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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 158 · 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.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −28/36 (c) 7/9 (d) −7/9
  2. 2.What is (−2/9) + (−1/3)? (a) 5/9 (b) 1/9 (c) −1/4 (d) −5/9
  3. 3.What is the reciprocal (multiplicative inverse) of 5/6? (a) 6/5 (b) 5/6 (c) −6/5 (d) −5/6
  4. 4.What is the reciprocal (multiplicative inverse) of −7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8
  5. 5.Write −21/27 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −21/27 (c) −9/7 (d) −7/9
  6. 6.What is (−6/7) + 7/9? (a) −5/63 (b) 5/63 (c) 1/16 (d) −103/63
  7. 7.Is 2/2 positive or negative? (a) Negative (b) Positive
  8. 8.What is (−4/9) − 5/9? (a) −1/2 (b) 1/9 (c) 1 (d) −1
  9. 9.Is −9/(−4) positive or negative? (a) Negative (b) Positive
  10. 10.Write −10/14 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −5/7 (d) −10/14
  11. 11.What is (−3/5) − (−1/8)? (a) −29/40 (b) 19/40 (c) −19/40 (d) −2/13
  12. 12.Is 3/(−4) positive or negative? (a) Positive (b) Negative
  13. 13.What is the additive inverse of −5/6? (a) −6/5 (b) −5/6 (c) 6/5 (d) 5/6
  14. 14.What is 5/7 + (−1/2)? (a) 3/14 (b) 17/14 (c) 4/9 (d) −3/14
  15. 15.What is (−3/8) − 1/4? (a) −1/8 (b) 5/8 (c) −1/3 (d) −5/8
  16. 16.What is (−4/9) − 1/8? (a) −23/72 (b) −5/17 (c) 41/72 (d) −41/72
  17. 17.What is the additive inverse of 1/3? (a) −1/3 (b) −3 (c) 1/3 (d) 3
  18. 18.Is 9/(−4) positive or negative? (a) Negative (b) Positive
  19. 19.Which is bigger: −1/3 or 4/5? (a) −1/3 (b) 4/5
  20. 20.Is 6/(−9) positive or negative? (a) Negative (b) Positive
  21. 21.What is (−8/9) − 1/5? (a) −31/45 (b) −49/45 (c) 49/45 (d) −9/14
  22. 22.Is −5/(−5) positive or negative? (a) Negative (b) Positive
  23. 23.What is (−4/9) + 2/7? (a) −46/63 (b) 10/63 (c) −1/8 (d) −10/63
  24. 24.What is (−1/7) − 5/7? (a) 4/7 (b) 6/7 (c) −3/7 (d) −6/7
  25. 25.What is 1/4 + (−8/9)? (a) −7/13 (b) −23/36 (c) 23/36 (d) 41/36
  26. 26.What is 1/5 − (−7/8)? (a) −43/40 (b) 8/13 (c) 43/40 (d) −27/40
  27. 27.What is 7/9 + (−2/3)? (a) 5/12 (b) −1/9 (c) 1/9 (d) 13/9
  28. 28.What is 4/9 + (−1/5)? (a) −11/45 (b) 11/45 (c) 29/45 (d) 3/14
  29. 29.What is (−6/7) + 8/9? (a) 1/8 (b) 2/63 (c) −110/63 (d) −2/63
  30. 30.Is −2/3 positive or negative? (a) Negative (b) Positive
  31. 31.Which is bigger: −7/9 or −1/9? (a) −1/9 (b) −7/9
  32. 32.What is (−7/8) + 2/7? (a) 33/56 (b) −65/56 (c) −1/3 (d) −33/56
  33. 33.What is 1/2 − (−2/9)? (a) 3/11 (b) 5/18 (c) 13/18 (d) −13/18
  34. 34.Is 5/2 positive or negative? (a) Positive (b) Negative
  35. 35.What is (−1/3) + 3/5? (a) −14/15 (b) 4/15 (c) 1/4 (d) −4/15
  36. 36.What is 4/5 − (−3/4)? (a) −31/20 (b) 1/20 (c) 31/20 (d) 7/9
  37. 37.Is 5/(−8) positive or negative? (a) Positive (b) Negative
  38. 38.Which is bigger: −1/3 or −2/9? (a) −2/9 (b) −1/3
  39. 39.Which is smaller: −5/8 or −5/7? (a) −5/7 (b) −5/8
  40. 40.What is (−1/6) + (−1/6)? (a) 1/3 (b) 0 (c) −1/3 (d) −1/6

Answer key

  1. −7/9
  2. −5/9
  3. 6/5
  4. −8/7
  5. −7/9
  6. −5/63
  7. Positive
  8. −1
  9. Positive
  10. −5/7
  11. −19/40
  12. Negative
  13. 5/6
  14. 3/14
  15. −5/8
  16. −41/72
  17. −1/3
  18. Negative
  19. 4/5
  20. Negative
  21. −49/45
  22. Positive
  23. −10/63
  24. −6/7
  25. −23/36
  26. 43/40
  27. 1/9
  28. 11/45
  29. 2/63
  30. Negative
  31. −1/9
  32. −33/56
  33. 13/18
  34. Positive
  35. 4/15
  36. 31/20
  37. Negative
  38. −2/9
  39. −5/7
  40. −1/3

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