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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 398 · 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.Which is bigger: −2/9 or −1/7? (a) −2/9 (b) −1/7
  2. 2.What is the additive inverse of 1/4? (a) 4 (b) 1/4 (c) −1/4 (d) −4
  3. 3.What is the reciprocal (multiplicative inverse) of 4/7? (a) 4/7 (b) −7/4 (c) 7/4 (d) −4/7
  4. 4.What is the additive inverse of 6/7? (a) 6/7 (b) −6/7 (c) 7/6 (d) −7/6
  5. 5.What is (−1/2) + 5/8? (a) −9/8 (b) −1/8 (c) 1/8 (d) 2/5
  6. 6.Which is smaller: −1/4 or −1/2? (a) −1/2 (b) −1/4
  7. 7.What is 2/7 − (−3/8)? (a) −37/56 (b) 37/56 (c) 1/3 (d) −5/56
  8. 8.Is 8/8 positive or negative? (a) Positive (b) Negative
  9. 9.What is (−2/5) + 4/5? (a) −6/5 (b) −2/5 (c) 2/5 (d) 1/5
  10. 10.Is 7/2 positive or negative? (a) Negative (b) Positive
  11. 11.What is (−4/5) − (−1/3)? (a) −7/15 (b) 7/15 (c) −17/15 (d) −3/8
  12. 12.Is −6/(−2) positive or negative? (a) Negative (b) Positive
  13. 13.Is −6/9 positive or negative? (a) Negative (b) Positive
  14. 14.Is 2/8 positive or negative? (a) Positive (b) Negative
  15. 15.What is 1/2 + (−1/6)? (a) −1/3 (b) 0 (c) 1/3 (d) 2/3
  16. 16.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) −1/8 (c) 1/8 (d) −8
  17. 17.What is (−1/7) + 3/5? (a) −26/35 (b) 16/35 (c) −16/35 (d) 1/6
  18. 18.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −4/5 (d) −8/10
  19. 19.What is 1/5 + (−1/4)? (a) 1/20 (b) 0 (c) −1/20 (d) 9/20
  20. 20.What is 1/6 + (−1/6)? (a) 1/3 (b) 0
  21. 21.What is the reciprocal (multiplicative inverse) of 2/9? (a) 9/2 (b) 2/9 (c) −2/9 (d) −9/2
  22. 22.Is 2/(−4) positive or negative? (a) Negative (b) Positive
  23. 23.Write −42/48 in standard form (lowest terms, positive denominator). (a) −42/48 (b) −7/8 (c) −8/7 (d) 7/8
  24. 24.What is the additive inverse of 4/7? (a) 4/7 (b) 7/4 (c) −4/7 (d) −7/4
  25. 25.What is 5/7 − (−5/6)? (a) −65/42 (b) 10/13 (c) 65/42 (d) −5/42
  26. 26.Which is smaller: −3/8 or −3/5? (a) −3/8 (b) −3/5
  27. 27.What is the additive inverse of −3/5? (a) −5/3 (b) −3/5 (c) 3/5 (d) 5/3
  28. 28.What is 1/7 − (−2/9)? (a) 23/63 (b) −5/63 (c) 3/16 (d) −23/63
  29. 29.Is 2/(−5) positive or negative? (a) Negative (b) Positive
  30. 30.Which is smaller: −2/5 or −3/4? (a) −2/5 (b) −3/4
  31. 31.What is (−2/3) + 3/7? (a) 5/21 (b) −23/21 (c) −5/21 (d) 1/10
  32. 32.Write −15/21 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) 5/7 (d) −15/21
  33. 33.What is (−1/6) + (−1/7)? (a) −2/13 (b) 13/42 (c) −13/42 (d) −1/42
  34. 34.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −5/9 (b) 5/9 (c) −9/5 (d) −15/27
  35. 35.What is (−1/7) − 2/9? (a) 5/63 (b) −3/16 (c) −23/63 (d) 23/63
  36. 36.What is the reciprocal (multiplicative inverse) of 7/9? (a) 7/9 (b) −9/7 (c) 9/7 (d) −7/9
  37. 37.What is (−5/9) + 1/3? (a) −1/3 (b) −8/9 (c) 2/9 (d) −2/9
  38. 38.Which is bigger: −4/9 or 2/5? (a) −4/9 (b) 2/5
  39. 39.Which is smaller: −1/5 or −5/9? (a) −1/5 (b) −5/9
  40. 40.What is (−3/5) + (−1/3)? (a) −14/15 (b) 14/15 (c) −4/15 (d) −1/2

Answer key

  1. −1/7
  2. −1/4
  3. 7/4
  4. −6/7
  5. 1/8
  6. −1/2
  7. 37/56
  8. Positive
  9. 2/5
  10. Positive
  11. −7/15
  12. Positive
  13. Negative
  14. Positive
  15. 1/3
  16. −8
  17. 16/35
  18. −4/5
  19. −1/20
  20. 0
  21. 9/2
  22. Negative
  23. −7/8
  24. −4/7
  25. 65/42
  26. −3/5
  27. 3/5
  28. 23/63
  29. Negative
  30. −3/4
  31. −5/21
  32. −5/7
  33. −13/42
  34. −5/9
  35. −23/63
  36. 9/7
  37. −2/9
  38. 2/5
  39. −5/9
  40. −14/15

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