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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 378 · 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.Which is smaller: −5/8 or 1/5? (a) −5/8 (b) 1/5
  2. 2.Is 8/4 positive or negative? (a) Negative (b) Positive
  3. 3.What is the additive inverse of −4/5? (a) −5/4 (b) 4/5 (c) 5/4 (d) −4/5
  4. 4.Which is bigger: −2/5 or −7/8? (a) −2/5 (b) −7/8
  5. 5.Which is bigger: −1/7 or −5/9? (a) −5/9 (b) −1/7
  6. 6.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −5/1 (d) −2/10
  7. 7.What is (−2/9) − (−1/9)? (a) −1/18 (b) 1/9 (c) −1/3 (d) −1/9
  8. 8.Write −8/10 in standard form (lowest terms, positive denominator). (a) −8/10 (b) −4/5 (c) 4/5 (d) −5/4
  9. 9.What is (−4/7) − 2/9? (a) −22/63 (b) −3/8 (c) 50/63 (d) −50/63
  10. 10.Which is bigger: −1/3 or −5/7? (a) −1/3 (b) −5/7
  11. 11.Which is bigger: −3/5 or −2/5? (a) −3/5 (b) −2/5
  12. 12.Is 3/8 positive or negative? (a) Positive (b) Negative
  13. 13.Is −8/(−7) positive or negative? (a) Negative (b) Positive
  14. 14.Which is bigger: −3/5 or −1/2? (a) −3/5 (b) −1/2
  15. 15.Which is bigger: −4/5 or −2/9? (a) −2/9 (b) −4/5
  16. 16.What is 2/3 − (−3/5)? (a) −19/15 (b) 5/8 (c) 19/15 (d) 1/15
  17. 17.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −24/27 (c) −9/8 (d) 8/9
  18. 18.What is (−1/7) + 5/9? (a) −44/63 (b) 1/4 (c) 26/63 (d) −26/63
  19. 19.What is the reciprocal (multiplicative inverse) of 4/5? (a) 5/4 (b) −5/4 (c) −4/5 (d) 4/5
  20. 20.Is 1/2 positive or negative? (a) Positive (b) Negative
  21. 21.What is (−3/8) + 1/2? (a) 1/8 (b) −1/8 (c) −1/5 (d) −7/8
  22. 22.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −3/24 (d) −1/8
  23. 23.What is (−1/3) − (−4/7)? (a) 5/21 (b) −5/21 (c) 3/10 (d) −19/21
  24. 24.Is 5/(−6) positive or negative? (a) Positive (b) Negative
  25. 25.What is (−7/9) + (−7/9)? (a) −7/9 (b) −14/9 (c) 14/9 (d) 0
  26. 26.Is −2/2 positive or negative? (a) Negative (b) Positive
  27. 27.Which is bigger: −3/8 or 1/4? (a) −3/8 (b) 1/4
  28. 28.What is the additive inverse of −2/9? (a) −9/2 (b) 9/2 (c) 2/9 (d) −2/9
  29. 29.What is the additive inverse of 4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  30. 30.Is −7/5 positive or negative? (a) Negative (b) Positive
  31. 31.Is 8/(−7) positive or negative? (a) Negative (b) Positive
  32. 32.Which is smaller: −1/7 or −2/5? (a) −2/5 (b) −1/7
  33. 33.What is 4/5 − (−1/6)? (a) 19/30 (b) 29/30 (c) 5/11 (d) −29/30
  34. 34.What is the additive inverse of −6/7? (a) 7/6 (b) −7/6 (c) −6/7 (d) 6/7
  35. 35.What is (−3/7) + (−3/7)? (a) −3/7 (b) 6/7 (c) −6/7 (d) 0
  36. 36.What is (−6/7) + (−1/3)? (a) −25/21 (b) −7/10 (c) 25/21 (d) −11/21
  37. 37.Which is smaller: −1/7 or −4/5? (a) −1/7 (b) −4/5
  38. 38.Write −6/48 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −6/48 (c) −1/8 (d) 1/8
  39. 39.Is −4/(−7) positive or negative? (a) Positive (b) Negative
  40. 40.What is (−1/4) − (−1/4)? (a) 0 (b) −1/2

Answer key

  1. −5/8
  2. Positive
  3. 4/5
  4. −2/5
  5. −1/7
  6. −1/5
  7. −1/9
  8. −4/5
  9. −50/63
  10. −1/3
  11. −2/5
  12. Positive
  13. Positive
  14. −1/2
  15. −2/9
  16. 19/15
  17. −8/9
  18. 26/63
  19. 5/4
  20. Positive
  21. 1/8
  22. −1/8
  23. 5/21
  24. Negative
  25. −14/9
  26. Negative
  27. 1/4
  28. 2/9
  29. −4/5
  30. Negative
  31. Negative
  32. −2/5
  33. 29/30
  34. 6/7
  35. −6/7
  36. −25/21
  37. −4/5
  38. −1/8
  39. Positive
  40. 0

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