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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 338 · 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.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −7/9 (b) 7/9 (c) −35/45 (d) −9/7
  2. 2.Is −3/5 positive or negative? (a) Negative (b) Positive
  3. 3.What is (−2/3) − 3/7? (a) −1/2 (b) 23/21 (c) −5/21 (d) −23/21
  4. 4.Which is bigger: −3/7 or −7/8? (a) −7/8 (b) −3/7
  5. 5.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −9/7 (d) −14/18
  6. 6.Is 8/9 positive or negative? (a) Negative (b) Positive
  7. 7.Is 2/3 positive or negative? (a) Negative (b) Positive
  8. 8.What is (−2/7) + (−1/9)? (a) −25/63 (b) −11/63 (c) 25/63 (d) −3/16
  9. 9.What is (−8/9) − 1/4? (a) −9/13 (b) −23/36 (c) −41/36 (d) 41/36
  10. 10.Which is bigger: −4/5 or −5/9? (a) −4/5 (b) −5/9
  11. 11.Which is bigger: −1/8 or −1/3? (a) −1/3 (b) −1/8
  12. 12.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  13. 13.What is (−1/5) − 6/7? (a) 23/35 (b) −37/35 (c) 37/35 (d) −7/12
  14. 14.What is the additive inverse of −2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  15. 15.Which is smaller: −5/7 or 2/5? (a) 2/5 (b) −5/7
  16. 16.What is 7/9 + (−3/4)? (a) 55/36 (b) 4/13 (c) 1/36 (d) −1/36
  17. 17.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) −8 (c) 1/8 (d) −1/8
  18. 18.What is (−3/4) − 5/8? (a) −1/8 (b) 11/8 (c) −2/3 (d) −11/8
  19. 19.Which is smaller: −6/7 or 2/7? (a) 2/7 (b) −6/7
  20. 20.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −3/24 (c) −8/1 (d) 1/8
  21. 21.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) 8/7 (c) 7/8 (d) −8/7
  22. 22.What is (−1/9) − (−2/3)? (a) 1/12 (b) 5/9 (c) −7/9 (d) −5/9
  23. 23.Which is smaller: −1/2 or 3/7? (a) −1/2 (b) 3/7
  24. 24.What is the additive inverse of −3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  25. 25.What is 1/3 + (−1/9)? (a) 0 (b) 2/9 (c) −2/9 (d) 4/9
  26. 26.Is −8/2 positive or negative? (a) Positive (b) Negative
  27. 27.What is (−2/5) − 7/8? (a) −9/13 (b) 51/40 (c) 19/40 (d) −51/40
  28. 28.What is the additive inverse of 3/4? (a) −4/3 (b) −3/4 (c) 3/4 (d) 4/3
  29. 29.Which is bigger: −7/9 or 2/5? (a) 2/5 (b) −7/9
  30. 30.Write −25/45 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −25/45 (c) −5/9 (d) 5/9
  31. 31.What is 1/4 + (−1/3)? (a) −1/12 (b) 7/12 (c) 1/12 (d) 0
  32. 32.What is (−1/8) − (−2/7)? (a) 1/15 (b) −23/56 (c) −9/56 (d) 9/56
  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.What is (−2/7) + 2/5? (a) 0 (b) −4/35 (c) −24/35 (d) 4/35
  35. 35.Is −8/5 positive or negative? (a) Negative (b) Positive
  36. 36.What is (−1/5) + (−2/5)? (a) 1/5 (b) −3/5 (c) 3/5 (d) −3/10
  37. 37.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −6/48 (b) −1/8 (c) −8/1 (d) 1/8
  38. 38.Is −7/3 positive or negative? (a) Positive (b) Negative
  39. 39.Which is smaller: −8/9 or 2/3? (a) −8/9 (b) 2/3
  40. 40.What is (−3/7) − (−2/9)? (a) 13/63 (b) −41/63 (c) −13/63 (d) −1/16

Answer key

  1. −7/9
  2. Negative
  3. −23/21
  4. −3/7
  5. −7/9
  6. Positive
  7. Positive
  8. −25/63
  9. −41/36
  10. −5/9
  11. −1/8
  12. Positive
  13. −37/35
  14. 2/3
  15. −5/7
  16. 1/36
  17. −8
  18. −11/8
  19. −6/7
  20. −1/8
  21. 8/7
  22. 5/9
  23. −1/2
  24. 3/4
  25. 2/9
  26. Negative
  27. −51/40
  28. −3/4
  29. 2/5
  30. −5/9
  31. −1/12
  32. 9/56
  33. 3/2
  34. 4/35
  35. Negative
  36. −3/5
  37. −1/8
  38. Negative
  39. −8/9
  40. −13/63

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