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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 689 · 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 3/(−2) positive or negative? (a) Negative (b) Positive
  2. 2.Which is smaller: −2/9 or 1/7? (a) −2/9 (b) 1/7
  3. 3.What is (−2/3) + 3/7? (a) 1/10 (b) −23/21 (c) 5/21 (d) −5/21
  4. 4.What is (−1/2) + 3/7? (a) −13/14 (b) 1/14 (c) 2/9 (d) −1/14
  5. 5.Which is smaller: −1/9 or 1/4? (a) 1/4 (b) −1/9
  6. 6.Is 7/7 positive or negative? (a) Positive (b) Negative
  7. 7.What is (−3/5) + (−4/7)? (a) −41/35 (b) 41/35 (c) −1/35 (d) −7/12
  8. 8.What is (−3/5) + (−5/9)? (a) −2/45 (b) −4/7 (c) 52/45 (d) −52/45
  9. 9.What is (−7/9) + 1/3? (a) 4/9 (b) −1/2 (c) −4/9 (d) −10/9
  10. 10.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) −3/9 (d) 1/3
  11. 11.Which is bigger: −8/9 or 2/5? (a) −8/9 (b) 2/5
  12. 12.What is 1/8 + (−2/3)? (a) 13/24 (b) 19/24 (c) −13/24 (d) −1/11
  13. 13.What is (−2/7) − (−1/9)? (a) −1/16 (b) −25/63 (c) 11/63 (d) −11/63
  14. 14.Write −8/36 in standard form (lowest terms, positive denominator). (a) −2/9 (b) 2/9 (c) −8/36 (d) −9/2
  15. 15.Which is smaller: −1/4 or 1/6? (a) 1/6 (b) −1/4
  16. 16.What is the reciprocal (multiplicative inverse) of 5/6? (a) −6/5 (b) 5/6 (c) 6/5 (d) −5/6
  17. 17.What is the additive inverse of 2/3? (a) 3/2 (b) −3/2 (c) −2/3 (d) 2/3
  18. 18.What is (−1/4) + 3/7? (a) 5/28 (b) 2/11 (c) −19/28 (d) −5/28
  19. 19.Is −9/4 positive or negative? (a) Positive (b) Negative
  20. 20.What is (−5/9) + 6/7? (a) −89/63 (b) 1/16 (c) −19/63 (d) 19/63
  21. 21.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) −1/6 (c) −6 (d) 1/6
  22. 22.Which is bigger: −1/8 or −3/4? (a) −3/4 (b) −1/8
  23. 23.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) −42/54 (b) −7/9 (c) 7/9 (d) −9/7
  24. 24.Is 1/(−5) positive or negative? (a) Negative (b) Positive
  25. 25.Write −2/6 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −2/6 (d) −1/3
  26. 26.What is (−6/7) − (−1/4)? (a) −17/28 (b) −5/11 (c) 17/28 (d) −31/28
  27. 27.Is −5/(−4) positive or negative? (a) Positive (b) Negative
  28. 28.What is (−2/7) + 1/3? (a) 1/21 (b) −1/10 (c) −13/21 (d) −1/21
  29. 29.What is 3/8 − (−7/8)? (a) −1/2 (b) −5/4 (c) 5/4 (d) 5/8
  30. 30.Write −15/24 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −15/24 (c) −5/8 (d) −8/5
  31. 31.What is (−2/9) − 3/4? (a) 35/36 (b) −35/36 (c) 19/36 (d) −5/13
  32. 32.What is the additive inverse of 1/3? (a) 3 (b) 1/3 (c) −1/3 (d) −3
  33. 33.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −7/5 (b) 5/7 (c) −15/21 (d) −5/7
  34. 34.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  35. 35.What is (−1/2) + 4/7? (a) −15/14 (b) −1/14 (c) 1/14 (d) 1/3
  36. 36.Is 2/3 positive or negative? (a) Positive (b) Negative
  37. 37.Which is smaller: −2/9 or 1/5? (a) 1/5 (b) −2/9
  38. 38.Which is smaller: −3/5 or 4/9? (a) −3/5 (b) 4/9
  39. 39.What is 3/8 − (−2/3)? (a) −7/24 (b) −25/24 (c) 25/24 (d) 5/11
  40. 40.What is (−1/6) − 3/5? (a) −23/30 (b) 13/30 (c) −4/11 (d) 23/30

Answer key

  1. Negative
  2. −2/9
  3. −5/21
  4. −1/14
  5. −1/9
  6. Positive
  7. −41/35
  8. −52/45
  9. −4/9
  10. −1/3
  11. 2/5
  12. −13/24
  13. −11/63
  14. −2/9
  15. −1/4
  16. 6/5
  17. −2/3
  18. 5/28
  19. Negative
  20. 19/63
  21. 6
  22. −1/8
  23. −7/9
  24. Negative
  25. −1/3
  26. −17/28
  27. Positive
  28. 1/21
  29. 5/4
  30. −5/8
  31. −35/36
  32. −1/3
  33. −5/7
  34. Negative
  35. 1/14
  36. Positive
  37. −2/9
  38. −3/5
  39. 25/24
  40. −23/30

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