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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 857 · 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 (−3/5) + 1/5? (a) −2/5 (b) −4/5 (c) 2/5 (d) −1/5
  2. 2.What is (−5/8) + 7/8? (a) −1/4 (b) 1/4 (c) 1/8 (d) −3/2
  3. 3.Is −5/2 positive or negative? (a) Negative (b) Positive
  4. 4.Which is smaller: −1/3 or −3/4? (a) −1/3 (b) −3/4
  5. 5.What is 2/3 + (−5/8)? (a) 31/24 (b) −3/11 (c) 1/24 (d) −1/24
  6. 6.What is 2/9 + (−5/8)? (a) −3/17 (b) 29/72 (c) −29/72 (d) 61/72
  7. 7.What is (−2/9) + 3/7? (a) 13/63 (b) −13/63 (c) −41/63 (d) 1/16
  8. 8.What is (−6/7) + (−4/7)? (a) 10/7 (b) −2/7 (c) −5/7 (d) −10/7
  9. 9.What is the reciprocal (multiplicative inverse) of 3/7? (a) 3/7 (b) −3/7 (c) 7/3 (d) −7/3
  10. 10.What is (−3/7) − 2/5? (a) −29/35 (b) −1/35 (c) 29/35 (d) −5/12
  11. 11.Is −9/(−3) positive or negative? (a) Positive (b) Negative
  12. 12.What is (−7/8) − 1/2? (a) −4/5 (b) 11/8 (c) −3/8 (d) −11/8
  13. 13.Is 8/(−8) positive or negative? (a) Positive (b) Negative
  14. 14.Is −6/(−4) positive or negative? (a) Positive (b) Negative
  15. 15.What is the additive inverse of −1/4? (a) −4 (b) 1/4 (c) −1/4 (d) 4
  16. 16.Which is bigger: −5/9 or −1/7? (a) −1/7 (b) −5/9
  17. 17.Which is smaller: −3/5 or 1/9? (a) −3/5 (b) 1/9
  18. 18.What is (−5/8) + 2/5? (a) 9/40 (b) −9/40 (c) −3/13 (d) −41/40
  19. 19.Is 6/6 positive or negative? (a) Negative (b) Positive
  20. 20.Is 7/2 positive or negative? (a) Positive (b) Negative
  21. 21.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) −35/45 (d) 7/9
  22. 22.Which is bigger: −3/5 or −7/9? (a) −7/9 (b) −3/5
  23. 23.Is 1/(−2) positive or negative? (a) Negative (b) Positive
  24. 24.Is 9/(−4) positive or negative? (a) Positive (b) Negative
  25. 25.Is 3/(−4) positive or negative? (a) Negative (b) Positive
  26. 26.Which is bigger: −2/5 or −2/7? (a) −2/7 (b) −2/5
  27. 27.What is the additive inverse of 1/9? (a) −1/9 (b) −9 (c) 1/9 (d) 9
  28. 28.Is −6/3 positive or negative? (a) Positive (b) Negative
  29. 29.What is (−6/7) − (−1/3)? (a) 11/21 (b) −25/21 (c) −1/2 (d) −11/21
  30. 30.What is the reciprocal (multiplicative inverse) of −5/6? (a) 6/5 (b) −5/6 (c) −6/5 (d) 5/6
  31. 31.What is (−5/8) + (−5/7)? (a) −2/3 (b) 5/56 (c) 75/56 (d) −75/56
  32. 32.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/25 (b) −1/5 (c) −5/1 (d) 1/5
  33. 33.Write −28/32 in standard form (lowest terms, positive denominator). (a) −28/32 (b) −8/7 (c) −7/8 (d) 7/8
  34. 34.What is the additive inverse of 6/7? (a) 7/6 (b) −7/6 (c) −6/7 (d) 6/7
  35. 35.What is the additive inverse of 2/9? (a) 2/9 (b) −2/9 (c) −9/2 (d) 9/2
  36. 36.What is (−5/7) − 8/9? (a) −101/63 (b) 11/63 (c) −13/16 (d) 101/63
  37. 37.What is the additive inverse of 5/8? (a) 8/5 (b) −8/5 (c) 5/8 (d) −5/8
  38. 38.Which is smaller: −8/9 or −5/6? (a) −5/6 (b) −8/9
  39. 39.What is (−1/6) − (−5/6)? (a) 2/3 (b) −1 (c) 1/3 (d) −2/3
  40. 40.What is the reciprocal (multiplicative inverse) of 5/7? (a) −5/7 (b) −7/5 (c) 5/7 (d) 7/5

Answer key

  1. −2/5
  2. 1/4
  3. Negative
  4. −3/4
  5. 1/24
  6. −29/72
  7. 13/63
  8. −10/7
  9. 7/3
  10. −29/35
  11. Positive
  12. −11/8
  13. Negative
  14. Positive
  15. 1/4
  16. −1/7
  17. −3/5
  18. −9/40
  19. Positive
  20. Positive
  21. −7/9
  22. −3/5
  23. Negative
  24. Negative
  25. Negative
  26. −2/7
  27. −1/9
  28. Negative
  29. −11/21
  30. −6/5
  31. −75/56
  32. −1/5
  33. −7/8
  34. −6/7
  35. −2/9
  36. −101/63
  37. −5/8
  38. −8/9
  39. 2/3
  40. 7/5

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