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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 206 · 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 2/(−8) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) −2/8 (d) 1/4
  2. 2.Is 3/9 positive or negative? (a) Positive (b) Negative
  3. 3.Which is bigger: −7/8 or −2/3? (a) −7/8 (b) −2/3
  4. 4.Is 1/2 positive or negative? (a) Positive (b) Negative
  5. 5.What is (−5/7) + (−2/7)? (a) −3/7 (b) −1/2 (c) −1 (d) 1
  6. 6.What is (−1/7) + 1/2? (a) 0 (b) −5/14 (c) 5/14 (d) −9/14
  7. 7.What is 1/4 − (−1/4)? (a) 1/4 (b) −1/2 (c) 1/2 (d) 0
  8. 8.Is 8/3 positive or negative? (a) Negative (b) Positive
  9. 9.What is the reciprocal (multiplicative inverse) of 1/7? (a) −7 (b) 7 (c) −1/7 (d) 1/7
  10. 10.What is (−1/9) + 5/7? (a) 1/4 (b) −52/63 (c) 38/63 (d) −38/63
  11. 11.What is (−3/4) + (−8/9)? (a) 5/36 (b) −11/13 (c) −59/36 (d) 59/36
  12. 12.What is (−1/4) − (−3/5)? (a) 7/20 (b) 2/9 (c) −7/20 (d) −17/20
  13. 13.Which is smaller: −2/9 or −2/5? (a) −2/9 (b) −2/5
  14. 14.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) −2/5 (c) −5/2 (d) 2/5
  15. 15.Which is bigger: −1/5 or −2/7? (a) −1/5 (b) −2/7
  16. 16.Is −2/(−4) positive or negative? (a) Positive (b) Negative
  17. 17.What is 5/6 + (−1/6)? (a) 2/3 (b) 1 (c) −2/3 (d) 1/3
  18. 18.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) −7/6 (c) 6/7 (d) 7/6
  19. 19.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −2/9 (c) 9/2 (d) −9/2
  20. 20.Which is smaller: −4/7 or 3/8? (a) 3/8 (b) −4/7
  21. 21.What is 5/8 − (−1/3)? (a) 6/11 (b) −23/24 (c) 7/24 (d) 23/24
  22. 22.What is 4/7 + (−1/3)? (a) 19/21 (b) −5/21 (c) 5/21 (d) 3/10
  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.What is (−3/5) − (−1/5)? (a) −2/5 (b) −4/5 (c) −1/5 (d) 2/5
  25. 25.Which is bigger: −1/9 or −1/8? (a) −1/8 (b) −1/9
  26. 26.Which is bigger: −1/7 or −4/5? (a) −1/7 (b) −4/5
  27. 27.Is −8/(−3) positive or negative? (a) Positive (b) Negative
  28. 28.Is −4/(−3) positive or negative? (a) Positive (b) Negative
  29. 29.What is 4/7 + (−3/8)? (a) 1/15 (b) 53/56 (c) 11/56 (d) −11/56
  30. 30.What is the reciprocal (multiplicative inverse) of 1/6? (a) 1/6 (b) 6 (c) −6 (d) −1/6
  31. 31.Is 1/(−4) positive or negative? (a) Negative (b) Positive
  32. 32.What is 1/7 + (−2/5)? (a) 9/35 (b) −1/12 (c) 19/35 (d) −9/35
  33. 33.What is (−7/9) − (−4/7)? (a) −85/63 (b) −3/16 (c) 13/63 (d) −13/63
  34. 34.What is the additive inverse of −2/7? (a) 2/7 (b) −2/7 (c) 7/2 (d) −7/2
  35. 35.Which is smaller: −1/6 or −5/9? (a) −1/6 (b) −5/9
  36. 36.What is (−3/4) + 5/9? (a) −7/36 (b) −47/36 (c) 2/13 (d) 7/36
  37. 37.What is the additive inverse of 5/8? (a) 5/8 (b) 8/5 (c) −8/5 (d) −5/8
  38. 38.Which is smaller: −1/3 or 5/7? (a) −1/3 (b) 5/7
  39. 39.Is 8/(−5) positive or negative? (a) Positive (b) Negative
  40. 40.Is −4/3 positive or negative? (a) Positive (b) Negative

Answer key

  1. −1/4
  2. Positive
  3. −2/3
  4. Positive
  5. −1
  6. 5/14
  7. 1/2
  8. Positive
  9. 7
  10. 38/63
  11. −59/36
  12. 7/20
  13. −2/5
  14. −5/2
  15. −1/5
  16. Positive
  17. 2/3
  18. −7/6
  19. −9/2
  20. −4/7
  21. 23/24
  22. 5/21
  23. −7/9
  24. −2/5
  25. −1/9
  26. −1/7
  27. Positive
  28. Positive
  29. 11/56
  30. 6
  31. Negative
  32. −9/35
  33. −13/63
  34. 2/7
  35. −5/9
  36. −7/36
  37. −5/8
  38. −1/3
  39. Negative
  40. Negative

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