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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 183 · 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 −16/20 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) −16/20 (d) 4/5
  2. 2.What is (−1/6) + 5/8? (a) −11/24 (b) 11/24 (c) 2/7 (d) −19/24
  3. 3.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) −1/3 (c) 1/3 (d) 3
  4. 4.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −4/9 (b) −12/27 (c) 4/9 (d) −9/4
  5. 5.Which is bigger: −3/4 or 3/8? (a) −3/4 (b) 3/8
  6. 6.What is the additive inverse of 4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  7. 7.Which is smaller: −1/2 or −6/7? (a) −1/2 (b) −6/7
  8. 8.What is (−1/2) + (−1/3)? (a) 5/6 (b) −2/5 (c) −1/6 (d) −5/6
  9. 9.Which is bigger: −1/3 or −1/2? (a) −1/2 (b) −1/3
  10. 10.Is 7/3 positive or negative? (a) Positive (b) Negative
  11. 11.What is (−2/3) − (−4/9)? (a) 1/6 (b) −10/9 (c) −2/9 (d) 2/9
  12. 12.Is 1/9 positive or negative? (a) Positive (b) Negative
  13. 13.What is 5/7 + (−5/9)? (a) −10/63 (b) 10/63 (c) 80/63 (d) 0
  14. 14.Is 5/9 positive or negative? (a) Positive (b) Negative
  15. 15.What is (−1/8) − 4/5? (a) 27/40 (b) 37/40 (c) −37/40 (d) −5/13
  16. 16.What is (−2/5) + 1/8? (a) 11/40 (b) −1/13 (c) −21/40 (d) −11/40
  17. 17.Which is bigger: −1/7 or −5/8? (a) −1/7 (b) −5/8
  18. 18.Is 3/6 positive or negative? (a) Positive (b) Negative
  19. 19.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  20. 20.What is (−3/7) − 3/5? (a) −1/2 (b) −36/35 (c) 36/35 (d) 6/35
  21. 21.What is (−3/4) + (−3/5)? (a) −3/20 (b) −27/20 (c) −2/3 (d) 27/20
  22. 22.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −25/40 (c) −5/8 (d) −8/5
  23. 23.Is 1/5 positive or negative? (a) Positive (b) Negative
  24. 24.Is −2/3 positive or negative? (a) Negative (b) Positive
  25. 25.Is −7/3 positive or negative? (a) Positive (b) Negative
  26. 26.Which is smaller: −1/7 or −5/7? (a) −1/7 (b) −5/7
  27. 27.What is (−1/4) + (−8/9)? (a) 41/36 (b) 23/36 (c) −9/13 (d) −41/36
  28. 28.What is (−1/5) + 5/7? (a) −18/35 (b) −32/35 (c) 18/35 (d) 1/3
  29. 29.Which is smaller: −6/7 or −1/8? (a) −6/7 (b) −1/8
  30. 30.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) −25/35 (b) −5/7 (c) 5/7 (d) −7/5
  31. 31.Which is smaller: −8/9 or −1/9? (a) −1/9 (b) −8/9
  32. 32.Which is bigger: −7/9 or 2/5? (a) −7/9 (b) 2/5
  33. 33.What is the additive inverse of 3/8? (a) 8/3 (b) −8/3 (c) 3/8 (d) −3/8
  34. 34.Which is bigger: −8/9 or 1/8? (a) −8/9 (b) 1/8
  35. 35.Is −5/8 positive or negative? (a) Positive (b) Negative
  36. 36.What is the additive inverse of −1/4? (a) 4 (b) −4 (c) −1/4 (d) 1/4
  37. 37.What is 3/5 + (−3/7)? (a) 36/35 (b) −6/35 (c) 0 (d) 6/35
  38. 38.What is 2/5 − (−7/8)? (a) 51/40 (b) −19/40 (c) −51/40 (d) 9/13
  39. 39.Which is smaller: −7/8 or 1/4? (a) 1/4 (b) −7/8
  40. 40.What is 3/7 + (−3/5)? (a) 6/35 (b) 0 (c) 36/35 (d) −6/35

Answer key

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

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