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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 874 · 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.Is 3/(−9) positive or negative? (a) Positive (b) Negative
  2. 2.Is −6/(−4) positive or negative? (a) Positive (b) Negative
  3. 3.What is 4/9 − (−5/7)? (a) −17/63 (b) −73/63 (c) 73/63 (d) 9/16
  4. 4.Write −10/12 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −10/12 (c) −6/5 (d) −5/6
  5. 5.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/25 (c) −1/5 (d) −5/1
  6. 6.What is 5/6 + (−1/9)? (a) −13/18 (b) 4/15 (c) 13/18 (d) 17/18
  7. 7.What is 1/8 − (−3/4)? (a) 7/8 (b) −5/8 (c) −7/8 (d) 1/3
  8. 8.Is −2/7 positive or negative? (a) Negative (b) Positive
  9. 9.What is (−2/9) + 4/5? (a) −26/45 (b) 26/45 (c) 1/7 (d) −46/45
  10. 10.What is (−3/4) + 1/6? (a) 7/12 (b) −11/12 (c) −1/5 (d) −7/12
  11. 11.What is (−1/3) + 1/5? (a) −8/15 (b) 2/15 (c) 0 (d) −2/15
  12. 12.Is −1/(−4) positive or negative? (a) Negative (b) Positive
  13. 13.Which is smaller: −4/9 or −2/7? (a) −4/9 (b) −2/7
  14. 14.Which is smaller: −8/9 or 7/8? (a) 7/8 (b) −8/9
  15. 15.Which is smaller: −4/9 or 7/9? (a) −4/9 (b) 7/9
  16. 16.What is 3/4 + (−4/9)? (a) −1/13 (b) 11/36 (c) −11/36 (d) 43/36
  17. 17.Is −9/(−2) positive or negative? (a) Negative (b) Positive
  18. 18.What is 5/8 + (−1/5)? (a) 4/13 (b) 17/40 (c) 33/40 (d) −17/40
  19. 19.What is (−2/7) − (−1/6)? (a) −19/42 (b) −5/42 (c) 5/42 (d) −1/13
  20. 20.Is 6/(−2) positive or negative? (a) Positive (b) Negative
  21. 21.What is (−5/9) + (−7/9)? (a) −2/3 (b) 4/3 (c) 2/9 (d) −4/3
  22. 22.What is the additive inverse of −4/7? (a) 4/7 (b) −7/4 (c) −4/7 (d) 7/4
  23. 23.What is (−2/9) + (−7/8)? (a) 47/72 (b) −79/72 (c) 79/72 (d) −9/17
  24. 24.Is −3/6 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−8/9) − (−8/9)? (a) 0 (b) −16/9
  26. 26.Which is smaller: −3/4 or −3/8? (a) −3/4 (b) −3/8
  27. 27.Which is smaller: −2/5 or 1/2? (a) −2/5 (b) 1/2
  28. 28.Write −35/40 in standard form (lowest terms, positive denominator). (a) −35/40 (b) −7/8 (c) −8/7 (d) 7/8
  29. 29.What is (−1/2) + (−4/5)? (a) 13/10 (b) 3/10 (c) −13/10 (d) −5/7
  30. 30.Which is bigger: −1/8 or 2/9? (a) 2/9 (b) −1/8
  31. 31.Which is bigger: −2/7 or 1/2? (a) −2/7 (b) 1/2
  32. 32.Which is bigger: −5/8 or −1/7? (a) −1/7 (b) −5/8
  33. 33.Write −9/15 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −9/15 (c) 3/5 (d) −3/5
  34. 34.Is 7/(−6) positive or negative? (a) Negative (b) Positive
  35. 35.What is 8/9 − (−2/3)? (a) −14/9 (b) 2/9 (c) 14/9 (d) 5/6
  36. 36.What is the additive inverse of −6/7? (a) 6/7 (b) −6/7 (c) 7/6 (d) −7/6
  37. 37.What is (−3/7) − (−7/9)? (a) 1/4 (b) 22/63 (c) −76/63 (d) −22/63
  38. 38.What is (−1/5) + 4/9? (a) −29/45 (b) 11/45 (c) −11/45 (d) 3/14
  39. 39.What is 7/9 − (−5/6)? (a) −29/18 (b) 29/18 (c) 4/5 (d) −1/18
  40. 40.What is 7/8 + (−7/8)? (a) 7/4 (b) 0

Answer key

  1. Negative
  2. Positive
  3. 73/63
  4. −5/6
  5. −1/5
  6. 13/18
  7. 7/8
  8. Negative
  9. 26/45
  10. −7/12
  11. −2/15
  12. Positive
  13. −4/9
  14. −8/9
  15. −4/9
  16. 11/36
  17. Positive
  18. 17/40
  19. −5/42
  20. Negative
  21. −4/3
  22. 4/7
  23. −79/72
  24. Negative
  25. 0
  26. −3/4
  27. −2/5
  28. −7/8
  29. −13/10
  30. 2/9
  31. 1/2
  32. −1/7
  33. −3/5
  34. Negative
  35. 14/9
  36. 6/7
  37. 22/63
  38. 11/45
  39. 29/18
  40. 0

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