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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 952 · 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 −3/9 in standard form (lowest terms, positive denominator). (a) −3/9 (b) −3/1 (c) 1/3 (d) −1/3
  2. 2.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −2 (c) −1/2 (d) 2
  3. 3.What is the additive inverse of −5/9? (a) 9/5 (b) −5/9 (c) −9/5 (d) 5/9
  4. 4.Write −8/10 in standard form (lowest terms, positive denominator). (a) −8/10 (b) −5/4 (c) −4/5 (d) 4/5
  5. 5.Which is bigger: −1/6 or 1/7? (a) −1/6 (b) 1/7
  6. 6.What is (−4/9) + (−7/8)? (a) −11/17 (b) −95/72 (c) 95/72 (d) 31/72
  7. 7.What is (−2/7) − 2/5? (a) −1/3 (b) 24/35 (c) 4/35 (d) −24/35
  8. 8.What is (−5/7) − 1/9? (a) −3/8 (b) −52/63 (c) −38/63 (d) 52/63
  9. 9.What is the additive inverse of −6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  10. 10.What is (−8/9) − (−1/4)? (a) −41/36 (b) −7/13 (c) 23/36 (d) −23/36
  11. 11.Write 15/(−40) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −15/40 (c) −8/3 (d) 3/8
  12. 12.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −5/2 (d) −6/15
  13. 13.What is (−1/7) − 1/5? (a) 12/35 (b) −1/6 (c) −12/35 (d) 2/35
  14. 14.What is (−2/9) + 5/8? (a) 29/72 (b) −29/72 (c) −61/72 (d) 3/17
  15. 15.Is −3/2 positive or negative? (a) Negative (b) Positive
  16. 16.Which is bigger: −5/6 or −1/8? (a) −5/6 (b) −1/8
  17. 17.What is the additive inverse of −5/7? (a) −7/5 (b) 7/5 (c) 5/7 (d) −5/7
  18. 18.What is the additive inverse of −4/7? (a) 4/7 (b) −7/4 (c) 7/4 (d) −4/7
  19. 19.What is (−1/4) + (−8/9)? (a) 23/36 (b) −41/36 (c) 41/36 (d) −9/13
  20. 20.Is −2/8 positive or negative? (a) Negative (b) Positive
  21. 21.Which is smaller: −4/7 or −1/3? (a) −1/3 (b) −4/7
  22. 22.Which is smaller: −2/9 or −1/7? (a) −2/9 (b) −1/7
  23. 23.What is (−3/4) + (−3/8)? (a) −1/2 (b) −9/8 (c) 9/8 (d) −3/8
  24. 24.What is 5/7 − (−2/5)? (a) 39/35 (b) 11/35 (c) −39/35 (d) 7/12
  25. 25.What is (−7/9) − (−8/9)? (a) 1/18 (b) −1/9 (c) 1/9 (d) −5/3
  26. 26.What is the additive inverse of 4/9? (a) −9/4 (b) 9/4 (c) 4/9 (d) −4/9
  27. 27.Is 9/(−3) positive or negative? (a) Negative (b) Positive
  28. 28.What is (−1/8) − 2/3? (a) −3/11 (b) −19/24 (c) 19/24 (d) 13/24
  29. 29.What is (−1/6) + (−5/9)? (a) 7/18 (b) −2/5 (c) 13/18 (d) −13/18
  30. 30.Is 5/(−7) positive or negative? (a) Positive (b) Negative
  31. 31.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) −7 (c) −1/7 (d) 7
  32. 32.What is (−3/4) + 5/7? (a) 2/11 (b) 1/28 (c) −1/28 (d) −41/28
  33. 33.Is −7/2 positive or negative? (a) Positive (b) Negative
  34. 34.What is the additive inverse of 3/7? (a) 3/7 (b) −3/7 (c) 7/3 (d) −7/3
  35. 35.What is (−1/8) + 4/9? (a) −41/72 (b) 23/72 (c) −23/72 (d) 3/17
  36. 36.What is (−7/8) − 3/5? (a) −10/13 (b) −11/40 (c) 59/40 (d) −59/40
  37. 37.Write −35/45 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −35/45 (c) 7/9 (d) −7/9
  38. 38.What is (−3/5) − (−3/4)? (a) 0 (b) 3/20 (c) −27/20 (d) −3/20
  39. 39.What is (−5/6) + (−8/9)? (a) −31/18 (b) 31/18 (c) 1/18 (d) −13/15
  40. 40.What is the reciprocal (multiplicative inverse) of −1/8? (a) −8 (b) 8 (c) −1/8 (d) 1/8

Answer key

  1. −1/3
  2. −2
  3. 5/9
  4. −4/5
  5. 1/7
  6. −95/72
  7. −24/35
  8. −52/63
  9. 6/7
  10. −23/36
  11. −3/8
  12. −2/5
  13. −12/35
  14. 29/72
  15. Negative
  16. −1/8
  17. 5/7
  18. 4/7
  19. −41/36
  20. Negative
  21. −4/7
  22. −2/9
  23. −9/8
  24. 39/35
  25. 1/9
  26. −4/9
  27. Negative
  28. −19/24
  29. −13/18
  30. Negative
  31. 7
  32. −1/28
  33. Negative
  34. −3/7
  35. 23/72
  36. −59/40
  37. −7/9
  38. 3/20
  39. −31/18
  40. −8

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