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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 520 · 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 (−7/8) + (−1/8)? (a) −1/2 (b) −3/4 (c) −1 (d) 1
  2. 2.Is −9/(−4) positive or negative? (a) Positive (b) Negative
  3. 3.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) −4/9 (b) −24/54 (c) 4/9 (d) −9/4
  4. 4.What is (−4/7) + 1/9? (a) −3/16 (b) 29/63 (c) −43/63 (d) −29/63
  5. 5.What is (−3/8) − 2/3? (a) −25/24 (b) 25/24 (c) −5/11 (d) 7/24
  6. 6.Is 7/5 positive or negative? (a) Positive (b) Negative
  7. 7.What is 1/3 − (−4/7)? (a) −5/21 (b) 1/2 (c) −19/21 (d) 19/21
  8. 8.Is 1/(−4) positive or negative? (a) Negative (b) Positive
  9. 9.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) −6/24 (b) −1/4 (c) −4/1 (d) 1/4
  10. 10.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) −4/3 (c) 3/4 (d) 4/3
  11. 11.What is (−3/4) + (−2/7)? (a) −13/28 (b) 29/28 (c) −5/11 (d) −29/28
  12. 12.Write −20/25 in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −20/25 (d) −4/5
  13. 13.What is (−1/3) + 2/3? (a) −1/3 (b) 1/3 (c) −1 (d) 1/6
  14. 14.Is 2/4 positive or negative? (a) Negative (b) Positive
  15. 15.What is the additive inverse of −1/6? (a) 6 (b) −6 (c) 1/6 (d) −1/6
  16. 16.What is the additive inverse of −1/4? (a) 1/4 (b) 4 (c) −4 (d) −1/4
  17. 17.What is (−2/9) − (−2/7)? (a) −32/63 (b) 4/63 (c) −4/63 (d) 0
  18. 18.What is (−7/8) + 1/8? (a) 3/4 (b) −1 (c) −3/4 (d) −3/8
  19. 19.Which is smaller: −5/8 or −1/6? (a) −1/6 (b) −5/8
  20. 20.What is 1/9 + (−3/8)? (a) −19/72 (b) −2/17 (c) 35/72 (d) 19/72
  21. 21.What is (−2/5) − (−8/9)? (a) −22/45 (b) −58/45 (c) 22/45 (d) 3/7
  22. 22.What is (−2/3) + 3/4? (a) −17/12 (b) 1/12 (c) 1/7 (d) −1/12
  23. 23.What is (−1/7) + 4/7? (a) −3/7 (b) 3/7 (c) −5/7 (d) 3/14
  24. 24.Which is bigger: −2/9 or −4/9? (a) −4/9 (b) −2/9
  25. 25.Write −30/35 in standard form (lowest terms, positive denominator). (a) −30/35 (b) −6/7 (c) 6/7 (d) −7/6
  26. 26.Is 3/2 positive or negative? (a) Negative (b) Positive
  27. 27.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −30/42 (c) −7/5 (d) 5/7
  28. 28.Is 3/8 positive or negative? (a) Negative (b) Positive
  29. 29.Is 6/2 positive or negative? (a) Positive (b) Negative
  30. 30.Which is bigger: −3/5 or −1/5? (a) −1/5 (b) −3/5
  31. 31.What is (−4/5) + 2/9? (a) −46/45 (b) −26/45 (c) −1/7 (d) 26/45
  32. 32.Is −3/(−2) positive or negative? (a) Positive (b) Negative
  33. 33.What is (−1/8) − 3/5? (a) −4/13 (b) 29/40 (c) 19/40 (d) −29/40
  34. 34.What is the additive inverse of 1/5? (a) −1/5 (b) 5 (c) −5 (d) 1/5
  35. 35.What is the additive inverse of −4/5? (a) 5/4 (b) −5/4 (c) 4/5 (d) −4/5
  36. 36.Write −10/25 in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −2/5 (d) −10/25
  37. 37.What is 7/8 − (−1/6)? (a) 4/7 (b) 25/24 (c) −25/24 (d) 17/24
  38. 38.What is (−1/9) + (−3/8)? (a) −35/72 (b) 19/72 (c) 35/72 (d) −4/17
  39. 39.Is −1/6 positive or negative? (a) Positive (b) Negative
  40. 40.What is the additive inverse of −2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3

Answer key

  1. −1
  2. Positive
  3. −4/9
  4. −29/63
  5. −25/24
  6. Positive
  7. 19/21
  8. Negative
  9. −1/4
  10. 4/3
  11. −29/28
  12. −4/5
  13. 1/3
  14. Positive
  15. 1/6
  16. 1/4
  17. 4/63
  18. −3/4
  19. −5/8
  20. −19/72
  21. 22/45
  22. 1/12
  23. 3/7
  24. −2/9
  25. −6/7
  26. Positive
  27. −5/7
  28. Positive
  29. Positive
  30. −1/5
  31. −26/45
  32. Positive
  33. −29/40
  34. −1/5
  35. 4/5
  36. −2/5
  37. 25/24
  38. −35/72
  39. Negative
  40. 2/3

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