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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 130 · 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 (−4/9) − (−1/3)? (a) −7/9 (b) −1/9 (c) −1/4 (d) 1/9
  2. 2.Which is bigger: −5/9 or −1/9? (a) −5/9 (b) −1/9
  3. 3.Which is bigger: −4/7 or 1/2? (a) −4/7 (b) 1/2
  4. 4.Which is smaller: −4/5 or −1/9? (a) −1/9 (b) −4/5
  5. 5.What is (−3/7) + 5/7? (a) −8/7 (b) −2/7 (c) 1/7 (d) 2/7
  6. 6.Is 9/(−6) positive or negative? (a) Positive (b) Negative
  7. 7.What is the reciprocal (multiplicative inverse) of −8/9? (a) −8/9 (b) 8/9 (c) 9/8 (d) −9/8
  8. 8.What is the additive inverse of 1/3? (a) 3 (b) 1/3 (c) −3 (d) −1/3
  9. 9.What is the additive inverse of −1/2? (a) −1/2 (b) −2 (c) 1/2 (d) 2
  10. 10.What is (−4/7) + (−1/5)? (a) 27/35 (b) −27/35 (c) −5/12 (d) −13/35
  11. 11.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  12. 12.What is (−1/7) + 1/6? (a) −13/42 (b) 1/42 (c) −1/42 (d) 0
  13. 13.What is the additive inverse of 4/7? (a) −4/7 (b) 4/7 (c) −7/4 (d) 7/4
  14. 14.What is (−1/7) + (−1/3)? (a) 10/21 (b) −1/5 (c) −10/21 (d) 4/21
  15. 15.What is (−1/5) − (−1/9)? (a) 0 (b) −14/45 (c) 4/45 (d) −4/45
  16. 16.What is the reciprocal (multiplicative inverse) of −2/9? (a) −2/9 (b) −9/2 (c) 2/9 (d) 9/2
  17. 17.What is 5/7 + (−4/5)? (a) 53/35 (b) −3/35 (c) 3/35 (d) 1/12
  18. 18.What is the reciprocal (multiplicative inverse) of −1/8? (a) −8 (b) 1/8 (c) −1/8 (d) 8
  19. 19.What is the reciprocal (multiplicative inverse) of −1/4? (a) 1/4 (b) −1/4 (c) −4 (d) 4
  20. 20.What is (−2/7) + (−1/7)? (a) 3/7 (b) −3/7 (c) −3/14 (d) −1/7
  21. 21.What is the reciprocal (multiplicative inverse) of −3/4? (a) 3/4 (b) −3/4 (c) −4/3 (d) 4/3
  22. 22.Is 8/(−6) positive or negative? (a) Positive (b) Negative
  23. 23.What is the additive inverse of 4/5? (a) −5/4 (b) −4/5 (c) 4/5 (d) 5/4
  24. 24.Is 3/(−5) positive or negative? (a) Positive (b) Negative
  25. 25.What is (−5/9) − (−3/8)? (a) −13/72 (b) −67/72 (c) 13/72 (d) −2/17
  26. 26.What is (−6/7) − (−3/5)? (a) −9/35 (b) −1/4 (c) −51/35 (d) 9/35
  27. 27.What is (−2/5) + (−3/5)? (a) −1/2 (b) −1 (c) 1 (d) 1/5
  28. 28.Write −14/16 in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −7/8 (d) −14/16
  29. 29.What is 1/6 − (−1/9)? (a) 5/18 (b) −5/18 (c) 2/15 (d) 1/18
  30. 30.Which is bigger: −7/9 or 1/8? (a) −7/9 (b) 1/8
  31. 31.Write 14/(−16) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −7/8 (d) −14/16
  32. 32.Which is smaller: −7/9 or −3/7? (a) −3/7 (b) −7/9
  33. 33.Is −9/(−3) positive or negative? (a) Positive (b) Negative
  34. 34.What is (−4/7) + 3/5? (a) −1/12 (b) −41/35 (c) −1/35 (d) 1/35
  35. 35.Is −6/(−9) positive or negative? (a) Negative (b) Positive
  36. 36.Is 4/3 positive or negative? (a) Negative (b) Positive
  37. 37.What is (−5/7) + 4/9? (a) −1/16 (b) −17/63 (c) −73/63 (d) 17/63
  38. 38.What is (−1/2) + (−3/8)? (a) 7/8 (b) −7/8 (c) −2/5 (d) −1/8
  39. 39.Is −5/(−3) positive or negative? (a) Negative (b) Positive
  40. 40.What is (−4/9) + 4/5? (a) −16/45 (b) 0 (c) −56/45 (d) 16/45

Answer key

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

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