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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 454 · 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 2/5 − (−1/2)? (a) −1/10 (b) 3/7 (c) 9/10 (d) −9/10
  2. 2.What is 1/5 + (−5/8)? (a) −4/13 (b) 33/40 (c) −17/40 (d) 17/40
  3. 3.What is the additive inverse of 1/9? (a) 9 (b) −1/9 (c) 1/9 (d) −9
  4. 4.Which is bigger: −1/3 or −6/7? (a) −1/3 (b) −6/7
  5. 5.Write −10/25 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −10/25 (c) −5/2 (d) 2/5
  6. 6.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  7. 7.What is (−1/2) + 6/7? (a) −5/14 (b) 5/14 (c) −19/14 (d) 5/9
  8. 8.What is 1/5 − (−5/7)? (a) 32/35 (b) 1/2 (c) −18/35 (d) −32/35
  9. 9.What is (−8/9) − 4/9? (a) −2/3 (b) −4/9 (c) 4/3 (d) −4/3
  10. 10.What is the additive inverse of −6/7? (a) −7/6 (b) 6/7 (c) 7/6 (d) −6/7
  11. 11.Is 9/(−3) positive or negative? (a) Positive (b) Negative
  12. 12.Is 3/8 positive or negative? (a) Positive (b) Negative
  13. 13.What is (−3/5) − (−4/9)? (a) 1/14 (b) −47/45 (c) −7/45 (d) 7/45
  14. 14.Write −36/42 in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −36/42 (d) −6/7
  15. 15.What is (−3/4) + 3/5? (a) 3/20 (b) −27/20 (c) −3/20 (d) 0
  16. 16.Which is bigger: −8/9 or 7/8? (a) 7/8 (b) −8/9
  17. 17.What is 1/9 + (−4/5)? (a) 41/45 (b) −31/45 (c) 31/45 (d) −3/14
  18. 18.What is (−3/4) + 5/7? (a) 1/28 (b) −41/28 (c) 2/11 (d) −1/28
  19. 19.What is (−8/9) + (−4/5)? (a) 76/45 (b) −6/7 (c) −4/45 (d) −76/45
  20. 20.Is 3/(−7) positive or negative? (a) Negative (b) Positive
  21. 21.What is (−5/6) + (−3/8)? (a) −29/24 (b) −4/7 (c) −11/24 (d) 29/24
  22. 22.What is the reciprocal (multiplicative inverse) of 1/5? (a) 5 (b) −1/5 (c) 1/5 (d) −5
  23. 23.Which is smaller: −8/9 or −2/7? (a) −2/7 (b) −8/9
  24. 24.Write −3/18 in standard form (lowest terms, positive denominator). (a) −3/18 (b) −1/6 (c) 1/6 (d) −6/1
  25. 25.What is (−4/9) − 1/3? (a) 7/9 (b) −5/12 (c) −1/9 (d) −7/9
  26. 26.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) −2/9 (c) −9/2 (d) 2/9
  27. 27.Which is smaller: −5/9 or −5/8? (a) −5/9 (b) −5/8
  28. 28.What is the reciprocal (multiplicative inverse) of 8/9? (a) −8/9 (b) −9/8 (c) 9/8 (d) 8/9
  29. 29.Is −4/(−2) positive or negative? (a) Positive (b) Negative
  30. 30.What is (−6/7) + (−1/7)? (a) −5/7 (b) −1 (c) −1/2 (d) 1
  31. 31.Which is smaller: −7/9 or 4/7? (a) 4/7 (b) −7/9
  32. 32.What is 2/7 − (−3/7)? (a) −5/7 (b) −1/7 (c) 5/7 (d) 5/14
  33. 33.Which is smaller: −5/9 or 1/8? (a) −5/9 (b) 1/8
  34. 34.Which is smaller: −4/5 or −1/5? (a) −4/5 (b) −1/5
  35. 35.What is (−7/8) − 3/4? (a) −13/8 (b) −5/6 (c) 13/8 (d) −1/8
  36. 36.What is (−4/5) + 1/4? (a) 11/20 (b) −11/20 (c) −21/20 (d) −1/3
  37. 37.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −6/42 (b) −7/1 (c) −1/7 (d) 1/7
  38. 38.Which is bigger: −2/3 or 1/8? (a) 1/8 (b) −2/3
  39. 39.What is (−6/7) + 5/7? (a) −1/7 (b) 1/7 (c) −1/14 (d) −11/7
  40. 40.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) −6/10 (d) 3/5

Answer key

  1. 9/10
  2. −17/40
  3. −1/9
  4. −1/3
  5. −2/5
  6. Positive
  7. 5/14
  8. 32/35
  9. −4/3
  10. 6/7
  11. Negative
  12. Positive
  13. −7/45
  14. −6/7
  15. −3/20
  16. 7/8
  17. −31/45
  18. −1/28
  19. −76/45
  20. Negative
  21. −29/24
  22. 5
  23. −8/9
  24. −1/6
  25. −7/9
  26. −9/2
  27. −5/8
  28. 9/8
  29. Positive
  30. −1
  31. −7/9
  32. 5/7
  33. −5/9
  34. −4/5
  35. −13/8
  36. −11/20
  37. −1/7
  38. 1/8
  39. −1/7
  40. −3/5

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