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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 838 · 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 the additive inverse of 7/8? (a) 8/7 (b) 7/8 (c) −7/8 (d) −8/7
  2. 2.What is (−1/7) + 2/5? (a) −9/35 (b) 9/35 (c) −19/35 (d) 1/12
  3. 3.What is (−5/7) − (−6/7)? (a) −11/7 (b) 1/7 (c) 1/14 (d) −1/7
  4. 4.What is (−6/7) + (−1/6)? (a) −43/42 (b) 43/42 (c) −29/42 (d) −7/13
  5. 5.What is (−6/7) − 5/8? (a) −83/56 (b) −11/15 (c) 83/56 (d) −13/56
  6. 6.What is (−1/8) + 1/8? (a) 0 (b) −1/4
  7. 7.Which is bigger: −1/5 or −3/7? (a) −3/7 (b) −1/5
  8. 8.Is −9/8 positive or negative? (a) Negative (b) Positive
  9. 9.Is −6/7 positive or negative? (a) Positive (b) Negative
  10. 10.What is (−4/9) − 5/9? (a) 1 (b) −1 (c) −1/2 (d) 1/9
  11. 11.Is 8/3 positive or negative? (a) Positive (b) Negative
  12. 12.Is 1/4 positive or negative? (a) Positive (b) Negative
  13. 13.What is (−3/5) + 2/3? (a) −19/15 (b) −1/8 (c) 1/15 (d) −1/15
  14. 14.Which is bigger: −3/8 or −8/9? (a) −3/8 (b) −8/9
  15. 15.What is (−2/7) − (−1/7)? (a) −1/7 (b) 1/7 (c) −1/14 (d) −3/7
  16. 16.What is 1/8 − (−1/5)? (a) −3/40 (b) 2/13 (c) 13/40 (d) −13/40
  17. 17.Which is smaller: −4/9 or −1/2? (a) −1/2 (b) −4/9
  18. 18.What is (−3/7) + (−6/7)? (a) −9/7 (b) −9/14 (c) 3/7 (d) 9/7
  19. 19.Which is bigger: −3/5 or 5/9? (a) −3/5 (b) 5/9
  20. 20.Which is bigger: −3/5 or −8/9? (a) −8/9 (b) −3/5
  21. 21.Is 1/(−5) positive or negative? (a) Negative (b) Positive
  22. 22.Which is bigger: −4/5 or 6/7? (a) 6/7 (b) −4/5
  23. 23.What is 1/3 − (−1/7)? (a) 10/21 (b) 1/5 (c) −10/21 (d) 4/21
  24. 24.What is the additive inverse of 5/8? (a) 5/8 (b) −8/5 (c) −5/8 (d) 8/5
  25. 25.What is (−2/9) + (−2/3)? (a) 8/9 (b) −1/3 (c) 4/9 (d) −8/9
  26. 26.Write −5/20 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/1 (d) −5/20
  27. 27.Is 7/3 positive or negative? (a) Positive (b) Negative
  28. 28.Is 5/(−9) positive or negative? (a) Positive (b) Negative
  29. 29.What is (−3/7) + 5/6? (a) −17/42 (b) 2/13 (c) −53/42 (d) 17/42
  30. 30.Which is smaller: −5/8 or −7/8? (a) −7/8 (b) −5/8
  31. 31.What is 2/3 − (−1/6)? (a) −5/6 (b) 1/2 (c) 1/3 (d) 5/6
  32. 32.Is −3/(−2) positive or negative? (a) Negative (b) Positive
  33. 33.Is 2/2 positive or negative? (a) Negative (b) Positive
  34. 34.What is (−4/9) − 2/7? (a) −3/8 (b) −10/63 (c) −46/63 (d) 46/63
  35. 35.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) −3/9 (d) 1/3
  36. 36.What is 2/7 − (−3/4)? (a) 5/11 (b) −29/28 (c) 29/28 (d) −13/28
  37. 37.What is (−1/5) − 4/9? (a) 29/45 (b) −5/14 (c) −29/45 (d) 11/45
  38. 38.Which is bigger: −6/7 or −4/5? (a) −6/7 (b) −4/5
  39. 39.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −12/54 (d) −2/9
  40. 40.What is 2/9 + (−1/5)? (a) 1/14 (b) 19/45 (c) 1/45 (d) −1/45

Answer key

  1. −7/8
  2. 9/35
  3. 1/7
  4. −43/42
  5. −83/56
  6. 0
  7. −1/5
  8. Negative
  9. Negative
  10. −1
  11. Positive
  12. Positive
  13. 1/15
  14. −3/8
  15. −1/7
  16. 13/40
  17. −1/2
  18. −9/7
  19. 5/9
  20. −3/5
  21. Negative
  22. 6/7
  23. 10/21
  24. −5/8
  25. −8/9
  26. −1/4
  27. Positive
  28. Negative
  29. 17/42
  30. −7/8
  31. 5/6
  32. Positive
  33. Positive
  34. −46/63
  35. −1/3
  36. 29/28
  37. −29/45
  38. −4/5
  39. −2/9
  40. 1/45

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