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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 916 · 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 3/5? (a) 3/5 (b) −5/3 (c) −3/5 (d) 5/3
  2. 2.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −1/7 (c) 1/7 (d) −5/35
  3. 3.Which is bigger: −8/9 or −1/7? (a) −8/9 (b) −1/7
  4. 4.Write −12/16 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −12/16 (d) −3/4
  5. 5.Which is bigger: −1/2 or −5/8? (a) −5/8 (b) −1/2
  6. 6.What is the additive inverse of 4/9? (a) 9/4 (b) −4/9 (c) 4/9 (d) −9/4
  7. 7.Is 1/(−3) positive or negative? (a) Positive (b) Negative
  8. 8.Which is smaller: −1/3 or 1/5? (a) −1/3 (b) 1/5
  9. 9.What is (−2/5) + 1/2? (a) −1/10 (b) −9/10 (c) 1/10 (d) −1/7
  10. 10.Is −2/2 positive or negative? (a) Negative (b) Positive
  11. 11.Which is smaller: −6/7 or −4/5? (a) −4/5 (b) −6/7
  12. 12.What is 2/9 − (−1/3)? (a) −1/9 (b) 5/9 (c) 1/4 (d) −5/9
  13. 13.What is (−3/7) − 1/9? (a) −1/4 (b) −20/63 (c) 34/63 (d) −34/63
  14. 14.What is 1/7 − (−6/7)? (a) 1/2 (b) 1 (c) −1 (d) −5/7
  15. 15.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −5/45 (d) −9/1
  16. 16.Write −9/15 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −9/15 (c) −5/3 (d) 3/5
  17. 17.Is 4/(−7) positive or negative? (a) Positive (b) Negative
  18. 18.What is (−5/9) + (−2/7)? (a) −7/16 (b) −53/63 (c) 53/63 (d) −17/63
  19. 19.What is (−3/5) + (−5/6)? (a) 43/30 (b) −8/11 (c) −43/30 (d) 7/30
  20. 20.What is (−1/5) − (−5/7)? (a) −18/35 (b) 1/3 (c) 18/35 (d) −32/35
  21. 21.What is the additive inverse of −5/8? (a) 5/8 (b) 8/5 (c) −8/5 (d) −5/8
  22. 22.Which is bigger: −5/8 or −2/7? (a) −2/7 (b) −5/8
  23. 23.Is −4/(−4) positive or negative? (a) Positive (b) Negative
  24. 24.What is (−3/4) + (−1/3)? (a) −13/12 (b) 13/12 (c) −4/7 (d) −5/12
  25. 25.What is 1/4 + (−2/7)? (a) −1/11 (b) 1/28 (c) −1/28 (d) 15/28
  26. 26.Which is smaller: −1/4 or −1/6? (a) −1/4 (b) −1/6
  27. 27.Is 3/4 positive or negative? (a) Positive (b) Negative
  28. 28.Is 1/7 positive or negative? (a) Negative (b) Positive
  29. 29.What is (−7/9) + 2/5? (a) −17/45 (b) −53/45 (c) 17/45 (d) −5/14
  30. 30.What is 4/5 + (−1/9)? (a) −31/45 (b) 41/45 (c) 31/45 (d) 3/14
  31. 31.What is (−3/4) + 5/6? (a) 1/12 (b) 1/5 (c) −1/12 (d) −19/12
  32. 32.Is −1/(−7) positive or negative? (a) Positive (b) Negative
  33. 33.What is the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) −9/8 (c) 9/8 (d) −8/9
  34. 34.What is the additive inverse of 1/8? (a) −1/8 (b) −8 (c) 1/8 (d) 8
  35. 35.Which is bigger: −7/9 or 2/5? (a) 2/5 (b) −7/9
  36. 36.Is −5/6 positive or negative? (a) Positive (b) Negative
  37. 37.What is (−1/4) + 2/5? (a) 1/9 (b) 3/20 (c) −3/20 (d) −13/20
  38. 38.Is 9/8 positive or negative? (a) Positive (b) Negative
  39. 39.Which is smaller: −1/4 or 3/4? (a) 3/4 (b) −1/4
  40. 40.What is the reciprocal (multiplicative inverse) of 1/5? (a) −1/5 (b) −5 (c) 1/5 (d) 5

Answer key

  1. 5/3
  2. −1/7
  3. −1/7
  4. −3/4
  5. −1/2
  6. −4/9
  7. Negative
  8. −1/3
  9. 1/10
  10. Negative
  11. −6/7
  12. 5/9
  13. −34/63
  14. 1
  15. −1/9
  16. −3/5
  17. Negative
  18. −53/63
  19. −43/30
  20. 18/35
  21. 5/8
  22. −2/7
  23. Positive
  24. −13/12
  25. −1/28
  26. −1/4
  27. Positive
  28. Positive
  29. −17/45
  30. 31/45
  31. 1/12
  32. Positive
  33. 9/8
  34. −1/8
  35. 2/5
  36. Negative
  37. 3/20
  38. Positive
  39. −1/4
  40. 5

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