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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 803 · 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 (−6/7) + 1/3? (a) −1/2 (b) −11/21 (c) 11/21 (d) −25/21
  2. 2.What is the additive inverse of 1/6? (a) −6 (b) 6 (c) 1/6 (d) −1/6
  3. 3.Which is bigger: −1/3 or 1/5? (a) 1/5 (b) −1/3
  4. 4.What is the additive inverse of 1/8? (a) 8 (b) −8 (c) −1/8 (d) 1/8
  5. 5.Is −9/(−8) positive or negative? (a) Negative (b) Positive
  6. 6.Is −6/4 positive or negative? (a) Positive (b) Negative
  7. 7.Is −8/4 positive or negative? (a) Positive (b) Negative
  8. 8.What is 1/6 + (−1/7)? (a) 13/42 (b) −1/42 (c) 1/42 (d) 0
  9. 9.What is (−4/5) + 1/9? (a) 31/45 (b) −31/45 (c) −3/14 (d) −41/45
  10. 10.What is the reciprocal (multiplicative inverse) of 2/9? (a) −9/2 (b) −2/9 (c) 2/9 (d) 9/2
  11. 11.Which is bigger: −7/8 or −4/7? (a) −4/7 (b) −7/8
  12. 12.What is 8/9 + (−7/8)? (a) 1/17 (b) −1/72 (c) 127/72 (d) 1/72
  13. 13.Which is smaller: −2/3 or −4/7? (a) −2/3 (b) −4/7
  14. 14.Which is bigger: −1/4 or −3/7? (a) −3/7 (b) −1/4
  15. 15.What is the additive inverse of −1/5? (a) 1/5 (b) 5 (c) −1/5 (d) −5
  16. 16.Is 2/9 positive or negative? (a) Positive (b) Negative
  17. 17.Which is smaller: −3/5 or −1/2? (a) −3/5 (b) −1/2
  18. 18.What is (−3/5) + (−1/3)? (a) 14/15 (b) −4/15 (c) −1/2 (d) −14/15
  19. 19.What is the additive inverse of 3/8? (a) −3/8 (b) 8/3 (c) −8/3 (d) 3/8
  20. 20.Is 1/3 positive or negative? (a) Positive (b) Negative
  21. 21.What is 2/7 + (−2/9)? (a) 32/63 (b) 4/63 (c) 0 (d) −4/63
  22. 22.Write −5/20 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) 1/4 (d) −5/20
  23. 23.What is 4/9 + (−6/7)? (a) −26/63 (b) 82/63 (c) 26/63 (d) −1/8
  24. 24.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −2/3 (c) 2/3 (d) −3/2
  25. 25.What is (−1/5) − (−1/5)? (a) 0 (b) −2/5
  26. 26.Write −10/25 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −10/25 (d) −2/5
  27. 27.Write −12/16 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −12/16 (c) 3/4 (d) −4/3
  28. 28.Is 4/(−8) positive or negative? (a) Negative (b) Positive
  29. 29.Which is smaller: −2/7 or −3/8? (a) −3/8 (b) −2/7
  30. 30.What is (−1/4) − 8/9? (a) −41/36 (b) −9/13 (c) 41/36 (d) 23/36
  31. 31.What is 3/4 + (−2/7)? (a) −13/28 (b) 29/28 (c) 13/28 (d) 1/11
  32. 32.What is (−5/9) − 6/7? (a) 19/63 (b) −89/63 (c) 89/63 (d) −11/16
  33. 33.Write −12/27 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) −12/27 (d) 4/9
  34. 34.Which is bigger: −3/4 or 5/7? (a) 5/7 (b) −3/4
  35. 35.What is the reciprocal (multiplicative inverse) of −7/8? (a) −7/8 (b) 7/8 (c) −8/7 (d) 8/7
  36. 36.Write −4/10 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −4/10 (d) −5/2
  37. 37.Is 5/(−9) positive or negative? (a) Negative (b) Positive
  38. 38.Which is bigger: −1/2 or −3/5? (a) −1/2 (b) −3/5
  39. 39.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) −5/4 (c) 4/5 (d) −4/5
  40. 40.Is 8/7 positive or negative? (a) Positive (b) Negative

Answer key

  1. −11/21
  2. −1/6
  3. 1/5
  4. −1/8
  5. Positive
  6. Negative
  7. Negative
  8. 1/42
  9. −31/45
  10. 9/2
  11. −4/7
  12. 1/72
  13. −2/3
  14. −1/4
  15. 1/5
  16. Positive
  17. −3/5
  18. −14/15
  19. −3/8
  20. Positive
  21. 4/63
  22. −1/4
  23. −26/63
  24. 3/2
  25. 0
  26. −2/5
  27. −3/4
  28. Negative
  29. −3/8
  30. −41/36
  31. 13/28
  32. −89/63
  33. −4/9
  34. 5/7
  35. −8/7
  36. −2/5
  37. Negative
  38. −1/2
  39. −5/4
  40. Positive

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