3 (d) −24/35
  23. 23.Which is smaller: −5/9 or 3/7? (a) 3/7 (b) −5/9
  24. 24.Which is smaller: −1/2 or 3/4? (a) −1/2 (b) 3/4
  25. 25.What is 1/2 + (−2/7)? (a) −1/9 (b) 3/14 (c) 11/14 (d) −3/14
  26. 26.Write −16/28 in standard form (lowest terms, positive denominator). (a) −16/28 (b) 4/7 (c) −4/7 (d) −7/4
  27. 27.Is −6/(−2) positive or negative? (a) Positive (b) Negative
  28. 28.Write −12/18 in standard form (lowest terms, positive denominator). (a) −12/18 (b) −3/2 (c) 2/3 (d) −2/3
  29. 29.Is 3/3 positive or negative? (a) Negative (b) Positive
  30. 30.What is 1/7 − (−4/7)? (a) 5/14 (b) −3/7 (c) 5/7 (d) −5/7
  31. 31.What is the additive inverse of 1/2? (a) 2 (b) −2 (c) −1/2 (d) 1/2
  32. 32.What is (−4/5) + (−2/5)? (a) 6/5 (b) −2/5 (c) −6/5 (d) −3/5
  33. 33.Which is bigger: −1/2 or −8/9? (a) −1/2 (b) −8/9
  34. 34.What is the reciprocal (multiplicative inverse) of 4/9? (a) −4/9 (b) −9/4 (c) 9/4 (d) 4/9
  35. 35.Is −4/9 positive or negative? (a) Positive (b) Negative
  36. 36.Which is bigger: −2/3 or −1/5? (a) −2/3 (b) −1/5
  37. 37.Which is bigger: −5/9 or −3/5? (a) −5/9 (b) −3/5
  38. 38.Is −6/7 positive or negative? (a) Negative (b) Positive
  39. 39.Is 1/5 positive or negative? (a) Negative (b) Positive
  40. 40.What is the additive inverse of 1/7? (a) −1/7 (b) −7 (c) 1/7 (d) 7

Answer key

  1. Negative
  2. −11/20
  3. −1/8
  4. 5/9
  5. −19/20
  6. −4/3
  7. −9/5
  8. 0
  9. −1/4
  10. 7/9
  11. −2/9
  12. −1/8
  13. 7/72
  14. Negative
  15. 6
  16. −8/63
  17. 4/63
  18. −3/8
  19. Positive
  20. −1/2
  21. Negative
  22. −24/35
  23. −5/9
  24. −1/2
  25. 3/14
  26. −4/7
  27. Positive
  28. −2/3
  29. Positive
  30. 5/7
  31. −1/2
  32. −6/5
  33. −1/2
  34. 9/4
  35. Negative
  36. −1/5
  37. −5/9
  38. Negative
  39. Positive
  40. −1/7

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