← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 408 · 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 2/4 positive or negative? (a) Positive (b) Negative
  2. 2.What is (−8/9) − (−8/9)? (a) −16/9 (b) 0
  3. 3.What is the additive inverse of −1/6? (a) −6 (b) 1/6 (c) −1/6 (d) 6
  4. 4.Which is bigger: −2/9 or 5/6? (a) 5/6 (b) −2/9
  5. 5.Which is smaller: −1/2 or −5/6? (a) −5/6 (b) −1/2
  6. 6.What is (−5/8) − 4/9? (a) 77/72 (b) −77/72 (c) −9/17 (d) −13/72
  7. 7.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) −6 (c) −1/6 (d) 1/6
  8. 8.What is 5/8 + (−5/9)? (a) 5/72 (b) 0 (c) 85/72 (d) −5/72
  9. 9.What is 2/9 + (−1/4)? (a) 1/13 (b) 1/36 (c) 17/36 (d) −1/36
  10. 10.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −4/12 (d) −1/3
  11. 11.What is 1/9 − (−1/2)? (a) 11/18 (b) −11/18 (c) −7/18 (d) 2/11
  12. 12.What is 1/7 + (−2/9)? (a) 5/63 (b) 23/63 (c) −1/16 (d) −5/63
  13. 13.Which is bigger: −1/6 or 5/9? (a) −1/6 (b) 5/9
  14. 14.What is 3/4 − (−2/3)? (a) 5/7 (b) 1/12 (c) 17/12 (d) −17/12
  15. 15.What is (−2/9) − 1/3? (a) −1/4 (b) 5/9 (c) 1/9 (d) −5/9
  16. 16.What is the additive inverse of 4/9? (a) −4/9 (b) 9/4 (c) 4/9 (d) −9/4
  17. 17.What is (−1/5) + 8/9? (a) −49/45 (b) 31/45 (c) −31/45 (d) 1/2
  18. 18.What is the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) −8/9 (c) 9/8 (d) −9/8
  19. 19.What is (−4/5) + (−5/9)? (a) 61/45 (b) −11/45 (c) −9/14 (d) −61/45
  20. 20.What is (−1/8) + 1/7? (a) 1/56 (b) 0 (c) −1/56 (d) −15/56
  21. 21.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  22. 22.Is −4/(−2) positive or negative? (a) Positive (b) Negative
  23. 23.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −24/28 (c) 6/7 (d) −6/7
  24. 24.Which is smaller: −1/2 or −4/5? (a) −1/2 (b) −4/5
  25. 25.What is (−6/7) − (−5/6)? (a) −1/13 (b) 1/42 (c) −1/42 (d) −71/42
  26. 26.What is the additive inverse of −4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  27. 27.What is (−8/9) + (−1/5)? (a) 49/45 (b) −49/45 (c) −9/14 (d) −31/45
  28. 28.What is the reciprocal (multiplicative inverse) of −1/7? (a) −7 (b) 1/7 (c) −1/7 (d) 7
  29. 29.What is the additive inverse of −1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  30. 30.What is 3/7 + (−1/4)? (a) −5/28 (b) 5/28 (c) 19/28 (d) 2/11
  31. 31.Is −4/(−5) positive or negative? (a) Negative (b) Positive
  32. 32.Is −3/4 positive or negative? (a) Positive (b) Negative
  33. 33.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −2/8 (d) −1/4
  34. 34.What is (−3/4) + 2/3? (a) 1/12 (b) −1/7 (c) −17/12 (d) −1/12
  35. 35.Is 3/4 positive or negative? (a) Positive (b) Negative
  36. 36.Write −25/35 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −25/35 (c) −5/7 (d) 5/7
  37. 37.What is (−1/4) + (−5/8)? (a) −7/8 (b) −1/2 (c) 3/8 (d) 7/8
  38. 38.What is (−2/7) + 1/5? (a) −3/35 (b) −1/12 (c) 3/35 (d) −17/35
  39. 39.Which is smaller: −5/8 or 2/3? (a) −5/8 (b) 2/3
  40. 40.What is 1/7 − (−1/2)? (a) 9/14 (b) −9/14 (c) 2/9 (d) −5/14

Answer key

  1. Positive
  2. 0
  3. 1/6
  4. 5/6
  5. −5/6
  6. −77/72
  7. 6
  8. 5/72
  9. −1/36
  10. −1/3
  11. 11/18
  12. −5/63
  13. 5/9
  14. 17/12
  15. −5/9
  16. −4/9
  17. 31/45
  18. 9/8
  19. −61/45
  20. 1/56
  21. 5/4
  22. Positive
  23. −6/7
  24. −4/5
  25. −1/42
  26. 4/9
  27. −49/45
  28. −7
  29. 1/4
  30. 5/28
  31. Positive
  32. Negative
  33. −1/4
  34. −1/12
  35. Positive
  36. −5/7
  37. −7/8
  38. −3/35
  39. −5/8
  40. 9/14

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