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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 951 · 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 (−1/8) − 1/2? (a) 3/8 (b) −5/8 (c) 5/8 (d) −1/5
  2. 2.Which is bigger: −4/5 or −4/7? (a) −4/5 (b) −4/7
  3. 3.What is the additive inverse of −2/5? (a) 2/5 (b) 5/2 (c) −2/5 (d) −5/2
  4. 4.What is the additive inverse of −1/4? (a) 1/4 (b) 4 (c) −1/4 (d) −4
  5. 5.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) −2/5 (c) −5/2 (d) 5/2
  6. 6.What is (−1/8) − 7/8? (a) −1/2 (b) 1 (c) −1 (d) 3/4
  7. 7.Write −3/27 in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −3/27 (d) −1/9
  8. 8.What is 3/7 − (−3/7)? (a) −6/7 (b) 0 (c) 6/7 (d) 3/7
  9. 9.What is 3/5 + (−1/5)? (a) 1/5 (b) 2/5 (c) −2/5 (d) 4/5
  10. 10.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) −4/16 (d) 1/4
  11. 11.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) 1/9 (c) 9 (d) −9
  12. 12.Is −2/(−6) positive or negative? (a) Positive (b) Negative
  13. 13.Write −5/15 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −5/15 (c) 1/3 (d) −1/3
  14. 14.Is 4/2 positive or negative? (a) Negative (b) Positive
  15. 15.Which is bigger: −5/7 or −3/5? (a) −5/7 (b) −3/5
  16. 16.What is 1/7 + (−1/7)? (a) 0 (b) 2/7
  17. 17.What is 3/4 + (−2/3)? (a) 1/7 (b) 17/12 (c) 1/12 (d) −1/12
  18. 18.What is 5/8 + (−8/9)? (a) 109/72 (b) 19/72 (c) −3/17 (d) −19/72
  19. 19.Is −4/3 positive or negative? (a) Negative (b) Positive
  20. 20.What is (−1/5) − 5/8? (a) −33/40 (b) −6/13 (c) 33/40 (d) 17/40
  21. 21.Write −8/12 in standard form (lowest terms, positive denominator). (a) −8/12 (b) 2/3 (c) −3/2 (d) −2/3
  22. 22.Is −4/7 positive or negative? (a) Positive (b) Negative
  23. 23.Write −20/35 in standard form (lowest terms, positive denominator). (a) −20/35 (b) −4/7 (c) 4/7 (d) −7/4
  24. 24.Is −1/5 positive or negative? (a) Positive (b) Negative
  25. 25.What is 5/8 + (−3/4)? (a) 1/6 (b) 11/8 (c) 1/8 (d) −1/8
  26. 26.Which is bigger: −4/5 or −1/3? (a) −4/5 (b) −1/3
  27. 27.Is −1/(−3) positive or negative? (a) Negative (b) Positive
  28. 28.What is 4/7 + (−3/7)? (a) 1 (b) 1/14 (c) 1/7 (d) −1/7
  29. 29.Is 1/(−3) positive or negative? (a) Negative (b) Positive
  30. 30.What is the additive inverse of 1/2? (a) −1/2 (b) 2 (c) −2 (d) 1/2
  31. 31.Which is smaller: −8/9 or −5/7? (a) −8/9 (b) −5/7
  32. 32.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −1/7 (b) −6/42 (c) 1/7 (d) −7/1
  33. 33.What is (−1/2) − (−7/8)? (a) 3/5 (b) 3/8 (c) −11/8 (d) −3/8
  34. 34.What is 1/8 − (−4/9)? (a) 5/17 (b) 41/72 (c) −23/72 (d) −41/72
  35. 35.What is 3/7 + (−4/9)? (a) −1/63 (b) 1/63 (c) 55/63 (d) −1/16
  36. 36.Which is smaller: −1/7 or −2/9? (a) −2/9 (b) −1/7
  37. 37.What is (−8/9) + (−3/7)? (a) −29/63 (b) −11/16 (c) −83/63 (d) 83/63
  38. 38.What is (−3/7) − (−1/4)? (a) −5/28 (b) −2/11 (c) 5/28 (d) −19/28
  39. 39.What is 3/4 + (−5/8)? (a) 11/8 (b) 1/8 (c) −1/8 (d) −1/6
  40. 40.What is 1/4 − (−5/8)? (a) −7/8 (b) 1/2 (c) −3/8 (d) 7/8

Answer key

  1. −5/8
  2. −4/7
  3. 2/5
  4. 1/4
  5. 5/2
  6. −1
  7. −1/9
  8. 6/7
  9. 2/5
  10. −1/4
  11. 9
  12. Positive
  13. −1/3
  14. Positive
  15. −3/5
  16. 0
  17. 1/12
  18. −19/72
  19. Negative
  20. −33/40
  21. −2/3
  22. Negative
  23. −4/7
  24. Negative
  25. −1/8
  26. −1/3
  27. Positive
  28. 1/7
  29. Negative
  30. −1/2
  31. −8/9
  32. −1/7
  33. 3/8
  34. 41/72
  35. −1/63
  36. −2/9
  37. −83/63
  38. −5/28
  39. 1/8
  40. 7/8

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