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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 767 · 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.What is the reciprocal (multiplicative inverse) of −5/6? (a) 5/6 (b) −5/6 (c) 6/5 (d) −6/5
  2. 2.Is −6/5 positive or negative? (a) Positive (b) Negative
  3. 3.Write −16/20 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −16/20 (d) −4/5
  4. 4.Write −9/21 in standard form (lowest terms, positive denominator). (a) −7/3 (b) −9/21 (c) 3/7 (d) −3/7
  5. 5.What is (−2/3) + (−1/4)? (a) 11/12 (b) −3/7 (c) −11/12 (d) −5/12
  6. 6.Is 1/(−4) positive or negative? (a) Negative (b) Positive
  7. 7.What is (−5/9) + 2/3? (a) −1/4 (b) −11/9 (c) −1/9 (d) 1/9
  8. 8.Which is bigger: −1/3 or −1/9? (a) −1/9 (b) −1/3
  9. 9.Is 8/4 positive or negative? (a) Positive (b) Negative
  10. 10.Which is smaller: −7/9 or −6/7? (a) −6/7 (b) −7/9
  11. 11.Is −6/9 positive or negative? (a) Negative (b) Positive
  12. 12.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) 4 (c) −1/4 (d) −4
  13. 13.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) 8/9 (d) −40/45
  14. 14.What is 2/3 + (−1/6)? (a) −1/2 (b) 1/9 (c) 1/2 (d) 5/6
  15. 15.Write 6/(−30) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −6/30 (c) −1/5 (d) 1/5
  16. 16.Which is bigger: −1/8 or 7/9? (a) −1/8 (b) 7/9
  17. 17.Which is smaller: −1/6 or −4/7? (a) −4/7 (b) −1/6
  18. 18.Which is bigger: −4/5 or −1/5? (a) −4/5 (b) −1/5
  19. 19.What is the reciprocal (multiplicative inverse) of 2/7? (a) 7/2 (b) 2/7 (c) −7/2 (d) −2/7
  20. 20.What is the additive inverse of 2/9? (a) 9/2 (b) −2/9 (c) −9/2 (d) 2/9
  21. 21.What is (−4/9) + (−5/8)? (a) 77/72 (b) −9/17 (c) −77/72 (d) 13/72
  22. 22.What is the reciprocal (multiplicative inverse) of 3/7? (a) 3/7 (b) 7/3 (c) −3/7 (d) −7/3
  23. 23.What is 3/7 + (−8/9)? (a) 29/63 (b) 83/63 (c) −29/63 (d) −5/16
  24. 24.Is −2/2 positive or negative? (a) Negative (b) Positive
  25. 25.What is 2/9 + (−5/9)? (a) 7/9 (b) 1/3 (c) −1/3 (d) −1/6
  26. 26.What is 1/7 + (−3/4)? (a) 17/28 (b) 25/28 (c) −17/28 (d) −2/11
  27. 27.What is (−3/4) + 5/6? (a) −1/12 (b) −19/12 (c) 1/5 (d) 1/12
  28. 28.Is −1/8 positive or negative? (a) Positive (b) Negative
  29. 29.Which is smaller: −3/8 or 5/7? (a) 5/7 (b) −3/8
  30. 30.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) −3/6 (b) −1/2 (c) 1/2 (d) −2/1
  31. 31.What is (−3/4) − (−5/6)? (a) 1/12 (b) 1/5 (c) −1/12 (d) −19/12
  32. 32.What is 7/9 − (−8/9)? (a) −1/9 (b) 5/6 (c) 5/3 (d) −5/3
  33. 33.What is the additive inverse of 6/7? (a) 6/7 (b) −7/6 (c) −6/7 (d) 7/6
  34. 34.What is (−2/3) + (−1/2)? (a) −1/6 (b) −3/5 (c) −7/6 (d) 7/6
  35. 35.What is the additive inverse of −1/7? (a) 7 (b) 1/7 (c) −1/7 (d) −7
  36. 36.Is 2/(−8) positive or negative? (a) Negative (b) Positive
  37. 37.Which is smaller: −5/7 or −2/5? (a) −5/7 (b) −2/5
  38. 38.Which is bigger: −2/5 or −1/8? (a) −2/5 (b) −1/8
  39. 39.Write −3/24 in standard form (lowest terms, positive denominator). (a) −1/8 (b) 1/8 (c) −8/1 (d) −3/24
  40. 40.Is 4/(−7) positive or negative? (a) Positive (b) Negative

Answer key

  1. −6/5
  2. Negative
  3. −4/5
  4. −3/7
  5. −11/12
  6. Negative
  7. 1/9
  8. −1/9
  9. Positive
  10. −6/7
  11. Negative
  12. 4
  13. −8/9
  14. 1/2
  15. −1/5
  16. 7/9
  17. −4/7
  18. −1/5
  19. 7/2
  20. −2/9
  21. −77/72
  22. 7/3
  23. −29/63
  24. Negative
  25. −1/3
  26. −17/28
  27. 1/12
  28. Negative
  29. −3/8
  30. −1/2
  31. 1/12
  32. 5/3
  33. −6/7
  34. −7/6
  35. 1/7
  36. Negative
  37. −5/7
  38. −1/8
  39. −1/8
  40. Negative

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