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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 409 · 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 (−5/6) + 1/8? (a) −23/24 (b) 17/24 (c) −17/24 (d) −2/7
  2. 2.Which is bigger: −2/5 or 2/9? (a) −2/5 (b) 2/9
  3. 3.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) −2 (c) 2 (d) 1/2
  4. 4.Is −1/3 positive or negative? (a) Negative (b) Positive
  5. 5.Which is bigger: −1/8 or −1/6? (a) −1/8 (b) −1/6
  6. 6.What is (−2/9) + (−7/8)? (a) −79/72 (b) 47/72 (c) 79/72 (d) −9/17
  7. 7.Which is bigger: −3/7 or −7/9? (a) −3/7 (b) −7/9
  8. 8.What is (−1/2) + 4/9? (a) −1/18 (b) 1/18 (c) 3/11 (d) −17/18
  9. 9.Is −7/3 positive or negative? (a) Positive (b) Negative
  10. 10.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  11. 11.What is (−5/9) + 1/6? (a) 7/18 (b) −7/18 (c) −13/18 (d) −4/15
  12. 12.Write −10/18 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) 5/9 (d) −10/18
  13. 13.What is the additive inverse of 1/4? (a) −4 (b) −1/4 (c) 4 (d) 1/4
  14. 14.Write −3/15 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −3/15 (c) 1/5 (d) −5/1
  15. 15.What is 2/3 − (−1/2)? (a) 1/6 (b) −7/6 (c) 3/5 (d) 7/6
  16. 16.What is the reciprocal (multiplicative inverse) of 1/5? (a) 1/5 (b) 5 (c) −1/5 (d) −5
  17. 17.Is −7/6 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−1/5) + 2/9? (a) −1/45 (b) 1/14 (c) 1/45 (d) −19/45
  19. 19.What is (−5/9) − (−3/5)? (a) 2/45 (b) −2/45 (c) −1/7 (d) −52/45
  20. 20.What is (−2/9) − 3/8? (a) 43/72 (b) −5/17 (c) 11/72 (d) −43/72
  21. 21.What is (−4/9) + (−4/9)? (a) 0 (b) −8/9 (c) −4/9 (d) 8/9
  22. 22.What is 8/9 + (−1/7)? (a) 7/16 (b) −47/63 (c) 65/63 (d) 47/63
  23. 23.What is (−3/4) − (−4/5)? (a) 1/9 (b) −1/20 (c) −31/20 (d) 1/20
  24. 24.Is −8/5 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−3/4) − (−1/8)? (a) −7/8 (b) 5/8 (c) −1/6 (d) −5/8
  26. 26.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) 5/2 (c) 2/5 (d) −5/2
  27. 27.What is 1/2 − (−5/6)? (a) −1/3 (b) 3/4 (c) 4/3 (d) −4/3
  28. 28.Is −1/6 positive or negative? (a) Negative (b) Positive
  29. 29.Which is smaller: −7/9 or −6/7? (a) −6/7 (b) −7/9
  30. 30.Which is bigger: −1/4 or 2/3? (a) 2/3 (b) −1/4
  31. 31.Is 2/(−4) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−1/4) + 8/9? (a) −41/36 (b) −23/36 (c) 23/36 (d) 7/13
  33. 33.What is (−1/2) + (−1/6)? (a) −1/4 (b) 2/3 (c) −1/3 (d) −2/3
  34. 34.Which is smaller: −4/9 or 1/2? (a) 1/2 (b) −4/9
  35. 35.Which is bigger: −5/6 or −1/9? (a) −5/6 (b) −1/9
  36. 36.Which is bigger: −1/4 or 1/8? (a) 1/8 (b) −1/4
  37. 37.What is the additive inverse of −3/7? (a) 7/3 (b) −3/7 (c) 3/7 (d) −7/3
  38. 38.Which is smaller: −1/4 or 1/2? (a) −1/4 (b) 1/2
  39. 39.What is (−6/7) − (−3/7)? (a) −9/7 (b) −3/7 (c) 3/7 (d) −3/14
  40. 40.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −2/5 (d) −10/25

Answer key

  1. −17/24
  2. 2/9
  3. −2
  4. Negative
  5. −1/8
  6. −79/72
  7. −3/7
  8. −1/18
  9. Negative
  10. Negative
  11. −7/18
  12. −5/9
  13. −1/4
  14. −1/5
  15. 7/6
  16. 5
  17. Negative
  18. 1/45
  19. 2/45
  20. −43/72
  21. −8/9
  22. 47/63
  23. 1/20
  24. Negative
  25. −5/8
  26. 5/2
  27. 4/3
  28. Negative
  29. −6/7
  30. 2/3
  31. Negative
  32. 23/36
  33. −2/3
  34. −4/9
  35. −1/9
  36. 1/8
  37. 3/7
  38. −1/4
  39. −3/7
  40. −2/5

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