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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 404 · 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.Is −4/8 positive or negative? (a) Negative (b) Positive
  2. 2.What is the reciprocal (multiplicative inverse) of 5/7? (a) 7/5 (b) −5/7 (c) 5/7 (d) −7/5
  3. 3.Which is smaller: −1/4 or −3/8? (a) −3/8 (b) −1/4
  4. 4.Write −10/18 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −10/18 (c) −5/9 (d) −9/5
  5. 5.What is (−5/7) − 1/5? (a) −18/35 (b) −32/35 (c) −1/2 (d) 32/35
  6. 6.Write −24/28 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −24/28 (c) −7/6 (d) 6/7
  7. 7.Is −1/4 positive or negative? (a) Positive (b) Negative
  8. 8.What is (−1/4) + 4/7? (a) −9/28 (b) −23/28 (c) 9/28 (d) 3/11
  9. 9.What is (−4/7) + (−1/9)? (a) −5/16 (b) −29/63 (c) −43/63 (d) 43/63
  10. 10.Is −6/(−6) positive or negative? (a) Negative (b) Positive
  11. 11.What is (−4/5) − 2/7? (a) −38/35 (b) 38/35 (c) −18/35 (d) −1/2
  12. 12.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  13. 13.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) 4/3 (c) 3/4 (d) −4/3
  14. 14.Which is smaller: −6/7 or −2/5? (a) −2/5 (b) −6/7
  15. 15.Is 6/(−2) positive or negative? (a) Positive (b) Negative
  16. 16.What is (−4/7) − 2/7? (a) −3/7 (b) 6/7 (c) −6/7 (d) −2/7
  17. 17.Which is bigger: −2/9 or −1/7? (a) −2/9 (b) −1/7
  18. 18.Which is smaller: −5/6 or −3/4? (a) −3/4 (b) −5/6
  19. 19.What is the additive inverse of −3/7? (a) −7/3 (b) 7/3 (c) −3/7 (d) 3/7
  20. 20.What is (−5/6) + (−1/5)? (a) −6/11 (b) −19/30 (c) −31/30 (d) 31/30
  21. 21.What is (−4/9) + (−4/7)? (a) −1/2 (b) 8/63 (c) −64/63 (d) 64/63
  22. 22.Is −6/2 positive or negative? (a) Positive (b) Negative
  23. 23.Is −3/(−8) positive or negative? (a) Positive (b) Negative
  24. 24.Write −15/18 in standard form (lowest terms, positive denominator). (a) −15/18 (b) −6/5 (c) −5/6 (d) 5/6
  25. 25.Which is bigger: −2/7 or −3/7? (a) −3/7 (b) −2/7
  26. 26.What is 6/7 + (−7/9)? (a) −1/16 (b) 5/63 (c) −5/63 (d) 103/63
  27. 27.What is 1/2 − (−3/7)? (a) 1/14 (b) −13/14 (c) 13/14 (d) 4/9
  28. 28.Is −7/(−4) positive or negative? (a) Positive (b) Negative
  29. 29.Write −35/45 in standard form (lowest terms, positive denominator). (a) −35/45 (b) −9/7 (c) −7/9 (d) 7/9
  30. 30.Is 1/(−7) positive or negative? (a) Positive (b) Negative
  31. 31.Which is smaller: −5/8 or 1/5? (a) 1/5 (b) −5/8
  32. 32.What is (−2/7) − (−1/5)? (a) −1/12 (b) −3/35 (c) −17/35 (d) 3/35
  33. 33.What is (−7/9) + (−2/9)? (a) −5/9 (b) 1 (c) −1/2 (d) −1
  34. 34.Write −30/48 in standard form (lowest terms, positive denominator). (a) −5/8 (b) −30/48 (c) 5/8 (d) −8/5
  35. 35.What is the reciprocal (multiplicative inverse) of 5/6? (a) 6/5 (b) −5/6 (c) −6/5 (d) 5/6
  36. 36.Which is bigger: −1/7 or −3/8? (a) −1/7 (b) −3/8
  37. 37.What is (−1/3) + 4/9? (a) 1/4 (b) −7/9 (c) 1/9 (d) −1/9
  38. 38.What is (−4/7) − 1/4? (a) −9/28 (b) 23/28 (c) −5/11 (d) −23/28
  39. 39.What is (−5/9) + 3/7? (a) 8/63 (b) −1/8 (c) −62/63 (d) −8/63
  40. 40.What is 1/7 + (−3/7)? (a) 2/7 (b) −2/7 (c) −1/7 (d) 4/7

Answer key

  1. Negative
  2. 7/5
  3. −3/8
  4. −5/9
  5. −32/35
  6. −6/7
  7. Negative
  8. 9/28
  9. −43/63
  10. Positive
  11. −38/35
  12. Negative
  13. 4/3
  14. −6/7
  15. Negative
  16. −6/7
  17. −1/7
  18. −5/6
  19. 3/7
  20. −31/30
  21. −64/63
  22. Negative
  23. Positive
  24. −5/6
  25. −2/7
  26. 5/63
  27. 13/14
  28. Positive
  29. −7/9
  30. Negative
  31. −5/8
  32. −3/35
  33. −1
  34. −5/8
  35. 6/5
  36. −1/7
  37. 1/9
  38. −23/28
  39. −8/63
  40. −2/7

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