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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 100 · 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 −1/7? (a) 1/7 (b) −1/7 (c) 7 (d) −7
  2. 2.Which is smaller: −6/7 or −3/5? (a) −3/5 (b) −6/7
  3. 3.What is (−1/9) + 1/6? (a) 0 (b) −5/18 (c) 1/18 (d) −1/18
  4. 4.Which is smaller: −5/7 or 2/7? (a) 2/7 (b) −5/7
  5. 5.Is −7/(−8) positive or negative? (a) Negative (b) Positive
  6. 6.What is (−5/8) + (−1/7)? (a) −2/5 (b) −43/56 (c) −27/56 (d) 43/56
  7. 7.What is the reciprocal (multiplicative inverse) of −4/7? (a) −7/4 (b) −4/7 (c) 4/7 (d) 7/4
  8. 8.Which is smaller: −4/9 or 1/3? (a) 1/3 (b) −4/9
  9. 9.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) 1/4 (c) −1/4 (d) 4
  10. 10.What is (−7/9) + (−5/8)? (a) 101/72 (b) −11/72 (c) −12/17 (d) −101/72
  11. 11.What is the additive inverse of −7/9? (a) −9/7 (b) 7/9 (c) 9/7 (d) −7/9
  12. 12.Is −5/8 positive or negative? (a) Positive (b) Negative
  13. 13.What is the additive inverse of 1/5? (a) 1/5 (b) 5 (c) −5 (d) −1/5
  14. 14.Is −7/(−2) positive or negative? (a) Negative (b) Positive
  15. 15.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −4/1 (d) −5/20
  16. 16.Which is bigger: −1/2 or 2/7? (a) −1/2 (b) 2/7
  17. 17.Is −6/8 positive or negative? (a) Negative (b) Positive
  18. 18.What is (−2/9) + 1/4? (a) 1/36 (b) −1/36 (c) −17/36 (d) −1/13
  19. 19.What is (−3/7) − 2/5? (a) −5/12 (b) −1/35 (c) 29/35 (d) −29/35
  20. 20.Is 9/2 positive or negative? (a) Negative (b) Positive
  21. 21.Is 2/8 positive or negative? (a) Positive (b) Negative
  22. 22.What is the additive inverse of −4/9? (a) 9/4 (b) −4/9 (c) 4/9 (d) −9/4
  23. 23.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) −1/3 (c) −3 (d) 1/3
  24. 24.What is the reciprocal (multiplicative inverse) of −5/8? (a) 8/5 (b) −8/5 (c) 5/8 (d) −5/8
  25. 25.Is −5/(−8) positive or negative? (a) Negative (b) Positive
  26. 26.What is (−7/9) + 1/7? (a) −3/8 (b) −40/63 (c) −58/63 (d) 40/63
  27. 27.Which is bigger: −1/5 or −2/7? (a) −1/5 (b) −2/7
  28. 28.What is (−3/4) + 4/9? (a) 1/13 (b) −43/36 (c) −11/36 (d) 11/36
  29. 29.What is (−1/8) + 2/7? (a) −9/56 (b) −23/56 (c) 9/56 (d) 1/15
  30. 30.Which is bigger: −2/3 or −1/5? (a) −2/3 (b) −1/5
  31. 31.What is (−1/9) − 3/7? (a) 34/63 (b) 20/63 (c) −34/63 (d) −1/4
  32. 32.What is (−1/5) − 2/9? (a) 1/45 (b) −3/14 (c) 19/45 (d) −19/45
  33. 33.What is the additive inverse of 1/4? (a) −4 (b) −1/4 (c) 1/4 (d) 4
  34. 34.What is 7/9 − (−2/7)? (a) 9/16 (b) 67/63 (c) −67/63 (d) 31/63
  35. 35.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −12/30 (c) −2/5 (d) −5/2
  36. 36.Is 9/(−6) positive or negative? (a) Positive (b) Negative
  37. 37.Write −8/18 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −8/18 (c) 4/9 (d) −4/9
  38. 38.Write 42/(−48) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) −42/48 (d) 7/8
  39. 39.Is −7/(−6) positive or negative? (a) Positive (b) Negative
  40. 40.Write −6/24 in standard form (lowest terms, positive denominator). (a) −6/24 (b) −4/1 (c) −1/4 (d) 1/4

Answer key

  1. 1/7
  2. −6/7
  3. 1/18
  4. −5/7
  5. Positive
  6. −43/56
  7. −7/4
  8. −4/9
  9. 4
  10. −101/72
  11. 7/9
  12. Negative
  13. −1/5
  14. Positive
  15. −1/4
  16. 2/7
  17. Negative
  18. 1/36
  19. −29/35
  20. Positive
  21. Positive
  22. 4/9
  23. −3
  24. −8/5
  25. Positive
  26. −40/63
  27. −1/5
  28. −11/36
  29. 9/56
  30. −1/5
  31. −34/63
  32. −19/45
  33. −1/4
  34. 67/63
  35. −2/5
  36. Negative
  37. −4/9
  38. −7/8
  39. Positive
  40. −1/4

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