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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 964 · 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 additive inverse of 1/4? (a) −1/4 (b) −4 (c) 4 (d) 1/4
  2. 2.Is −3/4 positive or negative? (a) Negative (b) Positive
  3. 3.What is (−1/5) − (−6/7)? (a) 23/35 (b) −37/35 (c) 5/12 (d) −23/35
  4. 4.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −12/30 (c) −5/2 (d) 2/5
  5. 5.What is (−3/7) + (−4/5)? (a) 43/35 (b) 13/35 (c) −43/35 (d) −7/12
  6. 6.What is (−1/5) − 2/7? (a) 3/35 (b) −17/35 (c) −1/4 (d) 17/35
  7. 7.What is 4/9 + (−1/7)? (a) 19/63 (b) 37/63 (c) −19/63 (d) 3/16
  8. 8.What is (−3/8) + 5/9? (a) −13/72 (b) 13/72 (c) 2/17 (d) −67/72
  9. 9.What is (−1/9) + 4/9? (a) −5/9 (b) −1/3 (c) 1/6 (d) 1/3
  10. 10.What is the additive inverse of 1/6? (a) 1/6 (b) 6 (c) −6 (d) −1/6
  11. 11.Is −9/(−7) positive or negative? (a) Positive (b) Negative
  12. 12.What is 3/8 + (−2/3)? (a) 25/24 (b) −7/24 (c) 1/11 (d) 7/24
  13. 13.Which is bigger: −1/3 or 7/8? (a) 7/8 (b) −1/3
  14. 14.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −8/9 (d) −16/18
  15. 15.Is −3/(−7) positive or negative? (a) Negative (b) Positive
  16. 16.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) −5/3 (c) 5/3 (d) 3/5
  17. 17.Is 3/5 positive or negative? (a) Negative (b) Positive
  18. 18.Is −4/3 positive or negative? (a) Negative (b) Positive
  19. 19.Which is bigger: −4/5 or −1/8? (a) −4/5 (b) −1/8
  20. 20.Is 9/2 positive or negative? (a) Positive (b) Negative
  21. 21.What is the additive inverse of −4/7? (a) −7/4 (b) −4/7 (c) 4/7 (d) 7/4
  22. 22.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  23. 23.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −15/21 (c) 5/7 (d) −7/5
  24. 24.What is (−7/9) + 1/2? (a) 5/18 (b) −6/11 (c) −23/18 (d) −5/18
  25. 25.Is −9/4 positive or negative? (a) Positive (b) Negative
  26. 26.Write −21/24 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −7/8 (c) −21/24 (d) −8/7
  27. 27.What is the reciprocal (multiplicative inverse) of 4/5? (a) 5/4 (b) 4/5 (c) −4/5 (d) −5/4
  28. 28.Which is bigger: −5/8 or −2/7? (a) −5/8 (b) −2/7
  29. 29.What is (−3/7) − (−4/9)? (a) −55/63 (b) 1/16 (c) −1/63 (d) 1/63
  30. 30.Which is smaller: −4/5 or −1/3? (a) −4/5 (b) −1/3
  31. 31.Is −7/2 positive or negative? (a) Negative (b) Positive
  32. 32.What is the additive inverse of 5/7? (a) −7/5 (b) −5/7 (c) 7/5 (d) 5/7
  33. 33.What is (−7/9) − 5/7? (a) −3/4 (b) −4/63 (c) −94/63 (d) 94/63
  34. 34.Is −7/3 positive or negative? (a) Positive (b) Negative
  35. 35.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) 8/5 (c) −8/5 (d) −5/8
  36. 36.Is −7/9 positive or negative? (a) Positive (b) Negative
  37. 37.Which is smaller: −2/7 or −7/9? (a) −2/7 (b) −7/9
  38. 38.Is −6/(−6) positive or negative? (a) Positive (b) Negative
  39. 39.What is the additive inverse of 3/4? (a) 3/4 (b) −4/3 (c) 4/3 (d) −3/4
  40. 40.Which is bigger: −1/3 or 2/3? (a) 2/3 (b) −1/3

Answer key

  1. −1/4
  2. Negative
  3. 23/35
  4. −2/5
  5. −43/35
  6. −17/35
  7. 19/63
  8. 13/72
  9. 1/3
  10. −1/6
  11. Positive
  12. −7/24
  13. 7/8
  14. −8/9
  15. Positive
  16. 5/3
  17. Positive
  18. Negative
  19. −1/8
  20. Positive
  21. 4/7
  22. 7
  23. −5/7
  24. −5/18
  25. Negative
  26. −7/8
  27. 5/4
  28. −2/7
  29. 1/63
  30. −4/5
  31. Negative
  32. −5/7
  33. −94/63
  34. Negative
  35. 8/5
  36. Negative
  37. −7/9
  38. Positive
  39. −3/4
  40. 2/3

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