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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 786 · 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 −5/8? (a) −5/8 (b) 8/5 (c) −8/5 (d) 5/8
  2. 2.What is (−5/6) − 1/4? (a) −3/5 (b) −7/12 (c) 13/12 (d) −13/12
  3. 3.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −9/2 (c) −2/9 (d) 9/2
  4. 4.What is the reciprocal (multiplicative inverse) of 8/9? (a) −8/9 (b) 9/8 (c) 8/9 (d) −9/8
  5. 5.What is 5/9 − (−1/9)? (a) 2/3 (b) 4/9 (c) 1/3 (d) −2/3
  6. 6.What is (−4/7) + 1/8? (a) 25/56 (b) −39/56 (c) −1/5 (d) −25/56
  7. 7.Is −8/6 positive or negative? (a) Positive (b) Negative
  8. 8.What is the additive inverse of −2/9? (a) −9/2 (b) 9/2 (c) −2/9 (d) 2/9
  9. 9.What is 3/5 + (−7/9)? (a) 62/45 (b) −2/7 (c) 8/45 (d) −8/45
  10. 10.What is (−7/9) − (−2/3)? (a) 1/9 (b) −13/9 (c) −5/12 (d) −1/9
  11. 11.Which is smaller: −3/5 or −3/4? (a) −3/5 (b) −3/4
  12. 12.Which is bigger: −1/5 or 5/7? (a) 5/7 (b) −1/5
  13. 13.Which is bigger: −1/5 or −4/7? (a) −1/5 (b) −4/7
  14. 14.What is (−4/9) + 1/5? (a) −3/14 (b) 11/45 (c) −29/45 (d) −11/45
  15. 15.Which is smaller: −3/8 or −4/9? (a) −4/9 (b) −3/8
  16. 16.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −8/9 (b) 8/9 (c) −9/8 (d) −24/27
  17. 17.What is the additive inverse of −3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  18. 18.What is 1/8 + (−1/7)? (a) 0 (b) 15/56 (c) 1/56 (d) −1/56
  19. 19.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −6/14 (b) −3/7 (c) 3/7 (d) −7/3
  20. 20.What is 6/7 − (−1/9)? (a) −61/63 (b) 47/63 (c) 7/16 (d) 61/63
  21. 21.Is 8/(−7) positive or negative? (a) Positive (b) Negative
  22. 22.What is 8/9 + (−5/9)? (a) 1/6 (b) 1/3 (c) 13/9 (d) −1/3
  23. 23.Is −4/(−5) positive or negative? (a) Negative (b) Positive
  24. 24.What is the reciprocal (multiplicative inverse) of 1/9? (a) 9 (b) −9 (c) −1/9 (d) 1/9
  25. 25.What is 7/9 − (−2/3)? (a) 13/9 (b) 3/4 (c) −13/9 (d) 1/9
  26. 26.What is (−4/9) + 2/5? (a) 2/45 (b) −1/7 (c) −38/45 (d) −2/45
  27. 27.What is the additive inverse of 2/3? (a) 2/3 (b) −3/2 (c) 3/2 (d) −2/3
  28. 28.Write −5/10 in standard form (lowest terms, positive denominator). (a) −5/10 (b) −1/2 (c) −2/1 (d) 1/2
  29. 29.What is 2/3 − (−7/8)? (a) −37/24 (b) −5/24 (c) 37/24 (d) 9/11
  30. 30.What is (−5/9) − 4/5? (a) −61/45 (b) −9/14 (c) 61/45 (d) 11/45
  31. 31.What is (−5/9) + 5/7? (a) 0 (b) −80/63 (c) 10/63 (d) −10/63
  32. 32.Which is smaller: −4/5 or −3/8? (a) −3/8 (b) −4/5
  33. 33.What is 5/6 + (−3/5)? (a) 43/30 (b) −7/30 (c) 2/11 (d) 7/30
  34. 34.Write −12/15 in standard form (lowest terms, positive denominator). (a) −12/15 (b) −4/5 (c) 4/5 (d) −5/4
  35. 35.Which is bigger: −4/5 or −3/8? (a) −3/8 (b) −4/5
  36. 36.What is the additive inverse of 5/6? (a) −6/5 (b) 6/5 (c) 5/6 (d) −5/6
  37. 37.What is (−3/8) + 7/9? (a) −83/72 (b) 29/72 (c) −29/72 (d) 4/17
  38. 38.Is −7/2 positive or negative? (a) Negative (b) Positive
  39. 39.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −5/2 (b) −4/10 (c) 2/5 (d) −2/5
  40. 40.Is −1/2 positive or negative? (a) Positive (b) Negative

Answer key

  1. −8/5
  2. −13/12
  3. −9/2
  4. 9/8
  5. 2/3
  6. −25/56
  7. Negative
  8. 2/9
  9. −8/45
  10. −1/9
  11. −3/4
  12. 5/7
  13. −1/5
  14. −11/45
  15. −4/9
  16. −8/9
  17. 3/4
  18. −1/56
  19. −3/7
  20. 61/63
  21. Negative
  22. 1/3
  23. Positive
  24. 9
  25. 13/9
  26. −2/45
  27. −2/3
  28. −1/2
  29. 37/24
  30. −61/45
  31. 10/63
  32. −4/5
  33. 7/30
  34. −4/5
  35. −3/8
  36. −5/6
  37. 29/72
  38. Negative
  39. −2/5
  40. Negative

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