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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 766 · 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 −5/9? (a) 5/9 (b) −9/5 (c) 9/5 (d) −5/9
  2. 2.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −6/54 (b) −1/9 (c) 1/9 (d) −9/1
  3. 3.Is 7/(−8) positive or negative? (a) Negative (b) Positive
  4. 4.What is the additive inverse of 2/7? (a) 7/2 (b) −2/7 (c) 2/7 (d) −7/2
  5. 5.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) −5/2 (c) −2/5 (d) 5/2
  6. 6.Which is smaller: −1/5 or −3/5? (a) −1/5 (b) −3/5
  7. 7.What is (−1/8) − 7/9? (a) 65/72 (b) −8/17 (c) −65/72 (d) 47/72
  8. 8.What is (−2/5) + 8/9? (a) 3/7 (b) −58/45 (c) 22/45 (d) −22/45
  9. 9.What is 8/9 − (−3/7)? (a) 11/16 (b) −83/63 (c) 29/63 (d) 83/63
  10. 10.What is (−6/7) − 5/9? (a) −11/16 (b) 89/63 (c) −19/63 (d) −89/63
  11. 11.What is (−7/9) + (−5/7)? (a) 94/63 (b) −3/4 (c) −4/63 (d) −94/63
  12. 12.What is (−7/9) − 3/8? (a) −29/72 (b) 83/72 (c) −10/17 (d) −83/72
  13. 13.What is the additive inverse of −3/8? (a) −8/3 (b) −3/8 (c) 3/8 (d) 8/3
  14. 14.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) −20/32 (b) 5/8 (c) −5/8 (d) −8/5
  15. 15.What is 3/4 + (−5/8)? (a) 11/8 (b) −1/6 (c) −1/8 (d) 1/8
  16. 16.What is (−4/5) − 4/9? (a) −4/7 (b) −16/45 (c) 56/45 (d) −56/45
  17. 17.Which is smaller: −2/3 or −6/7? (a) −2/3 (b) −6/7
  18. 18.What is the additive inverse of −2/9? (a) 2/9 (b) −9/2 (c) −2/9 (d) 9/2
  19. 19.What is (−8/9) − 1/8? (a) 73/72 (b) −9/17 (c) −73/72 (d) −55/72
  20. 20.What is the additive inverse of 1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  21. 21.Is 3/5 positive or negative? (a) Positive (b) Negative
  22. 22.Which is bigger: −1/5 or 1/3? (a) −1/5 (b) 1/3
  23. 23.What is 3/7 + (−1/4)? (a) 5/28 (b) 2/11 (c) −5/28 (d) 19/28
  24. 24.What is 4/5 + (−1/4)? (a) −11/20 (b) 1/3 (c) 11/20 (d) 21/20
  25. 25.Is 1/(−4) positive or negative? (a) Negative (b) Positive
  26. 26.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −7/8 (d) −21/24
  27. 27.What is 8/9 + (−1/7)? (a) −47/63 (b) 7/16 (c) 65/63 (d) 47/63
  28. 28.What is (−6/7) + 5/8? (a) 13/56 (b) −1/15 (c) −83/56 (d) −13/56
  29. 29.What is (−3/5) − 3/7? (a) 36/35 (b) −1/2 (c) −6/35 (d) −36/35
  30. 30.What is (−3/4) − 7/8? (a) −13/8 (b) 1/8 (c) 13/8 (d) −5/6
  31. 31.Which is bigger: −1/3 or 2/3? (a) −1/3 (b) 2/3
  32. 32.Which is bigger: −2/3 or 2/7? (a) 2/7 (b) −2/3
  33. 33.What is (−1/9) − 1/3? (a) −1/6 (b) −4/9 (c) 2/9 (d) 4/9
  34. 34.Write −6/15 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) 2/5 (d) −6/15
  35. 35.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −3/6 (d) −1/2
  36. 36.What is (−1/6) − (−1/8)? (a) −1/24 (b) −7/24 (c) 0 (d) 1/24
  37. 37.What is 1/4 + (−1/5)? (a) 0 (b) 9/20 (c) 1/20 (d) −1/20
  38. 38.What is (−4/7) − (−2/7)? (a) −2/7 (b) −1/7 (c) −6/7 (d) 2/7
  39. 39.Which is bigger: −1/3 or −6/7? (a) −1/3 (b) −6/7
  40. 40.Is −3/(−8) positive or negative? (a) Positive (b) Negative

Answer key

  1. 5/9
  2. −1/9
  3. Negative
  4. −2/7
  5. 5/2
  6. −3/5
  7. −65/72
  8. 22/45
  9. 83/63
  10. −89/63
  11. −94/63
  12. −83/72
  13. 3/8
  14. −5/8
  15. 1/8
  16. −56/45
  17. −6/7
  18. 2/9
  19. −73/72
  20. −1/7
  21. Positive
  22. 1/3
  23. 5/28
  24. 11/20
  25. Negative
  26. −7/8
  27. 47/63
  28. −13/56
  29. −36/35
  30. −13/8
  31. 2/3
  32. 2/7
  33. −4/9
  34. −2/5
  35. −1/2
  36. −1/24
  37. 1/20
  38. −2/7
  39. −1/3
  40. Positive

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