← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 532 · 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.Is 2/(−3) positive or negative? (a) Positive (b) Negative
  2. 2.Is 7/3 positive or negative? (a) Negative (b) Positive
  3. 3.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −9/15 (c) 3/5 (d) −3/5
  4. 4.Which is bigger: −1/6 or 2/5? (a) 2/5 (b) −1/6
  5. 5.Is −9/(−6) positive or negative? (a) Positive (b) Negative
  6. 6.What is (−3/5) − 5/7? (a) 46/35 (b) −2/3 (c) 4/35 (d) −46/35
  7. 7.Which is bigger: −3/5 or 1/5? (a) 1/5 (b) −3/5
  8. 8.Write −6/9 in standard form (lowest terms, positive denominator). (a) −6/9 (b) −2/3 (c) −3/2 (d) 2/3
  9. 9.Is 5/(−2) positive or negative? (a) Positive (b) Negative
  10. 10.What is 3/8 + (−1/5)? (a) 7/40 (b) 23/40 (c) 2/13 (d) −7/40
  11. 11.Is 1/9 positive or negative? (a) Negative (b) Positive
  12. 12.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) −25/30 (d) 5/6
  13. 13.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  14. 14.What is the additive inverse of 5/7? (a) 7/5 (b) −5/7 (c) 5/7 (d) −7/5
  15. 15.Is −1/(−7) positive or negative? (a) Negative (b) Positive
  16. 16.Which is bigger: −8/9 or 1/8? (a) 1/8 (b) −8/9
  17. 17.What is 2/3 + (−4/9)? (a) 10/9 (b) −1/6 (c) −2/9 (d) 2/9
  18. 18.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) −4/3 (c) −3/4 (d) 4/3
  19. 19.Which is smaller: −1/7 or −2/5? (a) −2/5 (b) −1/7
  20. 20.Which is bigger: −7/8 or −1/6? (a) −1/6 (b) −7/8
  21. 21.Write −4/24 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −4/24 (c) 1/6 (d) −6/1
  22. 22.Which is smaller: −3/5 or 1/8? (a) −3/5 (b) 1/8
  23. 23.What is (−2/3) − 5/7? (a) −29/21 (b) −7/10 (c) 1/21 (d) 29/21
  24. 24.Is 7/9 positive or negative? (a) Negative (b) Positive
  25. 25.What is 3/7 − (−4/9)? (a) −1/63 (b) 55/63 (c) 7/16 (d) −55/63
  26. 26.What is the reciprocal (multiplicative inverse) of −2/5? (a) −2/5 (b) 2/5 (c) −5/2 (d) 5/2
  27. 27.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) 3/5 (c) 5/3 (d) −5/3
  28. 28.What is 4/5 − (−3/5)? (a) 7/5 (b) −7/5 (c) 1/5 (d) 7/10
  29. 29.Which is bigger: −5/8 or 5/6? (a) 5/6 (b) −5/8
  30. 30.What is 3/5 − (−1/3)? (a) 14/15 (b) 4/15 (c) 1/2 (d) −14/15
  31. 31.What is the additive inverse of 2/5? (a) −5/2 (b) 5/2 (c) −2/5 (d) 2/5
  32. 32.Write −6/54 in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −6/54 (d) −1/9
  33. 33.Is −5/9 positive or negative? (a) Negative (b) Positive
  34. 34.What is (−2/7) − (−8/9)? (a) −38/63 (b) −74/63 (c) 3/8 (d) 38/63
  35. 35.Which is bigger: −8/9 or 1/5? (a) −8/9 (b) 1/5
  36. 36.Write −3/27 in standard form (lowest terms, positive denominator). (a) −3/27 (b) −9/1 (c) −1/9 (d) 1/9
  37. 37.Which is smaller: −7/8 or −1/5? (a) −1/5 (b) −7/8
  38. 38.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −30/42 (d) −7/5
  39. 39.What is the additive inverse of 1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  40. 40.What is (−2/7) − 2/9? (a) −1/4 (b) −32/63 (c) 32/63 (d) −4/63

Answer key

  1. Negative
  2. Positive
  3. −3/5
  4. 2/5
  5. Positive
  6. −46/35
  7. 1/5
  8. −2/3
  9. Negative
  10. 7/40
  11. Positive
  12. −5/6
  13. −7/6
  14. −5/7
  15. Positive
  16. 1/8
  17. 2/9
  18. 4/3
  19. −2/5
  20. −1/6
  21. −1/6
  22. −3/5
  23. −29/21
  24. Positive
  25. 55/63
  26. −5/2
  27. 5/3
  28. 7/5
  29. 5/6
  30. 14/15
  31. −2/5
  32. −1/9
  33. Negative
  34. 38/63
  35. 1/5
  36. −1/9
  37. −7/8
  38. −5/7
  39. −1/2
  40. −32/63

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets