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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 276 · 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 (−1/6) + 3/8? (a) −5/24 (b) 1/7 (c) 5/24 (d) −13/24
  2. 2.What is 5/7 − (−5/6)? (a) 10/13 (b) −65/42 (c) 65/42 (d) −5/42
  3. 3.What is (−1/9) − (−2/7)? (a) 1/16 (b) −11/63 (c) 11/63 (d) −25/63
  4. 4.What is 3/7 + (−1/6)? (a) 11/42 (b) −11/42 (c) 2/13 (d) 25/42
  5. 5.What is (−2/9) + 5/7? (a) −59/63 (b) 31/63 (c) 3/16 (d) −31/63
  6. 6.Is −9/3 positive or negative? (a) Positive (b) Negative
  7. 7.Is −4/6 positive or negative? (a) Negative (b) Positive
  8. 8.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −21/24 (d) −7/8
  9. 9.Which is bigger: −1/3 or −1/8? (a) −1/8 (b) −1/3
  10. 10.Which is smaller: −7/9 or 8/9? (a) 8/9 (b) −7/9
  11. 11.Which is smaller: −7/8 or 1/3? (a) 1/3 (b) −7/8
  12. 12.What is (−1/8) + 3/4? (a) 5/8 (b) 1/6 (c) −7/8 (d) −5/8
  13. 13.What is the additive inverse of 8/9? (a) 8/9 (b) −8/9 (c) −9/8 (d) 9/8
  14. 14.What is the additive inverse of 2/7? (a) −2/7 (b) 7/2 (c) −7/2 (d) 2/7
  15. 15.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) 7/8 (c) 8/7 (d) −8/7
  16. 16.Which is smaller: −5/7 or 3/4? (a) −5/7 (b) 3/4
  17. 17.What is (−1/7) + 1/4? (a) −3/28 (b) −11/28 (c) 3/28 (d) 0
  18. 18.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) 2/9 (c) −2/9 (d) −9/2
  19. 19.What is the additive inverse of −2/5? (a) 5/2 (b) −2/5 (c) −5/2 (d) 2/5
  20. 20.Is −2/(−8) positive or negative? (a) Positive (b) Negative
  21. 21.What is 1/9 + (−5/9)? (a) −2/9 (b) 4/9 (c) 2/3 (d) −4/9
  22. 22.What is (−1/2) − 5/9? (a) 1/18 (b) −19/18 (c) −6/11 (d) 19/18
  23. 23.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −5/8 (d) −20/32
  24. 24.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) 2/3 (c) −3/2 (d) −2/3
  25. 25.Is 6/(−4) positive or negative? (a) Negative (b) Positive
  26. 26.Write −20/36 in standard form (lowest terms, positive denominator). (a) −20/36 (b) −5/9 (c) 5/9 (d) −9/5
  27. 27.Which is smaller: −7/8 or 1/8? (a) −7/8 (b) 1/8
  28. 28.What is (−2/5) − 3/8? (a) −31/40 (b) −1/40 (c) −5/13 (d) 31/40
  29. 29.Is −7/4 positive or negative? (a) Negative (b) Positive
  30. 30.Which is bigger: −1/5 or −7/8? (a) −7/8 (b) −1/5
  31. 31.What is (−6/7) − (−3/5)? (a) −1/4 (b) −51/35 (c) 9/35 (d) −9/35
  32. 32.Write −9/12 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −9/12 (d) −3/4
  33. 33.What is 5/9 + (−2/5)? (a) 43/45 (b) −7/45 (c) 7/45 (d) 3/14
  34. 34.What is (−1/4) − 2/9? (a) −1/36 (b) −3/13 (c) 17/36 (d) −17/36
  35. 35.What is 1/8 + (−4/9)? (a) 41/72 (b) −23/72 (c) −3/17 (d) 23/72
  36. 36.Write −24/27 in standard form (lowest terms, positive denominator). (a) −24/27 (b) 8/9 (c) −8/9 (d) −9/8
  37. 37.Is −7/(−5) positive or negative? (a) Positive (b) Negative
  38. 38.What is the additive inverse of −1/7? (a) 1/7 (b) 7 (c) −1/7 (d) −7
  39. 39.Which is bigger: −4/5 or −2/9? (a) −4/5 (b) −2/9
  40. 40.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −4/8 (d) −1/2

Answer key

  1. 5/24
  2. 65/42
  3. 11/63
  4. 11/42
  5. 31/63
  6. Negative
  7. Negative
  8. −7/8
  9. −1/8
  10. −7/9
  11. −7/8
  12. 5/8
  13. −8/9
  14. −2/7
  15. 8/7
  16. −5/7
  17. 3/28
  18. −9/2
  19. 2/5
  20. Positive
  21. −4/9
  22. −19/18
  23. −5/8
  24. 3/2
  25. Negative
  26. −5/9
  27. −7/8
  28. −31/40
  29. Negative
  30. −1/5
  31. −9/35
  32. −3/4
  33. 7/45
  34. −17/36
  35. −23/72
  36. −8/9
  37. Positive
  38. 1/7
  39. −2/9
  40. −1/2

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