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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 982 · 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 additive inverse of −2/9? (a) −9/2 (b) −2/9 (c) 9/2 (d) 2/9
  2. 2.Write −12/16 in standard form (lowest terms, positive denominator). (a) −12/16 (b) −4/3 (c) −3/4 (d) 3/4
  3. 3.Is −3/6 positive or negative? (a) Positive (b) Negative
  4. 4.Write −5/10 in standard form (lowest terms, positive denominator). (a) −5/10 (b) −2/1 (c) −1/2 (d) 1/2
  5. 5.What is 5/9 + (−2/7)? (a) 17/63 (b) 3/16 (c) 53/63 (d) −17/63
  6. 6.Is 7/7 positive or negative? (a) Negative (b) Positive
  7. 7.What is (−2/3) + (−4/9)? (a) −1/2 (b) −2/9 (c) 10/9 (d) −10/9
  8. 8.What is (−3/8) + (−2/9)? (a) 43/72 (b) −43/72 (c) −5/17 (d) −11/72
  9. 9.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) −6/15 (b) −5/2 (c) −2/5 (d) 2/5
  10. 10.What is the reciprocal (multiplicative inverse) of 5/8? (a) 8/5 (b) −8/5 (c) −5/8 (d) 5/8
  11. 11.What is (−5/7) + (−3/4)? (a) −8/11 (b) 41/28 (c) 1/28 (d) −41/28
  12. 12.Which is bigger: −3/4 or −5/6? (a) −3/4 (b) −5/6
  13. 13.What is 1/7 + (−6/7)? (a) 1 (b) −5/7 (c) 5/7 (d) −5/14
  14. 14.What is (−4/9) + 2/5? (a) 2/45 (b) −1/7 (c) −2/45 (d) −38/45
  15. 15.Is −4/3 positive or negative? (a) Positive (b) Negative
  16. 16.What is (−3/7) + 7/9? (a) 1/4 (b) −22/63 (c) −76/63 (d) 22/63
  17. 17.Is −1/8 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−1/3) + 2/7? (a) 1/21 (b) −13/21 (c) 1/10 (d) −1/21
  19. 19.What is 1/9 + (−3/8)? (a) 19/72 (b) 35/72 (c) −2/17 (d) −19/72
  20. 20.What is (−2/3) + (−1/2)? (a) −3/5 (b) 7/6 (c) −1/6 (d) −7/6
  21. 21.What is the reciprocal (multiplicative inverse) of −8/9? (a) −8/9 (b) −9/8 (c) 9/8 (d) 8/9
  22. 22.Is 4/(−6) positive or negative? (a) Positive (b) Negative
  23. 23.What is (−1/8) − 2/7? (a) 23/56 (b) −1/5 (c) 9/56 (d) −23/56
  24. 24.What is (−3/5) − 2/5? (a) −1/5 (b) −1 (c) −1/2 (d) 1
  25. 25.What is 1/5 − (−2/3)? (a) 3/8 (b) −13/15 (c) −7/15 (d) 13/15
  26. 26.What is the reciprocal (multiplicative inverse) of 4/5? (a) 5/4 (b) −5/4 (c) −4/5 (d) 4/5
  27. 27.Which is smaller: −2/9 or −4/9? (a) −4/9 (b) −2/9
  28. 28.What is 1/8 + (−2/5)? (a) 21/40 (b) −11/40 (c) −1/13 (d) 11/40
  29. 29.What is the additive inverse of −1/7? (a) −7 (b) 7 (c) 1/7 (d) −1/7
  30. 30.Which is smaller: −2/3 or −1/5? (a) −1/5 (b) −2/3
  31. 31.What is 5/9 − (−2/3)? (a) −1/9 (b) 11/9 (c) −11/9 (d) 7/12
  32. 32.Which is bigger: −6/7 or −1/2? (a) −1/2 (b) −6/7
  33. 33.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) −2/3 (c) 3/2 (d) −3/2
  34. 34.Which is smaller: −3/7 or 1/4? (a) −3/7 (b) 1/4
  35. 35.What is (−1/4) − 3/4? (a) 1 (b) 1/2 (c) −1 (d) −1/2
  36. 36.Is 1/6 positive or negative? (a) Negative (b) Positive
  37. 37.What is the additive inverse of −3/7? (a) −3/7 (b) 3/7 (c) 7/3 (d) −7/3
  38. 38.Which is bigger: −1/5 or 1/7? (a) −1/5 (b) 1/7
  39. 39.Is −9/4 positive or negative? (a) Positive (b) Negative
  40. 40.What is the reciprocal (multiplicative inverse) of 3/5? (a) 3/5 (b) 5/3 (c) −3/5 (d) −5/3

Answer key

  1. 2/9
  2. −3/4
  3. Negative
  4. −1/2
  5. 17/63
  6. Positive
  7. −10/9
  8. −43/72
  9. −2/5
  10. 8/5
  11. −41/28
  12. −3/4
  13. −5/7
  14. −2/45
  15. Negative
  16. 22/63
  17. Negative
  18. −1/21
  19. −19/72
  20. −7/6
  21. −9/8
  22. Negative
  23. −23/56
  24. −1
  25. 13/15
  26. 5/4
  27. −4/9
  28. −11/40
  29. 1/7
  30. −2/3
  31. 11/9
  32. −1/2
  33. −3/2
  34. −3/7
  35. −1
  36. Positive
  37. 3/7
  38. 1/7
  39. Negative
  40. 5/3

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