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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 443 · 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 (−1/8) + (−7/9)? (a) −65/72 (b) −8/17 (c) 47/72 (d) 65/72
  2. 2.What is (−2/5) + 1/7? (a) −1/12 (b) −9/35 (c) −19/35 (d) 9/35
  3. 3.Is 1/7 positive or negative? (a) Negative (b) Positive
  4. 4.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −4/8 (b) −2/1 (c) 1/2 (d) −1/2
  5. 5.What is the reciprocal (multiplicative inverse) of 1/7? (a) 1/7 (b) −7 (c) −1/7 (d) 7
  6. 6.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −4/18 (b) 2/9 (c) −2/9 (d) −9/2
  7. 7.What is (−1/3) − (−3/4)? (a) 2/7 (b) −5/12 (c) 5/12 (d) −13/12
  8. 8.What is the additive inverse of 1/9? (a) −1/9 (b) 1/9 (c) −9 (d) 9
  9. 9.Which is bigger: −3/7 or 1/5? (a) 1/5 (b) −3/7
  10. 10.What is (−1/8) + 1/4? (a) 0 (b) −3/8 (c) −1/8 (d) 1/8
  11. 11.Which is smaller: −1/6 or 4/7? (a) 4/7 (b) −1/6
  12. 12.What is (−2/5) + 5/7? (a) −39/35 (b) 1/4 (c) 11/35 (d) −11/35
  13. 13.What is (−2/5) − (−5/9)? (a) 7/45 (b) −43/45 (c) 3/14 (d) −7/45
  14. 14.What is (−3/4) − 3/8? (a) −3/8 (b) −1/2 (c) −9/8 (d) 9/8
  15. 15.What is the additive inverse of 3/8? (a) 3/8 (b) −3/8 (c) 8/3 (d) −8/3
  16. 16.What is the additive inverse of −1/7? (a) 7 (b) 1/7 (c) −7 (d) −1/7
  17. 17.What is (−3/5) − 5/9? (a) 52/45 (b) −4/7 (c) −52/45 (d) −2/45
  18. 18.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 3/2 (c) −2/3 (d) 2/3
  19. 19.Is −9/2 positive or negative? (a) Positive (b) Negative
  20. 20.What is 2/9 − (−5/9)? (a) 7/18 (b) −1/3 (c) −7/9 (d) 7/9
  21. 21.Which is bigger: −1/7 or 1/4? (a) −1/7 (b) 1/4
  22. 22.What is (−1/5) + (−1/6)? (a) −11/30 (b) −1/30 (c) 11/30 (d) −2/11
  23. 23.What is the reciprocal (multiplicative inverse) of 2/9? (a) −9/2 (b) 2/9 (c) −2/9 (d) 9/2
  24. 24.What is the additive inverse of 2/5? (a) 2/5 (b) 5/2 (c) −2/5 (d) −5/2
  25. 25.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −5/6 (d) −10/12
  26. 26.Which is bigger: −2/5 or 2/3? (a) −2/5 (b) 2/3
  27. 27.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −3/9 (c) −1/3 (d) 1/3
  28. 28.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) 5/2 (c) 2/5 (d) −2/5
  29. 29.Which is smaller: −3/8 or −1/4? (a) −3/8 (b) −1/4
  30. 30.Write −15/25 in standard form (lowest terms, positive denominator). (a) −15/25 (b) 3/5 (c) −3/5 (d) −5/3
  31. 31.Is 8/7 positive or negative? (a) Negative (b) Positive
  32. 32.What is the additive inverse of 1/5? (a) 5 (b) 1/5 (c) −1/5 (d) −5
  33. 33.Is 4/(−6) positive or negative? (a) Negative (b) Positive
  34. 34.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) −32/36 (b) −9/8 (c) −8/9 (d) 8/9
  35. 35.Which is smaller: −1/2 or −5/7? (a) −5/7 (b) −1/2
  36. 36.Which is smaller: −5/8 or −3/5? (a) −5/8 (b) −3/5
  37. 37.Write −6/8 in standard form (lowest terms, positive denominator). (a) −6/8 (b) −3/4 (c) −4/3 (d) 3/4
  38. 38.What is 2/5 − (−3/7)? (a) −1/35 (b) 5/12 (c) −29/35 (d) 29/35
  39. 39.Write −10/18 in standard form (lowest terms, positive denominator). (a) −5/9 (b) 5/9 (c) −10/18 (d) −9/5
  40. 40.Is 7/6 positive or negative? (a) Negative (b) Positive

Answer key

  1. −65/72
  2. −9/35
  3. Positive
  4. −1/2
  5. 7
  6. −2/9
  7. 5/12
  8. −1/9
  9. 1/5
  10. 1/8
  11. −1/6
  12. 11/35
  13. 7/45
  14. −9/8
  15. −3/8
  16. 1/7
  17. −52/45
  18. 3/2
  19. Negative
  20. 7/9
  21. 1/4
  22. −11/30
  23. 9/2
  24. −2/5
  25. −5/6
  26. 2/3
  27. −1/3
  28. 5/2
  29. −3/8
  30. −3/5
  31. Positive
  32. −1/5
  33. Negative
  34. −8/9
  35. −5/7
  36. −5/8
  37. −3/4
  38. 29/35
  39. −5/9
  40. Positive

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