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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 845 · 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 (−4/5) + 1/6? (a) −19/30 (b) −29/30 (c) 19/30 (d) −3/11
  2. 2.Is −8/(−8) positive or negative? (a) Positive (b) Negative
  3. 3.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −1/5 (c) −3/15 (d) 1/5
  4. 4.Is −6/3 positive or negative? (a) Positive (b) Negative
  5. 5.Which is smaller: −1/4 or −5/6? (a) −5/6 (b) −1/4
  6. 6.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) −4/9 (c) 4/9 (d) −9/4
  7. 7.Is 7/(−6) positive or negative? (a) Negative (b) Positive
  8. 8.Which is smaller: −3/8 or 5/6? (a) −3/8 (b) 5/6
  9. 9.What is (−7/8) − (−3/4)? (a) −1/8 (b) −1/3 (c) 1/8 (d) −13/8
  10. 10.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) 4/5 (d) −20/25
  11. 11.Is −6/(−4) positive or negative? (a) Positive (b) Negative
  12. 12.Is 1/4 positive or negative? (a) Positive (b) Negative
  13. 13.What is the reciprocal (multiplicative inverse) of −1/9? (a) 9 (b) −9 (c) −1/9 (d) 1/9
  14. 14.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −2/16 (d) −1/8
  15. 15.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) −5/2 (c) −2/5 (d) 2/5
  16. 16.Is −1/5 positive or negative? (a) Negative (b) Positive
  17. 17.Is 4/(−5) positive or negative? (a) Positive (b) Negative
  18. 18.What is (−1/8) + 1/4? (a) 0 (b) −1/8 (c) 1/8 (d) −3/8
  19. 19.What is (−6/7) + 4/7? (a) −10/7 (b) −2/7 (c) 2/7 (d) −1/7
  20. 20.What is (−8/9) + 1/5? (a) 31/45 (b) −49/45 (c) −1/2 (d) −31/45
  21. 21.What is 1/3 − (−3/4)? (a) 13/12 (b) 4/7 (c) −13/12 (d) −5/12
  22. 22.What is the additive inverse of 3/7? (a) 3/7 (b) 7/3 (c) −3/7 (d) −7/3
  23. 23.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  24. 24.What is (−1/6) + (−1/4)? (a) 5/12 (b) −1/5 (c) −5/12 (d) 1/12
  25. 25.What is 6/7 − (−3/4)? (a) −45/28 (b) 45/28 (c) 9/11 (d) 3/28
  26. 26.What is 6/7 + (−5/7)? (a) −1/7 (b) 1/7 (c) 11/7 (d) 1/14
  27. 27.Write −14/18 in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) −14/18 (d) 7/9
  28. 28.Which is bigger: −1/3 or −5/7? (a) −5/7 (b) −1/3
  29. 29.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −28/32 (c) −8/7 (d) −7/8
  30. 30.Is −8/(−9) positive or negative? (a) Positive (b) Negative
  31. 31.Is −6/(−6) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−1/4) + 7/8? (a) −5/8 (b) 5/8 (c) 1/2 (d) −9/8
  33. 33.Which is smaller: −3/8 or −4/7? (a) −3/8 (b) −4/7
  34. 34.Which is bigger: −2/7 or −2/9? (a) −2/7 (b) −2/9
  35. 35.Is 1/(−2) positive or negative? (a) Positive (b) Negative
  36. 36.Which is bigger: −5/6 or −1/2? (a) −1/2 (b) −5/6
  37. 37.What is 4/9 − (−6/7)? (a) −82/63 (b) −26/63 (c) 82/63 (d) 5/8
  38. 38.What is (−1/2) + 1/2? (a) −1 (b) 0
  39. 39.Which is bigger: −1/6 or −4/7? (a) −1/6 (b) −4/7
  40. 40.Which is bigger: −2/9 or −1/7? (a) −1/7 (b) −2/9

Answer key

  1. −19/30
  2. Positive
  3. −1/5
  4. Negative
  5. −5/6
  6. −9/4
  7. Negative
  8. −3/8
  9. −1/8
  10. −4/5
  11. Positive
  12. Positive
  13. −9
  14. −1/8
  15. −5/2
  16. Negative
  17. Negative
  18. 1/8
  19. −2/7
  20. −31/45
  21. 13/12
  22. −3/7
  23. Positive
  24. −5/12
  25. 45/28
  26. 1/7
  27. −7/9
  28. −1/3
  29. −7/8
  30. Positive
  31. Positive
  32. 5/8
  33. −4/7
  34. −2/9
  35. Negative
  36. −1/2
  37. 82/63
  38. 0
  39. −1/6
  40. −1/7

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