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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 310 · 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 −4/24 in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −1/6 (d) −4/24
  2. 2.What is (−3/7) − (−2/3)? (a) −5/21 (b) −1/10 (c) −23/21 (d) 5/21
  3. 3.Is 3/6 positive or negative? (a) Positive (b) Negative
  4. 4.Which is smaller: −5/6 or −3/4? (a) −5/6 (b) −3/4
  5. 5.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  6. 6.What is the additive inverse of −1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  7. 7.Is 2/9 positive or negative? (a) Positive (b) Negative
  8. 8.Is 3/4 positive or negative? (a) Positive (b) Negative
  9. 9.Is 9/7 positive or negative? (a) Negative (b) Positive
  10. 10.What is the additive inverse of 1/6? (a) −1/6 (b) 1/6 (c) −6 (d) 6
  11. 11.Is −7/(−3) positive or negative? (a) Positive (b) Negative
  12. 12.What is (−3/5) + 8/9? (a) −67/45 (b) 13/45 (c) 5/14 (d) −13/45
  13. 13.Which is bigger: −1/4 or −3/7? (a) −1/4 (b) −3/7
  14. 14.What is the additive inverse of −1/5? (a) 5 (b) −1/5 (c) −5 (d) 1/5
  15. 15.Is −2/9 positive or negative? (a) Negative (b) Positive
  16. 16.What is (−1/4) + (−3/7)? (a) 19/28 (b) −19/28 (c) −4/11 (d) 5/28
  17. 17.What is 6/7 − (−3/7)? (a) 9/7 (b) 9/14 (c) −9/7 (d) 3/7
  18. 18.Is 8/3 positive or negative? (a) Negative (b) Positive
  19. 19.Which is smaller: −7/8 or 3/5? (a) 3/5 (b) −7/8
  20. 20.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) −4/20 (d) 1/5
  21. 21.Which is bigger: −4/5 or −1/2? (a) −4/5 (b) −1/2
  22. 22.Which is smaller: −1/5 or −2/9? (a) −1/5 (b) −2/9
  23. 23.What is the reciprocal (multiplicative inverse) of 4/9? (a) 9/4 (b) −9/4 (c) 4/9 (d) −4/9
  24. 24.Write −2/6 in standard form (lowest terms, positive denominator). (a) −2/6 (b) −3/1 (c) −1/3 (d) 1/3
  25. 25.What is (−4/9) + 8/9? (a) 2/9 (b) 4/9 (c) −4/3 (d) −4/9
  26. 26.What is 3/5 − (−3/7)? (a) −36/35 (b) 1/2 (c) 6/35 (d) 36/35
  27. 27.What is 4/7 − (−8/9)? (a) −92/63 (b) 92/63 (c) −20/63 (d) 3/4
  28. 28.What is (−3/8) − 2/5? (a) −5/13 (b) 1/40 (c) −31/40 (d) 31/40
  29. 29.Is 1/3 positive or negative? (a) Negative (b) Positive
  30. 30.What is (−4/9) − 1/3? (a) −1/9 (b) −5/12 (c) −7/9 (d) 7/9
  31. 31.What is (−8/9) + 2/5? (a) −3/7 (b) −58/45 (c) −22/45 (d) 22/45
  32. 32.What is the additive inverse of −1/4? (a) −1/4 (b) −4 (c) 1/4 (d) 4
  33. 33.What is the additive inverse of −7/8? (a) 8/7 (b) −8/7 (c) −7/8 (d) 7/8
  34. 34.Which is smaller: −1/7 or −2/3? (a) −2/3 (b) −1/7
  35. 35.What is (−2/5) + 1/5? (a) −1/10 (b) 1/5 (c) −1/5 (d) −3/5
  36. 36.What is (−2/9) + (−2/9)? (a) 0 (b) −2/9 (c) 4/9 (d) −4/9
  37. 37.Is 2/7 positive or negative? (a) Positive (b) Negative
  38. 38.Which is bigger: −1/3 or −1/8? (a) −1/8 (b) −1/3
  39. 39.Which is smaller: −1/7 or −2/5? (a) −2/5 (b) −1/7
  40. 40.What is (−4/9) + 1/9? (a) −1/3 (b) −1/6 (c) 1/3 (d) −5/9

Answer key

  1. −1/6
  2. 5/21
  3. Positive
  4. −5/6
  5. 4
  6. 1/3
  7. Positive
  8. Positive
  9. Positive
  10. −1/6
  11. Positive
  12. 13/45
  13. −1/4
  14. 1/5
  15. Negative
  16. −19/28
  17. 9/7
  18. Positive
  19. −7/8
  20. −1/5
  21. −1/2
  22. −2/9
  23. 9/4
  24. −1/3
  25. 4/9
  26. 36/35
  27. 92/63
  28. −31/40
  29. Positive
  30. −7/9
  31. −22/45
  32. 1/4
  33. 7/8
  34. −2/3
  35. −1/5
  36. −4/9
  37. Positive
  38. −1/8
  39. −2/5
  40. −1/3

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