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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 73 · 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: −3/5 or 1/4? (a) −3/5 (b) 1/4
  2. 2.Is 2/2 positive or negative? (a) Positive (b) Negative
  3. 3.What is (−5/8) + (−5/6)? (a) 5/24 (b) −35/24 (c) 35/24 (d) −5/7
  4. 4.Is 7/(−4) positive or negative? (a) Negative (b) Positive
  5. 5.Is −4/3 positive or negative? (a) Positive (b) Negative
  6. 6.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/16 (b) −4/1 (c) 1/4 (d) −1/4
  7. 7.What is the additive inverse of −1/6? (a) −6 (b) −1/6 (c) 6 (d) 1/6
  8. 8.Is 2/(−4) positive or negative? (a) Positive (b) Negative
  9. 9.Write −4/36 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −4/36 (c) −1/9 (d) −9/1
  10. 10.Is 5/2 positive or negative? (a) Positive (b) Negative
  11. 11.What is (−2/7) + (−5/7)? (a) −1/2 (b) 1 (c) −1 (d) 3/7
  12. 12.What is (−1/3) + (−2/5)? (a) −11/15 (b) 11/15 (c) −3/8 (d) 1/15
  13. 13.Is 7/(−6) positive or negative? (a) Positive (b) Negative
  14. 14.Write −3/6 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −2/1 (d) −3/6
  15. 15.Which is smaller: −1/5 or 1/3? (a) 1/3 (b) −1/5
  16. 16.What is the additive inverse of 1/4? (a) 1/4 (b) −1/4 (c) 4 (d) −4
  17. 17.What is (−2/3) + (−4/9)? (a) 10/9 (b) −2/9 (c) −1/2 (d) −10/9
  18. 18.What is (−3/4) + 5/8? (a) −1/8 (b) 1/8 (c) −11/8 (d) 1/6
  19. 19.What is 5/7 + (−5/7)? (a) 0 (b) 10/7
  20. 20.What is (−1/8) − (−1/9)? (a) −1/72 (b) 1/72 (c) −17/72 (d) 0
  21. 21.Is 4/3 positive or negative? (a) Negative (b) Positive
  22. 22.What is the reciprocal (multiplicative inverse) of −4/7? (a) −7/4 (b) −4/7 (c) 4/7 (d) 7/4
  23. 23.Is 8/3 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−7/9) − 7/8? (a) 7/72 (b) −14/17 (c) 119/72 (d) −119/72
  25. 25.Is −3/7 positive or negative? (a) Negative (b) Positive
  26. 26.Which is smaller: −1/9 or −1/6? (a) −1/9 (b) −1/6
  27. 27.What is 6/7 + (−2/7)? (a) 8/7 (b) 4/7 (c) −4/7 (d) 2/7
  28. 28.What is the additive inverse of 5/7? (a) 7/5 (b) −5/7 (c) −7/5 (d) 5/7
  29. 29.What is 1/7 + (−5/9)? (a) −1/4 (b) 44/63 (c) 26/63 (d) −26/63
  30. 30.What is the additive inverse of 7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8
  31. 31.What is 4/5 + (−1/3)? (a) −7/15 (b) 3/8 (c) 7/15 (d) 17/15
  32. 32.What is the reciprocal (multiplicative inverse) of 5/6? (a) 5/6 (b) −5/6 (c) −6/5 (d) 6/5
  33. 33.What is (−2/9) + 2/7? (a) 4/63 (b) −32/63 (c) 0 (d) −4/63
  34. 34.What is (−8/9) − (−5/9)? (a) −1/6 (b) −13/9 (c) −1/3 (d) 1/3
  35. 35.Which is bigger: −3/8 or −1/5? (a) −1/5 (b) −3/8
  36. 36.What is the reciprocal (multiplicative inverse) of 4/5? (a) −5/4 (b) 4/5 (c) 5/4 (d) −4/5
  37. 37.Which is smaller: −3/8 or 5/9? (a) 5/9 (b) −3/8
  38. 38.Which is bigger: −2/7 or −1/4? (a) −1/4 (b) −2/7
  39. 39.Which is smaller: −8/9 or 2/5? (a) 2/5 (b) −8/9
  40. 40.What is the additive inverse of −3/4? (a) −3/4 (b) −4/3 (c) 3/4 (d) 4/3

Answer key

  1. 1/4
  2. Positive
  3. −35/24
  4. Negative
  5. Negative
  6. −1/4
  7. 1/6
  8. Negative
  9. −1/9
  10. Positive
  11. −1
  12. −11/15
  13. Negative
  14. −1/2
  15. −1/5
  16. −1/4
  17. −10/9
  18. −1/8
  19. 0
  20. −1/72
  21. Positive
  22. −7/4
  23. Positive
  24. −119/72
  25. Negative
  26. −1/6
  27. 4/7
  28. −5/7
  29. −26/63
  30. −7/8
  31. 7/15
  32. 6/5
  33. 4/63
  34. −1/3
  35. −1/5
  36. 5/4
  37. −3/8
  38. −1/4
  39. −8/9
  40. 3/4

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