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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 643 · 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 (−3/7) + 1/4? (a) −5/28 (b) −2/11 (c) −19/28 (d) 5/28
  2. 2.What is (−1/3) + (−7/8)? (a) 29/24 (b) 13/24 (c) −29/24 (d) −8/11
  3. 3.What is (−2/7) + (−4/7)? (a) 6/7 (b) 2/7 (c) −3/7 (d) −6/7
  4. 4.Is 7/8 positive or negative? (a) Negative (b) Positive
  5. 5.Is −9/3 positive or negative? (a) Negative (b) Positive
  6. 6.Which is smaller: −1/6 or −6/7? (a) −1/6 (b) −6/7
  7. 7.What is 3/4 + (−5/7)? (a) −2/11 (b) −1/28 (c) 41/28 (d) 1/28
  8. 8.Write −6/18 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −3/1 (d) −6/18
  9. 9.Is 1/(−7) positive or negative? (a) Positive (b) Negative
  10. 10.What is (−1/3) − 7/8? (a) 29/24 (b) 13/24 (c) −8/11 (d) −29/24
  11. 11.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  12. 12.Is −9/9 positive or negative? (a) Negative (b) Positive
  13. 13.Which is bigger: −3/5 or −2/5? (a) −3/5 (b) −2/5
  14. 14.What is (−1/2) − (−3/8)? (a) 1/5 (b) 1/8 (c) −1/8 (d) −7/8
  15. 15.What is (−1/3) + (−5/6)? (a) 1/2 (b) −2/3 (c) 7/6 (d) −7/6
  16. 16.What is the reciprocal (multiplicative inverse) of 5/8? (a) −8/5 (b) 5/8 (c) 8/5 (d) −5/8
  17. 17.What is (−7/9) + (−1/4)? (a) −19/36 (b) 37/36 (c) −37/36 (d) −8/13
  18. 18.Which is smaller: −2/5 or −7/9? (a) −2/5 (b) −7/9
  19. 19.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) −42/54 (d) 7/9
  20. 20.Which is smaller: −1/7 or −4/5? (a) −1/7 (b) −4/5
  21. 21.Which is bigger: −1/6 or −2/9? (a) −1/6 (b) −2/9
  22. 22.What is 2/7 − (−3/8)? (a) −37/56 (b) 37/56 (c) 1/3 (d) −5/56
  23. 23.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) −7/5 (b) 5/7 (c) −5/7 (d) −10/14
  24. 24.What is the additive inverse of −1/4? (a) 1/4 (b) −4 (c) 4 (d) −1/4
  25. 25.What is (−1/9) − (−4/7)? (a) −43/63 (b) 3/16 (c) −29/63 (d) 29/63
  26. 26.What is the reciprocal (multiplicative inverse) of 1/9? (a) 9 (b) −9 (c) 1/9 (d) −1/9
  27. 27.What is the reciprocal (multiplicative inverse) of −2/9? (a) −9/2 (b) 2/9 (c) 9/2 (d) −2/9
  28. 28.Which is smaller: −2/3 or −5/8? (a) −5/8 (b) −2/3
  29. 29.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3
  30. 30.Write −24/27 in standard form (lowest terms, positive denominator). (a) −24/27 (b) −9/8 (c) 8/9 (d) −8/9
  31. 31.Write 16/(−20) in standard form (lowest terms, positive denominator). (a) −4/5 (b) −5/4 (c) −16/20 (d) 4/5
  32. 32.What is (−5/8) − (−6/7)? (a) −13/56 (b) 13/56 (c) −83/56 (d) 1/15
  33. 33.Is −3/(−7) positive or negative? (a) Positive (b) Negative
  34. 34.Is −1/9 positive or negative? (a) Positive (b) Negative
  35. 35.What is (−3/5) − (−5/9)? (a) −2/45 (b) −52/45 (c) 2/45 (d) 1/7
  36. 36.Which is smaller: −4/9 or 4/5? (a) 4/5 (b) −4/9
  37. 37.What is 2/5 − (−1/8)? (a) 21/40 (b) 3/13 (c) −21/40 (d) 11/40
  38. 38.What is (−7/8) + 5/9? (a) −103/72 (b) −2/17 (c) 23/72 (d) −23/72
  39. 39.Which is bigger: −5/7 or −2/9? (a) −2/9 (b) −5/7
  40. 40.What is the additive inverse of −2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7

Answer key

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

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