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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 379 · 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.Which is bigger: −5/7 or −2/7? (a) −2/7 (b) −5/7
  2. 2.Is 9/8 positive or negative? (a) Negative (b) Positive
  3. 3.Is −1/2 positive or negative? (a) Negative (b) Positive
  4. 4.What is (−4/5) + 3/4? (a) 1/20 (b) −1/20 (c) −31/20 (d) −1/9
  5. 5.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) −3/7 (c) 7/3 (d) −7/3
  6. 6.Which is bigger: −4/7 or −5/7? (a) −4/7 (b) −5/7
  7. 7.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) −5/9 (c) −9/5 (d) 5/9
  8. 8.What is (−1/5) + 5/9? (a) 2/7 (b) 16/45 (c) −16/45 (d) −34/45
  9. 9.What is (−3/5) + 4/9? (a) 1/14 (b) 7/45 (c) −47/45 (d) −7/45
  10. 10.What is the reciprocal (multiplicative inverse) of −2/3? (a) 3/2 (b) −3/2 (c) 2/3 (d) −2/3
  11. 11.What is the reciprocal (multiplicative inverse) of −7/9? (a) −9/7 (b) −7/9 (c) 7/9 (d) 9/7
  12. 12.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −4/14 (c) −2/7 (d) −7/2
  13. 13.Which is bigger: −1/3 or −3/5? (a) −3/5 (b) −1/3
  14. 14.Which is smaller: −1/5 or −4/5? (a) −1/5 (b) −4/5
  15. 15.What is (−3/7) + (−4/5)? (a) 43/35 (b) 13/35 (c) −43/35 (d) −7/12
  16. 16.What is (−3/8) + (−3/4)? (a) −9/8 (b) −1/2 (c) 3/8 (d) 9/8
  17. 17.What is the additive inverse of −5/8? (a) 5/8 (b) 8/5 (c) −8/5 (d) −5/8
  18. 18.Write −21/24 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −21/24 (c) −7/8 (d) 7/8
  19. 19.What is the additive inverse of −3/7? (a) −3/7 (b) 7/3 (c) 3/7 (d) −7/3
  20. 20.Which is smaller: −1/4 or −4/9? (a) −4/9 (b) −1/4
  21. 21.Is 2/5 positive or negative? (a) Positive (b) Negative
  22. 22.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −5/9 (d) −10/18
  23. 23.What is (−1/9) + (−3/8)? (a) −4/17 (b) 19/72 (c) −35/72 (d) 35/72
  24. 24.Is −6/4 positive or negative? (a) Positive (b) Negative
  25. 25.Is 8/3 positive or negative? (a) Negative (b) Positive
  26. 26.Is 5/(−7) positive or negative? (a) Positive (b) Negative
  27. 27.Is 3/2 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−4/9) − (−1/7)? (a) 19/63 (b) −3/16 (c) −19/63 (d) −37/63
  29. 29.Write −3/12 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −3/12 (c) 1/4 (d) −1/4
  30. 30.What is 3/7 − (−4/5)? (a) −13/35 (b) 7/12 (c) 43/35 (d) −43/35
  31. 31.What is 3/8 + (−1/2)? (a) 1/5 (b) −1/8 (c) 1/8 (d) 7/8
  32. 32.Is 9/3 positive or negative? (a) Positive (b) Negative
  33. 33.Is −4/(−3) positive or negative? (a) Negative (b) Positive
  34. 34.Is 4/8 positive or negative? (a) Positive (b) Negative
  35. 35.What is (−1/5) + (−4/9)? (a) 11/45 (b) −5/14 (c) 29/45 (d) −29/45
  36. 36.What is the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) 9/8 (c) −9/8 (d) −8/9
  37. 37.What is (−5/9) − (−4/9)? (a) 1/9 (b) −1 (c) −1/18 (d) −1/9
  38. 38.Is −5/(−8) positive or negative? (a) Positive (b) Negative
  39. 39.What is 1/5 + (−2/9)? (a) −1/14 (b) 19/45 (c) −1/45 (d) 1/45
  40. 40.Which is smaller: −1/2 or 2/5? (a) 2/5 (b) −1/2

Answer key

  1. −2/7
  2. Positive
  3. Negative
  4. −1/20
  5. −7/3
  6. −4/7
  7. 9/5
  8. 16/45
  9. −7/45
  10. −3/2
  11. −9/7
  12. −2/7
  13. −1/3
  14. −4/5
  15. −43/35
  16. −9/8
  17. 5/8
  18. −7/8
  19. 3/7
  20. −4/9
  21. Positive
  22. −5/9
  23. −35/72
  24. Negative
  25. Positive
  26. Negative
  27. Positive
  28. −19/63
  29. −1/4
  30. 43/35
  31. −1/8
  32. Positive
  33. Positive
  34. Positive
  35. −29/45
  36. 9/8
  37. −1/9
  38. Positive
  39. −1/45
  40. −1/2

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