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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 819 · 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 24/(−28) in standard form (lowest terms, positive denominator). (a) −24/28 (b) 6/7 (c) −7/6 (d) −6/7
  2. 2.What is (−7/9) + (−8/9)? (a) 5/3 (b) −5/6 (c) −5/3 (d) 1/9
  3. 3.What is (−1/7) − (−8/9)? (a) 7/16 (b) −65/63 (c) 47/63 (d) −47/63
  4. 4.What is (−4/7) + (−1/4)? (a) −5/11 (b) 23/28 (c) −23/28 (d) −9/28
  5. 5.What is the additive inverse of 8/9? (a) −9/8 (b) 9/8 (c) −8/9 (d) 8/9
  6. 6.Which is bigger: −2/3 or −3/7? (a) −3/7 (b) −2/3
  7. 7.Which is smaller: −2/9 or −4/5? (a) −4/5 (b) −2/9
  8. 8.Which is smaller: −3/5 or 1/6? (a) −3/5 (b) 1/6
  9. 9.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) 2 (c) 1/2 (d) −2
  10. 10.What is (−2/3) − (−3/4)? (a) −1/12 (b) 1/7 (c) 1/12 (d) −17/12
  11. 11.Is −2/(−4) positive or negative? (a) Positive (b) Negative
  12. 12.Is 7/8 positive or negative? (a) Positive (b) Negative
  13. 13.Is −4/9 positive or negative? (a) Negative (b) Positive
  14. 14.Write −8/20 in standard form (lowest terms, positive denominator). (a) −8/20 (b) 2/5 (c) −5/2 (d) −2/5
  15. 15.Which is bigger: −4/5 or 3/5? (a) −4/5 (b) 3/5
  16. 16.Which is smaller: −1/9 or −1/4? (a) −1/4 (b) −1/9
  17. 17.What is (−2/5) − (−5/8)? (a) −9/40 (b) −41/40 (c) 3/13 (d) 9/40
  18. 18.Write −9/24 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −9/24 (d) −3/8
  19. 19.Which is smaller: −4/5 or −3/5? (a) −3/5 (b) −4/5
  20. 20.Which is smaller: −8/9 or 7/8? (a) 7/8 (b) −8/9
  21. 21.Which is bigger: −1/5 or 1/7? (a) −1/5 (b) 1/7
  22. 22.What is (−5/7) + (−2/5)? (a) −7/12 (b) −39/35 (c) −11/35 (d) 39/35
  23. 23.What is 1/2 + (−2/9)? (a) 5/18 (b) −5/18 (c) −1/11 (d) 13/18
  24. 24.Is −9/9 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−3/4) + (−1/3)? (a) 13/12 (b) −4/7 (c) −13/12 (d) −5/12
  26. 26.Which is bigger: −2/5 or −1/6? (a) −1/6 (b) −2/5
  27. 27.Is −6/6 positive or negative? (a) Negative (b) Positive
  28. 28.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  29. 29.Is 2/(−4) positive or negative? (a) Positive (b) Negative
  30. 30.Write −10/12 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −10/12 (d) −6/5
  31. 31.Is 1/4 positive or negative? (a) Negative (b) Positive
  32. 32.What is 3/4 + (−1/8)? (a) 7/8 (b) 1/6 (c) −5/8 (d) 5/8
  33. 33.What is (−1/2) − (−4/9)? (a) 1/18 (b) 3/11 (c) −17/18 (d) −1/18
  34. 34.What is (−3/5) + 1/5? (a) −1/5 (b) −4/5 (c) −2/5 (d) 2/5
  35. 35.Is −7/(−9) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−3/4) + (−2/3)? (a) −5/7 (b) −1/12 (c) −17/12 (d) 17/12
  37. 37.Which is bigger: −8/9 or −3/7? (a) −3/7 (b) −8/9
  38. 38.What is (−6/7) + 2/5? (a) −16/35 (b) −1/3 (c) −44/35 (d) 16/35
  39. 39.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) 4/3 (c) −3/4 (d) −4/3
  40. 40.What is (−2/3) − 2/7? (a) 20/21 (b) −8/21 (c) −2/5 (d) −20/21

Answer key

  1. −6/7
  2. −5/3
  3. 47/63
  4. −23/28
  5. −8/9
  6. −3/7
  7. −4/5
  8. −3/5
  9. −2
  10. 1/12
  11. Positive
  12. Positive
  13. Negative
  14. −2/5
  15. 3/5
  16. −1/4
  17. 9/40
  18. −3/8
  19. −4/5
  20. −8/9
  21. 1/7
  22. −39/35
  23. 5/18
  24. Negative
  25. −13/12
  26. −1/6
  27. Negative
  28. 5/2
  29. Negative
  30. −5/6
  31. Positive
  32. 5/8
  33. −1/18
  34. −2/5
  35. Positive
  36. −17/12
  37. −3/7
  38. −16/35
  39. 4/3
  40. −20/21

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