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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 855 · 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.Is 9/(−3) positive or negative? (a) Negative (b) Positive
  2. 2.Write −21/24 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −21/24 (c) −7/8 (d) 7/8
  3. 3.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) 2 (c) 1/2 (d) −2
  4. 4.Which is bigger: −3/8 or −1/2? (a) −3/8 (b) −1/2
  5. 5.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) −6/9 (d) 2/3
  6. 6.What is (−4/5) + 7/8? (a) 3/13 (b) 3/40 (c) −67/40 (d) −3/40
  7. 7.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) 1/3 (c) −1/3 (d) −3
  8. 8.What is the reciprocal (multiplicative inverse) of −4/5? (a) −5/4 (b) 4/5 (c) 5/4 (d) −4/5
  9. 9.What is the reciprocal (multiplicative inverse) of −1/4? (a) 1/4 (b) 4 (c) −4 (d) −1/4
  10. 10.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −12/28 (c) −3/7 (d) 3/7
  11. 11.What is 3/4 − (−5/6)? (a) 19/12 (b) 4/5 (c) −1/12 (d) −19/12
  12. 12.Write −10/12 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −10/12 (c) −6/5 (d) 5/6
  13. 13.Is 5/5 positive or negative? (a) Positive (b) Negative
  14. 14.Which is bigger: −4/7 or 7/8? (a) −4/7 (b) 7/8
  15. 15.Which is bigger: −1/4 or −4/7? (a) −1/4 (b) −4/7
  16. 16.Which is bigger: −2/5 or −3/4? (a) −2/5 (b) −3/4
  17. 17.What is (−7/8) + (−1/3)? (a) 29/24 (b) −13/24 (c) −29/24 (d) −8/11
  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 (−4/9) − (−3/8)? (a) −5/72 (b) −1/17 (c) 5/72 (d) −59/72
  20. 20.Is 9/2 positive or negative? (a) Positive (b) Negative
  21. 21.Which is smaller: −2/7 or −1/3? (a) −1/3 (b) −2/7
  22. 22.Which is bigger: −5/9 or −5/8? (a) −5/8 (b) −5/9
  23. 23.What is 1/4 + (−1/3)? (a) 7/12 (b) −1/12 (c) 0 (d) 1/12
  24. 24.What is (−1/2) − (−6/7)? (a) −19/14 (b) 5/9 (c) 5/14 (d) −5/14
  25. 25.Is 4/5 positive or negative? (a) Negative (b) Positive
  26. 26.Which is bigger: −5/9 or 1/4? (a) −5/9 (b) 1/4
  27. 27.Which is smaller: −1/2 or 6/7? (a) 6/7 (b) −1/2
  28. 28.What is (−1/4) + (−3/5)? (a) 7/20 (b) 17/20 (c) −4/9 (d) −17/20
  29. 29.What is (−7/8) + 1/2? (a) 3/8 (b) −11/8 (c) −3/8 (d) −3/5
  30. 30.Write −2/10 in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −1/5 (d) −2/10
  31. 31.What is the additive inverse of −4/5? (a) −4/5 (b) −5/4 (c) 4/5 (d) 5/4
  32. 32.What is 3/5 − (−3/5)? (a) 6/5 (b) −6/5 (c) 0 (d) 3/5
  33. 33.Is 3/(−2) positive or negative? (a) Negative (b) Positive
  34. 34.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) −7/9 (b) 7/9 (c) −21/27 (d) −9/7
  35. 35.Is 7/(−3) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−7/8) + 3/5? (a) 11/40 (b) −59/40 (c) −4/13 (d) −11/40
  37. 37.What is 8/9 − (−1/4)? (a) −41/36 (b) 9/13 (c) 23/36 (d) 41/36
  38. 38.What is 2/3 − (−4/5)? (a) −2/15 (b) 22/15 (c) 3/4 (d) −22/15
  39. 39.Which is smaller: −4/5 or 5/7? (a) 5/7 (b) −4/5
  40. 40.Is −5/2 positive or negative? (a) Negative (b) Positive

Answer key

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

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