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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 161 · 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 reciprocal (multiplicative inverse) of −3/8? (a) 3/8 (b) 8/3 (c) −3/8 (d) −8/3
  2. 2.Which is smaller: −2/3 or 1/7? (a) 1/7 (b) −2/3
  3. 3.Is 7/(−6) positive or negative? (a) Positive (b) Negative
  4. 4.What is 4/5 − (−1/4)? (a) 11/20 (b) −21/20 (c) 5/9 (d) 21/20
  5. 5.Is 2/9 positive or negative? (a) Negative (b) Positive
  6. 6.What is 1/2 − (−1/8)? (a) −5/8 (b) 3/8 (c) 1/5 (d) 5/8
  7. 7.What is 3/8 − (−7/9)? (a) −83/72 (b) 10/17 (c) 83/72 (d) −29/72
  8. 8.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) −3 (c) 1/3 (d) −1/3
  9. 9.What is 1/2 + (−1/5)? (a) 3/10 (b) 7/10 (c) 0 (d) −3/10
  10. 10.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) 5/6 (c) 6/5 (d) −6/5
  11. 11.Is 5/6 positive or negative? (a) Positive (b) Negative
  12. 12.Is 3/3 positive or negative? (a) Positive (b) Negative
  13. 13.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) 3/5 (c) 5/3 (d) −3/5
  14. 14.What is (−1/4) − 1/6? (a) 5/12 (b) −5/12 (c) −1/5 (d) −1/12
  15. 15.What is (−4/5) + 1/3? (a) −7/15 (b) 7/15 (c) −17/15 (d) −3/8
  16. 16.What is (−5/8) + (−1/7)? (a) −2/5 (b) 43/56 (c) −27/56 (d) −43/56
  17. 17.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −2/12 (c) 1/6 (d) −1/6
  18. 18.Which is bigger: −2/7 or −3/7? (a) −3/7 (b) −2/7
  19. 19.What is the additive inverse of 6/7? (a) −6/7 (b) −7/6 (c) 7/6 (d) 6/7
  20. 20.What is 6/7 + (−6/7)? (a) 12/7 (b) 0
  21. 21.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) −14/18 (d) 7/9
  22. 22.Is −4/(−5) positive or negative? (a) Negative (b) Positive
  23. 23.What is 1/5 + (−3/5)? (a) −2/5 (b) 4/5 (c) −1/5 (d) 2/5
  24. 24.What is (−4/7) − (−4/5)? (a) 0 (b) 8/35 (c) −48/35 (d) −8/35
  25. 25.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/25 (b) −1/5 (c) −5/1 (d) 1/5
  26. 26.What is the additive inverse of 3/4? (a) 3/4 (b) 4/3 (c) −4/3 (d) −3/4
  27. 27.What is (−5/9) + (−3/7)? (a) −1/2 (b) 62/63 (c) −8/63 (d) −62/63
  28. 28.Is −4/4 positive or negative? (a) Negative (b) Positive
  29. 29.Which is bigger: −7/8 or −2/5? (a) −7/8 (b) −2/5
  30. 30.Write −36/42 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −7/6 (c) −36/42 (d) 6/7
  31. 31.Which is bigger: −2/9 or −4/5? (a) −4/5 (b) −2/9
  32. 32.Is 2/3 positive or negative? (a) Negative (b) Positive
  33. 33.Write 42/(−48) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) 7/8 (d) −42/48
  34. 34.Which is bigger: −1/9 or 3/5? (a) 3/5 (b) −1/9
  35. 35.Which is smaller: −1/4 or 4/7? (a) 4/7 (b) −1/4
  36. 36.What is the reciprocal (multiplicative inverse) of 7/9? (a) 9/7 (b) 7/9 (c) −9/7 (d) −7/9
  37. 37.What is (−1/5) − (−7/9)? (a) 26/45 (b) −44/45 (c) −26/45 (d) 3/7
  38. 38.What is the additive inverse of −1/9? (a) −1/9 (b) 9 (c) −9 (d) 1/9
  39. 39.Which is smaller: −6/7 or 3/4? (a) 3/4 (b) −6/7
  40. 40.What is the reciprocal (multiplicative inverse) of −5/9? (a) −5/9 (b) −9/5 (c) 5/9 (d) 9/5

Answer key

  1. −8/3
  2. −2/3
  3. Negative
  4. 21/20
  5. Positive
  6. 5/8
  7. 83/72
  8. −3
  9. 3/10
  10. 6/5
  11. Positive
  12. Positive
  13. 5/3
  14. −5/12
  15. −7/15
  16. −43/56
  17. −1/6
  18. −2/7
  19. −6/7
  20. 0
  21. −7/9
  22. Positive
  23. −2/5
  24. 8/35
  25. −1/5
  26. −3/4
  27. −62/63
  28. Negative
  29. −2/5
  30. −6/7
  31. −2/9
  32. Positive
  33. −7/8
  34. 3/5
  35. −1/4
  36. 9/7
  37. 26/45
  38. 1/9
  39. −6/7
  40. −9/5

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