← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 754 · 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 the additive inverse of −7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8
  2. 2.What is 5/6 + (−2/3)? (a) 1/6 (b) 3/2 (c) 1/3 (d) −1/6
  3. 3.What is (−1/5) + 1/7? (a) −2/35 (b) −12/35 (c) 2/35 (d) 0
  4. 4.Which is bigger: −6/7 or −3/5? (a) −6/7 (b) −3/5
  5. 5.Is 1/(−3) positive or negative? (a) Negative (b) Positive
  6. 6.Which is bigger: −2/9 or 3/4? (a) 3/4 (b) −2/9
  7. 7.Write −4/36 in standard form (lowest terms, positive denominator). (a) −4/36 (b) 1/9 (c) −9/1 (d) −1/9
  8. 8.Which is bigger: −3/4 or −2/3? (a) −3/4 (b) −2/3
  9. 9.What is the additive inverse of 1/9? (a) 1/9 (b) −9 (c) −1/9 (d) 9
  10. 10.Which is bigger: −5/7 or 1/6? (a) 1/6 (b) −5/7
  11. 11.Is 5/5 positive or negative? (a) Positive (b) Negative
  12. 12.What is the additive inverse of 4/9? (a) −4/9 (b) 9/4 (c) 4/9 (d) −9/4
  13. 13.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) −1/2 (c) 2 (d) 1/2
  14. 14.What is the additive inverse of −4/9? (a) 9/4 (b) −4/9 (c) 4/9 (d) −9/4
  15. 15.What is (−2/5) − (−2/5)? (a) −4/5 (b) 0
  16. 16.What is 5/9 + (−2/5)? (a) 7/45 (b) 3/14 (c) −7/45 (d) 43/45
  17. 17.Is 3/5 positive or negative? (a) Negative (b) Positive
  18. 18.What is the reciprocal (multiplicative inverse) of −4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  19. 19.What is the additive inverse of 1/8? (a) −8 (b) 1/8 (c) 8 (d) −1/8
  20. 20.Write −20/32 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −8/5 (d) −20/32
  21. 21.Is −9/(−5) positive or negative? (a) Positive (b) Negative
  22. 22.What is the reciprocal (multiplicative inverse) of 4/9? (a) −4/9 (b) 4/9 (c) −9/4 (d) 9/4
  23. 23.What is (−4/5) − (−2/5)? (a) 2/5 (b) −1/5 (c) −2/5 (d) −6/5
  24. 24.Which is smaller: −1/6 or 4/9? (a) 4/9 (b) −1/6
  25. 25.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −6/54 (b) −1/9 (c) −9/1 (d) 1/9
  26. 26.What is (−1/6) − (−5/8)? (a) 2/7 (b) −19/24 (c) 11/24 (d) −11/24
  27. 27.Is 4/5 positive or negative? (a) Negative (b) Positive
  28. 28.Which is bigger: −3/4 or 2/7? (a) −3/4 (b) 2/7
  29. 29.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) −5/8 (c) −8/5 (d) 8/5
  30. 30.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/4 (b) 1/2 (c) −1/2 (d) −2/1
  31. 31.Which is smaller: −1/4 or −2/5? (a) −2/5 (b) −1/4
  32. 32.Is 1/(−6) positive or negative? (a) Negative (b) Positive
  33. 33.Is −9/2 positive or negative? (a) Positive (b) Negative
  34. 34.What is (−4/9) − (−3/7)? (a) −1/16 (b) 1/63 (c) −55/63 (d) −1/63
  35. 35.Is −9/(−7) positive or negative? (a) Positive (b) Negative
  36. 36.Which is bigger: −7/9 or −1/8? (a) −1/8 (b) −7/9
  37. 37.Is −8/8 positive or negative? (a) Negative (b) Positive
  38. 38.What is 1/6 + (−1/6)? (a) 1/3 (b) 0
  39. 39.Which is smaller: −1/6 or −1/9? (a) −1/9 (b) −1/6
  40. 40.Write −10/12 in standard form (lowest terms, positive denominator). (a) −5/6 (b) 5/6 (c) −6/5 (d) −10/12

Answer key

  1. 7/8
  2. 1/6
  3. −2/35
  4. −3/5
  5. Negative
  6. 3/4
  7. −1/9
  8. −2/3
  9. −1/9
  10. 1/6
  11. Positive
  12. −4/9
  13. 2
  14. 4/9
  15. 0
  16. 7/45
  17. Positive
  18. −5/4
  19. −1/8
  20. −5/8
  21. Positive
  22. 9/4
  23. −2/5
  24. −1/6
  25. −1/9
  26. 11/24
  27. Positive
  28. 2/7
  29. 8/5
  30. −1/2
  31. −2/5
  32. Negative
  33. Negative
  34. −1/63
  35. Positive
  36. −1/8
  37. Negative
  38. 0
  39. −1/6
  40. −5/6

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