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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 732 · 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 (−5/9) − (−2/3)? (a) −11/9 (b) −1/4 (c) 1/9 (d) −1/9
  2. 2.What is (−1/9) + 3/7? (a) 1/8 (b) −34/63 (c) −20/63 (d) 20/63
  3. 3.What is (−8/9) − 1/6? (a) −3/5 (b) −19/18 (c) −13/18 (d) 19/18
  4. 4.What is (−2/3) − 3/7? (a) 23/21 (b) −1/2 (c) −23/21 (d) −5/21
  5. 5.What is 1/5 + (−1/8)? (a) −3/40 (b) 13/40 (c) 0 (d) 3/40
  6. 6.Which is smaller: −3/7 or 8/9? (a) −3/7 (b) 8/9
  7. 7.What is the reciprocal (multiplicative inverse) of 1/3? (a) 1/3 (b) −3 (c) 3 (d) −1/3
  8. 8.What is (−1/6) + (−2/9)? (a) −1/5 (b) 1/18 (c) −7/18 (d) 7/18
  9. 9.Which is bigger: −3/8 or −1/9? (a) −3/8 (b) −1/9
  10. 10.Is 8/4 positive or negative? (a) Positive (b) Negative
  11. 11.Which is bigger: −7/8 or −1/6? (a) −1/6 (b) −7/8
  12. 12.What is (−1/9) − 5/7? (a) 38/63 (b) 52/63 (c) −3/8 (d) −52/63
  13. 13.What is 3/5 + (−2/9)? (a) −17/45 (b) 1/14 (c) 17/45 (d) 37/45
  14. 14.What is 5/8 + (−5/9)? (a) 85/72 (b) 5/72 (c) −5/72 (d) 0
  15. 15.Is 8/5 positive or negative? (a) Positive (b) Negative
  16. 16.Is 5/6 positive or negative? (a) Positive (b) Negative
  17. 17.Is −7/(−2) positive or negative? (a) Negative (b) Positive
  18. 18.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −9/8 (b) 8/9 (c) −8/9 (d) −24/27
  19. 19.What is (−4/9) + 5/7? (a) 1/16 (b) −73/63 (c) −17/63 (d) 17/63
  20. 20.What is 2/9 + (−4/7)? (a) −1/8 (b) 22/63 (c) −22/63 (d) 50/63
  21. 21.Write −6/42 in standard form (lowest terms, positive denominator). (a) −6/42 (b) 1/7 (c) −7/1 (d) −1/7
  22. 22.Is 3/4 positive or negative? (a) Positive (b) Negative
  23. 23.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/9 (c) −1/3 (d) −3/1
  24. 24.Which is smaller: −1/7 or −7/9? (a) −1/7 (b) −7/9
  25. 25.Is −7/(−3) positive or negative? (a) Positive (b) Negative
  26. 26.What is (−1/5) + 4/7? (a) −27/35 (b) 13/35 (c) 1/4 (d) −13/35
  27. 27.Which is bigger: −1/5 or 5/9? (a) 5/9 (b) −1/5
  28. 28.Is −2/4 positive or negative? (a) Positive (b) Negative
  29. 29.What is (−6/7) + (−4/9)? (a) −5/8 (b) −26/63 (c) −82/63 (d) 82/63
  30. 30.What is (−1/3) − 1/7? (a) −1/5 (b) −4/21 (c) 10/21 (d) −10/21
  31. 31.What is (−1/9) + (−3/4)? (a) 23/36 (b) −31/36 (c) 31/36 (d) −4/13
  32. 32.Which is bigger: −1/6 or 2/7? (a) 2/7 (b) −1/6
  33. 33.Which is smaller: −1/4 or −7/9? (a) −1/4 (b) −7/9
  34. 34.Which is smaller: −7/9 or 4/9? (a) 4/9 (b) −7/9
  35. 35.Which is smaller: −5/9 or −3/8? (a) −3/8 (b) −5/9
  36. 36.What is (−6/7) + (−3/7)? (a) −9/14 (b) −9/7 (c) 9/7 (d) −3/7
  37. 37.Which is bigger: −2/7 or 4/9? (a) −2/7 (b) 4/9
  38. 38.What is (−4/7) − (−3/5)? (a) −41/35 (b) −1/12 (c) −1/35 (d) 1/35
  39. 39.Which is smaller: −1/8 or 7/9? (a) −1/8 (b) 7/9
  40. 40.What is 1/4 − (−6/7)? (a) 7/11 (b) −31/28 (c) 31/28 (d) −17/28

Answer key

  1. 1/9
  2. 20/63
  3. −19/18
  4. −23/21
  5. 3/40
  6. −3/7
  7. 3
  8. −7/18
  9. −1/9
  10. Positive
  11. −1/6
  12. −52/63
  13. 17/45
  14. 5/72
  15. Positive
  16. Positive
  17. Positive
  18. −8/9
  19. 17/63
  20. −22/63
  21. −1/7
  22. Positive
  23. −1/3
  24. −7/9
  25. Positive
  26. 13/35
  27. 5/9
  28. Negative
  29. −82/63
  30. −10/21
  31. −31/36
  32. 2/7
  33. −7/9
  34. −7/9
  35. −5/9
  36. −9/7
  37. 4/9
  38. 1/35
  39. −1/8
  40. 31/28

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