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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 581 · 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 smaller: −4/7 or −1/2? (a) −4/7 (b) −1/2
  2. 2.Is 5/2 positive or negative? (a) Negative (b) Positive
  3. 3.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) 7/4 (c) −7/4 (d) 4/7
  4. 4.Which is smaller: −1/8 or 5/7? (a) 5/7 (b) −1/8
  5. 5.What is (−7/9) + (−5/7)? (a) −94/63 (b) −4/63 (c) 94/63 (d) −3/4
  6. 6.What is (−2/9) − (−4/5)? (a) 26/45 (b) 1/7 (c) −46/45 (d) −26/45
  7. 7.What is the additive inverse of 1/4? (a) −1/4 (b) −4 (c) 4 (d) 1/4
  8. 8.Which is smaller: −1/3 or 2/9? (a) −1/3 (b) 2/9
  9. 9.What is (−4/9) − (−1/8)? (a) −23/72 (b) 23/72 (c) −3/17 (d) −41/72
  10. 10.Which is smaller: −2/5 or −4/5? (a) −2/5 (b) −4/5
  11. 11.What is (−3/5) + (−1/9)? (a) 32/45 (b) −22/45 (c) −2/7 (d) −32/45
  12. 12.What is (−1/4) − 3/4? (a) −1/2 (b) 1 (c) 1/2 (d) −1
  13. 13.What is (−2/3) − (−3/4)? (a) 1/12 (b) 1/7 (c) −1/12 (d) −17/12
  14. 14.What is the additive inverse of −2/7? (a) −2/7 (b) 7/2 (c) −7/2 (d) 2/7
  15. 15.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) −4/9 (c) 9/4 (d) −9/4
  16. 16.Which is bigger: −5/6 or 4/5? (a) −5/6 (b) 4/5
  17. 17.What is 3/5 + (−1/6)? (a) −13/30 (b) 13/30 (c) 23/30 (d) 2/11
  18. 18.Is −5/3 positive or negative? (a) Negative (b) Positive
  19. 19.What is the additive inverse of 4/7? (a) 7/4 (b) −7/4 (c) 4/7 (d) −4/7
  20. 20.What is the additive inverse of 8/9? (a) 8/9 (b) 9/8 (c) −9/8 (d) −8/9
  21. 21.Is 1/9 positive or negative? (a) Negative (b) Positive
  22. 22.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −6/21 (b) 2/7 (c) −2/7 (d) −7/2
  23. 23.Which is bigger: −2/7 or 3/5? (a) 3/5 (b) −2/7
  24. 24.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −3/27 (b) −1/9 (c) 1/9 (d) −9/1
  25. 25.What is (−1/8) + 1/7? (a) 0 (b) 1/56 (c) −15/56 (d) −1/56
  26. 26.Which is bigger: −4/7 or −5/7? (a) −5/7 (b) −4/7
  27. 27.Write −28/32 in standard form (lowest terms, positive denominator). (a) −28/32 (b) −8/7 (c) 7/8 (d) −7/8
  28. 28.What is 3/5 − (−7/8)? (a) 10/13 (b) −59/40 (c) 59/40 (d) −11/40
  29. 29.Is −4/(−2) positive or negative? (a) Positive (b) Negative
  30. 30.Which is smaller: −1/7 or 6/7? (a) −1/7 (b) 6/7
  31. 31.What is 4/5 + (−4/5)? (a) 0 (b) 8/5
  32. 32.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −30/54 (c) −5/9 (d) −9/5
  33. 33.Is 3/(−7) positive or negative? (a) Positive (b) Negative
  34. 34.What is 7/9 + (−4/7)? (a) 85/63 (b) 13/63 (c) −13/63 (d) 3/16
  35. 35.What is the additive inverse of 7/8? (a) −8/7 (b) −7/8 (c) 7/8 (d) 8/7
  36. 36.What is (−1/7) + 8/9? (a) 7/16 (b) −65/63 (c) −47/63 (d) 47/63
  37. 37.Is −8/2 positive or negative? (a) Positive (b) Negative
  38. 38.What is the reciprocal (multiplicative inverse) of 1/9? (a) −9 (b) −1/9 (c) 9 (d) 1/9
  39. 39.What is (−4/5) − (−2/7)? (a) −1/6 (b) −18/35 (c) −38/35 (d) 18/35
  40. 40.What is (−5/7) − 5/6? (a) 65/42 (b) 5/42 (c) −65/42 (d) −10/13

Answer key

  1. −4/7
  2. Positive
  3. −7/4
  4. −1/8
  5. −94/63
  6. 26/45
  7. −1/4
  8. −1/3
  9. −23/72
  10. −4/5
  11. −32/45
  12. −1
  13. 1/12
  14. 2/7
  15. −9/4
  16. 4/5
  17. 13/30
  18. Negative
  19. −4/7
  20. −8/9
  21. Positive
  22. −2/7
  23. 3/5
  24. −1/9
  25. 1/56
  26. −4/7
  27. −7/8
  28. 59/40
  29. Positive
  30. −1/7
  31. 0
  32. −5/9
  33. Negative
  34. 13/63
  35. −7/8
  36. 47/63
  37. Negative
  38. 9
  39. −18/35
  40. −65/42

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