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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 905 · 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.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) −1/3 (b) 1/3 (c) −6/18 (d) −3/1
  2. 2.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) 4 (c) −1/4 (d) −4
  3. 3.What is (−2/9) − (−3/8)? (a) 11/72 (b) −43/72 (c) 1/17 (d) −11/72
  4. 4.What is (−3/5) + (−4/9)? (a) −1/2 (b) −47/45 (c) −7/45 (d) 47/45
  5. 5.What is 1/9 − (−3/5)? (a) 2/7 (b) 32/45 (c) −32/45 (d) −22/45
  6. 6.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −2/8 (d) −4/1
  7. 7.What is 2/7 + (−1/2)? (a) 11/14 (b) 1/9 (c) −3/14 (d) 3/14
  8. 8.What is the additive inverse of −5/9? (a) −5/9 (b) 5/9 (c) 9/5 (d) −9/5
  9. 9.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) 8/9 (d) −40/45
  10. 10.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  11. 11.What is (−1/7) + 5/6? (a) −41/42 (b) 29/42 (c) 4/13 (d) −29/42
  12. 12.What is (−1/8) − 2/3? (a) −3/11 (b) 13/24 (c) −19/24 (d) 19/24
  13. 13.What is 7/9 − (−5/7)? (a) 4/63 (b) 3/4 (c) −94/63 (d) 94/63
  14. 14.What is (−1/3) + (−3/8)? (a) 17/24 (b) 1/24 (c) −4/11 (d) −17/24
  15. 15.What is (−1/8) − (−2/3)? (a) 13/24 (b) 1/11 (c) −19/24 (d) −13/24
  16. 16.What is 1/6 − (−3/5)? (a) −13/30 (b) 4/11 (c) 23/30 (d) −23/30
  17. 17.Is −6/3 positive or negative? (a) Positive (b) Negative
  18. 18.What is the additive inverse of −2/9? (a) −9/2 (b) 2/9 (c) −2/9 (d) 9/2
  19. 19.Which is smaller: −5/9 or −5/6? (a) −5/9 (b) −5/6
  20. 20.Which is bigger: −1/3 or 3/5? (a) 3/5 (b) −1/3
  21. 21.Which is bigger: −1/3 or −2/9? (a) −2/9 (b) −1/3
  22. 22.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −7/6 (d) −30/35
  23. 23.Is −1/(−8) positive or negative? (a) Positive (b) Negative
  24. 24.Is 7/2 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−3/7) + 1/2? (a) −1/14 (b) −13/14 (c) −2/9 (d) 1/14
  26. 26.What is (−3/8) − 8/9? (a) 91/72 (b) −11/17 (c) 37/72 (d) −91/72
  27. 27.What is (−4/7) − 5/7? (a) −9/7 (b) 9/7 (c) −9/14 (d) 1/7
  28. 28.Is 4/3 positive or negative? (a) Positive (b) Negative
  29. 29.Which is smaller: −7/8 or 7/9? (a) 7/9 (b) −7/8
  30. 30.Which is bigger: −8/9 or −1/2? (a) −1/2 (b) −8/9
  31. 31.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) −2/9 (c) 9/2 (d) −9/2
  32. 32.Is −8/2 positive or negative? (a) Negative (b) Positive
  33. 33.Is 6/(−9) positive or negative? (a) Positive (b) Negative
  34. 34.Is 2/(−2) positive or negative? (a) Positive (b) Negative
  35. 35.What is (−5/8) + 5/9? (a) −85/72 (b) 5/72 (c) −5/72 (d) 0
  36. 36.What is (−8/9) + (−7/9)? (a) 5/3 (b) −5/3 (c) −1/9 (d) −5/6
  37. 37.What is (−2/9) + 5/6? (a) −11/18 (b) −19/18 (c) 1/5 (d) 11/18
  38. 38.What is the additive inverse of −4/9? (a) 9/4 (b) −9/4 (c) −4/9 (d) 4/9
  39. 39.What is the additive inverse of 3/4? (a) 3/4 (b) −4/3 (c) 4/3 (d) −3/4
  40. 40.What is the reciprocal (multiplicative inverse) of −1/4? (a) −4 (b) −1/4 (c) 1/4 (d) 4

Answer key

  1. −1/3
  2. 4
  3. 11/72
  4. −47/45
  5. 32/45
  6. −1/4
  7. −3/14
  8. 5/9
  9. −8/9
  10. Positive
  11. 29/42
  12. −19/24
  13. 94/63
  14. −17/24
  15. 13/24
  16. 23/30
  17. Negative
  18. 2/9
  19. −5/6
  20. 3/5
  21. −2/9
  22. −6/7
  23. Positive
  24. Positive
  25. 1/14
  26. −91/72
  27. −9/7
  28. Positive
  29. −7/8
  30. −1/2
  31. 9/2
  32. Negative
  33. Negative
  34. Negative
  35. −5/72
  36. −5/3
  37. 11/18
  38. 4/9
  39. −3/4
  40. −4

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