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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 672 · 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 1/7? (a) −7 (b) 1/7 (c) −1/7 (d) 7
  2. 2.What is (−4/9) − 1/4? (a) 25/36 (b) −7/36 (c) −5/13 (d) −25/36
  3. 3.Which is smaller: −1/2 or −3/4? (a) −1/2 (b) −3/4
  4. 4.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) −4/9 (c) 9/4 (d) −9/4
  5. 5.What is (−2/5) − 5/8? (a) 9/40 (b) −41/40 (c) 41/40 (d) −7/13
  6. 6.What is (−5/9) − 2/7? (a) 53/63 (b) −17/63 (c) −53/63 (d) −7/16
  7. 7.What is (−1/3) − 1/4? (a) −7/12 (b) −1/12 (c) −2/7 (d) 7/12
  8. 8.What is 1/5 − (−3/5)? (a) 4/5 (b) −4/5 (c) 2/5 (d) −2/5
  9. 9.What is 1/2 + (−3/5)? (a) 11/10 (b) 1/10 (c) −1/10 (d) −2/7
  10. 10.Which is smaller: −1/5 or −3/5? (a) −1/5 (b) −3/5
  11. 11.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −24/42 (d) −4/7
  12. 12.Which is bigger: −2/3 or 1/9? (a) −2/3 (b) 1/9
  13. 13.Which is bigger: −4/5 or −1/2? (a) −1/2 (b) −4/5
  14. 14.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −2/5 (d) −4/10
  15. 15.What is 3/4 + (−5/8)? (a) 11/8 (b) −1/6 (c) −1/8 (d) 1/8
  16. 16.Is −2/4 positive or negative? (a) Negative (b) Positive
  17. 17.Which is bigger: −3/4 or −5/7? (a) −5/7 (b) −3/4
  18. 18.Which is bigger: −7/9 or 3/5? (a) −7/9 (b) 3/5
  19. 19.Is −9/(−7) positive or negative? (a) Positive (b) Negative
  20. 20.Write −4/14 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −2/7 (d) −4/14
  21. 21.What is (−1/9) − 6/7? (a) −7/16 (b) −61/63 (c) 47/63 (d) 61/63
  22. 22.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −6/7 (b) −12/14 (c) 6/7 (d) −7/6
  23. 23.What is (−2/3) − (−5/8)? (a) 3/11 (b) −31/24 (c) −1/24 (d) 1/24
  24. 24.Is −4/7 positive or negative? (a) Negative (b) Positive
  25. 25.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/4 (b) −1/2 (c) −2/1 (d) 1/2
  26. 26.Which is bigger: −3/7 or 1/3? (a) −3/7 (b) 1/3
  27. 27.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  28. 28.Is 5/6 positive or negative? (a) Negative (b) Positive
  29. 29.What is the additive inverse of 2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
  30. 30.What is (−1/8) + (−5/9)? (a) −6/17 (b) 31/72 (c) −49/72 (d) 49/72
  31. 31.Which is bigger: −4/5 or 4/7? (a) 4/7 (b) −4/5
  32. 32.Which is smaller: −1/8 or −4/7? (a) −4/7 (b) −1/8
  33. 33.Is 2/(−6) positive or negative? (a) Negative (b) Positive
  34. 34.What is the additive inverse of 5/6? (a) 6/5 (b) −6/5 (c) −5/6 (d) 5/6
  35. 35.Is −3/2 positive or negative? (a) Positive (b) Negative
  36. 36.Write −5/10 in standard form (lowest terms, positive denominator). (a) −5/10 (b) 1/2 (c) −2/1 (d) −1/2
  37. 37.What is 7/8 − (−6/7)? (a) 13/15 (b) −97/56 (c) 97/56 (d) 1/56
  38. 38.Which is bigger: −6/7 or −2/5? (a) −6/7 (b) −2/5
  39. 39.What is (−3/8) + (−6/7)? (a) 27/56 (b) −69/56 (c) −3/5 (d) 69/56
  40. 40.Write −6/16 in standard form (lowest terms, positive denominator). (a) −6/16 (b) 3/8 (c) −8/3 (d) −3/8

Answer key

  1. 7
  2. −25/36
  3. −3/4
  4. −9/4
  5. −41/40
  6. −53/63
  7. −7/12
  8. 4/5
  9. −1/10
  10. −3/5
  11. −4/7
  12. 1/9
  13. −1/2
  14. −2/5
  15. 1/8
  16. Negative
  17. −5/7
  18. 3/5
  19. Positive
  20. −2/7
  21. −61/63
  22. −6/7
  23. −1/24
  24. Negative
  25. −1/2
  26. 1/3
  27. 7/2
  28. Positive
  29. −2/9
  30. −49/72
  31. 4/7
  32. −4/7
  33. Negative
  34. −5/6
  35. Negative
  36. −1/2
  37. 97/56
  38. −2/5
  39. −69/56
  40. −3/8

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