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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 622 · 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 6/(−15) in standard form (lowest terms, positive denominator). (a) −6/15 (b) 2/5 (c) −2/5 (d) −5/2
  2. 2.What is (−3/8) + 6/7? (a) −69/56 (b) 27/56 (c) 1/5 (d) −27/56
  3. 3.What is the additive inverse of 3/8? (a) 8/3 (b) −8/3 (c) 3/8 (d) −3/8
  4. 4.Write −2/8 in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −2/8 (d) −4/1
  5. 5.Is −1/3 positive or negative? (a) Positive (b) Negative
  6. 6.What is (−8/9) + (−1/3)? (a) −5/9 (b) −11/9 (c) −3/4 (d) 11/9
  7. 7.What is (−1/9) − (−1/7)? (a) 2/63 (b) 0 (c) −2/63 (d) −16/63
  8. 8.What is (−3/5) + (−1/8)? (a) −4/13 (b) 29/40 (c) −19/40 (d) −29/40
  9. 9.Which is smaller: −3/5 or −5/7? (a) −3/5 (b) −5/7
  10. 10.What is the additive inverse of 1/8? (a) −8 (b) 8 (c) −1/8 (d) 1/8
  11. 11.Which is bigger: −7/8 or 3/4? (a) −7/8 (b) 3/4
  12. 12.Which is bigger: −5/7 or −3/7? (a) −5/7 (b) −3/7
  13. 13.What is (−2/7) + 1/5? (a) 3/35 (b) −3/35 (c) −1/12 (d) −17/35
  14. 14.What is 3/4 − (−4/7)? (a) 7/11 (b) −37/28 (c) 5/28 (d) 37/28
  15. 15.Which is bigger: −2/3 or −4/7? (a) −2/3 (b) −4/7
  16. 16.What is (−2/3) + (−2/7)? (a) 20/21 (b) −8/21 (c) −2/5 (d) −20/21
  17. 17.What is (−3/4) + 6/7? (a) −3/28 (b) −45/28 (c) 3/28 (d) 3/11
  18. 18.What is the additive inverse of 8/9? (a) −8/9 (b) 8/9 (c) −9/8 (d) 9/8
  19. 19.What is the additive inverse of 1/9? (a) −9 (b) −1/9 (c) 1/9 (d) 9
  20. 20.What is 4/7 + (−7/8)? (a) 17/56 (b) 81/56 (c) −17/56 (d) −1/5
  21. 21.Is −7/5 positive or negative? (a) Positive (b) Negative
  22. 22.Which is bigger: −8/9 or 3/4? (a) −8/9 (b) 3/4
  23. 23.What is (−1/4) + 5/8? (a) −7/8 (b) 3/8 (c) −3/8 (d) 1/3
  24. 24.What is the additive inverse of 5/6? (a) 5/6 (b) 6/5 (c) −6/5 (d) −5/6
  25. 25.What is 1/2 + (−2/5)? (a) −1/10 (b) 9/10 (c) −1/7 (d) 1/10
  26. 26.What is the reciprocal (multiplicative inverse) of −5/9? (a) 5/9 (b) 9/5 (c) −5/9 (d) −9/5
  27. 27.What is the reciprocal (multiplicative inverse) of 4/9? (a) −4/9 (b) 4/9 (c) 9/4 (d) −9/4
  28. 28.What is (−3/8) − (−1/7)? (a) −13/56 (b) −29/56 (c) 13/56 (d) −2/15
  29. 29.Is −9/3 positive or negative? (a) Negative (b) Positive
  30. 30.What is the additive inverse of 3/7? (a) 3/7 (b) −7/3 (c) 7/3 (d) −3/7
  31. 31.Is −1/(−8) positive or negative? (a) Positive (b) Negative
  32. 32.Which is bigger: −1/3 or −2/5? (a) −2/5 (b) −1/3
  33. 33.What is (−2/3) − 7/9? (a) 13/9 (b) −13/9 (c) 1/9 (d) −3/4
  34. 34.Write −24/28 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −24/28 (c) −6/7 (d) −7/6
  35. 35.What is (−8/9) + 4/5? (a) 4/45 (b) −2/7 (c) −4/45 (d) −76/45
  36. 36.What is (−5/8) + 7/9? (a) 2/17 (b) −11/72 (c) 11/72 (d) −101/72
  37. 37.Which is smaller: −2/9 or −4/7? (a) −2/9 (b) −4/7
  38. 38.Write −15/27 in standard form (lowest terms, positive denominator). (a) −5/9 (b) 5/9 (c) −9/5 (d) −15/27
  39. 39.Is −5/(−7) positive or negative? (a) Negative (b) Positive
  40. 40.Which is bigger: −3/4 or −5/6? (a) −3/4 (b) −5/6

Answer key

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

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