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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 918 · 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 reciprocal (multiplicative inverse) of 7/9? (a) 9/7 (b) −7/9 (c) −9/7 (d) 7/9
  2. 2.Which is bigger: −1/5 or −2/5? (a) −2/5 (b) −1/5
  3. 3.Is 2/7 positive or negative? (a) Positive (b) Negative
  4. 4.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 4/3 (c) 3/4 (d) −3/4
  5. 5.What is (−5/7) + (−1/3)? (a) −22/21 (b) 22/21 (c) −3/5 (d) −8/21
  6. 6.What is the additive inverse of 5/9? (a) 9/5 (b) −9/5 (c) 5/9 (d) −5/9
  7. 7.Is 5/2 positive or negative? (a) Negative (b) Positive
  8. 8.Which is smaller: −3/5 or 1/4? (a) −3/5 (b) 1/4
  9. 9.What is (−4/5) − 1/9? (a) 41/45 (b) −31/45 (c) −41/45 (d) −5/14
  10. 10.Write −28/36 in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −7/9 (d) −28/36
  11. 11.What is (−5/7) + (−1/9)? (a) −52/63 (b) 52/63 (c) −3/8 (d) −38/63
  12. 12.What is 2/9 − (−7/8)? (a) 9/17 (b) −79/72 (c) −47/72 (d) 79/72
  13. 13.What is the additive inverse of −1/2? (a) 1/2 (b) −2 (c) 2 (d) −1/2
  14. 14.What is 3/4 − (−1/9)? (a) −31/36 (b) 31/36 (c) 4/13 (d) 23/36
  15. 15.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −15/24 (b) −5/8 (c) −8/5 (d) 5/8
  16. 16.Which is bigger: −4/5 or −1/8? (a) −1/8 (b) −4/5
  17. 17.What is (−1/2) + 2/3? (a) −1/6 (b) 1/5 (c) 1/6 (d) −7/6
  18. 18.Which is bigger: −6/7 or 2/5? (a) 2/5 (b) −6/7
  19. 19.Which is smaller: −1/5 or −1/6? (a) −1/6 (b) −1/5
  20. 20.Which is bigger: −5/9 or −2/5? (a) −5/9 (b) −2/5
  21. 21.What is 1/8 + (−1/2)? (a) 5/8 (b) 0 (c) 3/8 (d) −3/8
  22. 22.Write −12/42 in standard form (lowest terms, positive denominator). (a) −12/42 (b) −7/2 (c) 2/7 (d) −2/7
  23. 23.Which is smaller: −1/2 or 1/9? (a) −1/2 (b) 1/9
  24. 24.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −35/45 (b) −9/7 (c) 7/9 (d) −7/9
  25. 25.What is 3/4 + (−2/3)? (a) −1/12 (b) 1/7 (c) 1/12 (d) 17/12
  26. 26.Is 8/8 positive or negative? (a) Negative (b) Positive
  27. 27.Write −6/24 in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −6/24 (d) −1/4
  28. 28.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  29. 29.What is (−4/5) − 3/5? (a) −7/5 (b) 7/5 (c) −1/5 (d) −7/10
  30. 30.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −1/2 (c) −2/4 (d) 1/2
  31. 31.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −8/14 (b) −7/4 (c) −4/7 (d) 4/7
  32. 32.Write −6/8 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) −6/8 (d) 3/4
  33. 33.Write −2/12 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) −2/12 (d) 1/6
  34. 34.Which is smaller: −1/8 or −8/9? (a) −1/8 (b) −8/9
  35. 35.What is the additive inverse of −1/7? (a) 7 (b) −1/7 (c) 1/7 (d) −7
  36. 36.What is (−5/8) + (−3/4)? (a) −11/8 (b) 11/8 (c) −2/3 (d) 1/8
  37. 37.What is the additive inverse of −5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  38. 38.Is 7/(−7) positive or negative? (a) Positive (b) Negative
  39. 39.What is (−8/9) + (−1/8)? (a) −73/72 (b) −55/72 (c) −9/17 (d) 73/72
  40. 40.What is (−2/9) + (−3/4)? (a) 19/36 (b) −35/36 (c) −5/13 (d) 35/36

Answer key

  1. 9/7
  2. −1/5
  3. Positive
  4. 4/3
  5. −22/21
  6. −5/9
  7. Positive
  8. −3/5
  9. −41/45
  10. −7/9
  11. −52/63
  12. 79/72
  13. 1/2
  14. 31/36
  15. −5/8
  16. −1/8
  17. 1/6
  18. 2/5
  19. −1/5
  20. −2/5
  21. −3/8
  22. −2/7
  23. −1/2
  24. −7/9
  25. 1/12
  26. Positive
  27. −1/4
  28. Positive
  29. −7/5
  30. −1/2
  31. −4/7
  32. −3/4
  33. −1/6
  34. −8/9
  35. 1/7
  36. −11/8
  37. 5/7
  38. Negative
  39. −73/72
  40. −35/36

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