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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 199 · 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.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −10/12 (d) −6/5
  2. 2.What is the additive inverse of 3/4? (a) −4/3 (b) 4/3 (c) −3/4 (d) 3/4
  3. 3.What is 3/5 + (−4/9)? (a) 7/45 (b) −1/14 (c) 47/45 (d) −7/45
  4. 4.What is 7/9 + (−1/7)? (a) 58/63 (b) 40/63 (c) 3/8 (d) −40/63
  5. 5.What is the reciprocal (multiplicative inverse) of −7/8? (a) 8/7 (b) 7/8 (c) −7/8 (d) −8/7
  6. 6.Which is smaller: −2/3 or −3/7? (a) −3/7 (b) −2/3
  7. 7.Is 5/4 positive or negative? (a) Negative (b) Positive
  8. 8.Write −4/32 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −4/32 (c) −1/8 (d) −8/1
  9. 9.Is 3/(−5) positive or negative? (a) Positive (b) Negative
  10. 10.Which is smaller: −2/3 or 5/6? (a) 5/6 (b) −2/3
  11. 11.What is 1/8 − (−2/5)? (a) −21/40 (b) 21/40 (c) −11/40 (d) 3/13
  12. 12.What is 1/6 − (−2/7)? (a) 19/42 (b) −19/42 (c) 3/13 (d) −5/42
  13. 13.Is −1/(−7) positive or negative? (a) Positive (b) Negative
  14. 14.Is 1/9 positive or negative? (a) Positive (b) Negative
  15. 15.Is 7/2 positive or negative? (a) Positive (b) Negative
  16. 16.Is 2/(−2) positive or negative? (a) Positive (b) Negative
  17. 17.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −12/16 (c) −3/4 (d) −4/3
  18. 18.Is 4/(−2) positive or negative? (a) Negative (b) Positive
  19. 19.Is 9/(−4) positive or negative? (a) Negative (b) Positive
  20. 20.Which is bigger: −1/4 or −1/3? (a) −1/3 (b) −1/4
  21. 21.Which is bigger: −5/7 or 5/6? (a) −5/7 (b) 5/6
  22. 22.What is the additive inverse of 2/7? (a) −2/7 (b) 7/2 (c) −7/2 (d) 2/7
  23. 23.What is 5/6 + (−1/8)? (a) 2/7 (b) 17/24 (c) 23/24 (d) −17/24
  24. 24.What is the additive inverse of 1/5? (a) −1/5 (b) 5 (c) −5 (d) 1/5
  25. 25.Write −12/18 in standard form (lowest terms, positive denominator). (a) −12/18 (b) −3/2 (c) 2/3 (d) −2/3
  26. 26.What is (−1/3) + 5/7? (a) 2/5 (b) −8/21 (c) −22/21 (d) 8/21
  27. 27.Is 8/2 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−1/3) − 4/5? (a) −17/15 (b) 7/15 (c) −5/8 (d) 17/15
  29. 29.What is (−2/7) + (−3/8)? (a) 5/56 (b) −37/56 (c) −1/3 (d) 37/56
  30. 30.What is (−4/5) + (−7/8)? (a) −11/13 (b) 67/40 (c) −67/40 (d) 3/40
  31. 31.What is (−5/9) + 2/3? (a) −1/9 (b) −1/4 (c) 1/9 (d) −11/9
  32. 32.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  33. 33.What is the reciprocal (multiplicative inverse) of −1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  34. 34.Which is smaller: −2/9 or −3/4? (a) −3/4 (b) −2/9
  35. 35.What is the additive inverse of −3/8? (a) −3/8 (b) −8/3 (c) 8/3 (d) 3/8
  36. 36.What is (−6/7) − 4/9? (a) −26/63 (b) −82/63 (c) −5/8 (d) 82/63
  37. 37.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) −28/32 (b) −8/7 (c) −7/8 (d) 7/8
  38. 38.Which is smaller: −1/9 or −1/5? (a) −1/9 (b) −1/5
  39. 39.Which is bigger: −5/7 or −3/8? (a) −5/7 (b) −3/8
  40. 40.What is the reciprocal (multiplicative inverse) of −2/3? (a) 3/2 (b) −2/3 (c) 2/3 (d) −3/2

Answer key

  1. −5/6
  2. −3/4
  3. 7/45
  4. 40/63
  5. −8/7
  6. −2/3
  7. Positive
  8. −1/8
  9. Negative
  10. −2/3
  11. 21/40
  12. 19/42
  13. Positive
  14. Positive
  15. Positive
  16. Negative
  17. −3/4
  18. Negative
  19. Negative
  20. −1/4
  21. 5/6
  22. −2/7
  23. 17/24
  24. −1/5
  25. −2/3
  26. 8/21
  27. Positive
  28. −17/15
  29. −37/56
  30. −67/40
  31. 1/9
  32. 4
  33. −4
  34. −3/4
  35. 3/8
  36. −82/63
  37. −7/8
  38. −1/5
  39. −3/8
  40. −3/2

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