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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 870 · 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 −9/3 positive or negative? (a) Positive (b) Negative
  2. 2.What is (−6/7) − 1/9? (a) −47/63 (b) 61/63 (c) −61/63 (d) −7/16
  3. 3.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) −9/2 (c) 9/2 (d) 2/9
  4. 4.Write −10/35 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) −10/35 (d) 2/7
  5. 5.What is (−5/9) + 2/7? (a) −3/16 (b) −53/63 (c) −17/63 (d) 17/63
  6. 6.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −15/35 (d) −3/7
  7. 7.Write −10/14 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) −10/14 (d) 5/7
  8. 8.What is (−3/5) + 4/7? (a) 1/35 (b) −1/35 (c) 1/12 (d) −41/35
  9. 9.What is (−2/3) − 5/7? (a) 1/21 (b) −29/21 (c) −7/10 (d) 29/21
  10. 10.What is (−5/6) + (−1/3)? (a) −1/2 (b) −7/6 (c) 7/6 (d) −2/3
  11. 11.Which is bigger: −1/8 or −2/3? (a) −1/8 (b) −2/3
  12. 12.Is 9/3 positive or negative? (a) Positive (b) Negative
  13. 13.What is (−1/3) − (−7/8)? (a) 13/24 (b) −13/24 (c) 6/11 (d) −29/24
  14. 14.Is −2/(−3) positive or negative? (a) Negative (b) Positive
  15. 15.Which is bigger: −1/4 or 1/5? (a) −1/4 (b) 1/5
  16. 16.Write −8/12 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −8/12 (c) −3/2 (d) 2/3
  17. 17.Is −6/3 positive or negative? (a) Negative (b) Positive
  18. 18.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  19. 19.What is the additive inverse of −1/8? (a) −1/8 (b) 8 (c) 1/8 (d) −8
  20. 20.Which is smaller: −3/5 or −4/7? (a) −3/5 (b) −4/7
  21. 21.What is the additive inverse of −2/9? (a) 2/9 (b) −2/9 (c) 9/2 (d) −9/2
  22. 22.What is the additive inverse of 5/8? (a) −5/8 (b) −8/5 (c) 5/8 (d) 8/5
  23. 23.Which is bigger: −1/9 or 4/7? (a) −1/9 (b) 4/7
  24. 24.Is −6/4 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−1/3) − (−6/7)? (a) 1/2 (b) 11/21 (c) −25/21 (d) −11/21
  26. 26.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) −24/54 (d) 4/9
  27. 27.Which is bigger: −2/3 or −7/8? (a) −7/8 (b) −2/3
  28. 28.Which is bigger: −3/8 or 2/3? (a) −3/8 (b) 2/3
  29. 29.What is the additive inverse of −1/5? (a) −1/5 (b) 5 (c) 1/5 (d) −5
  30. 30.Write −6/24 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −6/24 (c) −1/4 (d) 1/4
  31. 31.Is 5/(−2) positive or negative? (a) Negative (b) Positive
  32. 32.Is −5/(−9) positive or negative? (a) Positive (b) Negative
  33. 33.Is 3/3 positive or negative? (a) Negative (b) Positive
  34. 34.What is 1/9 + (−3/7)? (a) 20/63 (b) −20/63 (c) 34/63 (d) −1/8
  35. 35.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −12/15 (c) −5/4 (d) −4/5
  36. 36.Which is smaller: −1/6 or −2/9? (a) −2/9 (b) −1/6
  37. 37.Which is bigger: −1/9 or 7/8? (a) 7/8 (b) −1/9
  38. 38.Which is smaller: −1/3 or 2/7? (a) 2/7 (b) −1/3
  39. 39.What is (−3/7) − (−3/7)? (a) 0 (b) −6/7
  40. 40.Is 8/9 positive or negative? (a) Positive (b) Negative

Answer key

  1. Negative
  2. −61/63
  3. 9/2
  4. −2/7
  5. −17/63
  6. −3/7
  7. −5/7
  8. −1/35
  9. −29/21
  10. −7/6
  11. −1/8
  12. Positive
  13. 13/24
  14. Positive
  15. 1/5
  16. −2/3
  17. Negative
  18. Negative
  19. 1/8
  20. −3/5
  21. 2/9
  22. −5/8
  23. 4/7
  24. Negative
  25. 11/21
  26. −4/9
  27. −2/3
  28. 2/3
  29. 1/5
  30. −1/4
  31. Negative
  32. Positive
  33. Positive
  34. −20/63
  35. −4/5
  36. −2/9
  37. 7/8
  38. −1/3
  39. 0
  40. Positive

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