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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 563 · 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.Is −4/(−3) positive or negative? (a) Positive (b) Negative
  2. 2.Is 5/(−6) positive or negative? (a) Positive (b) Negative
  3. 3.What is 1/4 − (−7/8)? (a) 9/8 (b) −5/8 (c) −9/8 (d) 2/3
  4. 4.Write −18/21 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −18/21 (c) −7/6 (d) −6/7
  5. 5.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −4/32 (c) −8/1 (d) −1/8
  6. 6.What is the additive inverse of −2/9? (a) −2/9 (b) −9/2 (c) 9/2 (d) 2/9
  7. 7.What is (−2/9) + 1/7? (a) −5/63 (b) −23/63 (c) 5/63 (d) −1/16
  8. 8.Write −2/6 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −2/6 (c) −3/1 (d) 1/3
  9. 9.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −6/54 (b) 1/9 (c) −1/9 (d) −9/1
  10. 10.Is 8/6 positive or negative? (a) Positive (b) Negative
  11. 11.What is the reciprocal (multiplicative inverse) of −5/8? (a) −5/8 (b) −8/5 (c) 8/5 (d) 5/8
  12. 12.What is the additive inverse of 2/5? (a) 5/2 (b) −5/2 (c) 2/5 (d) −2/5
  13. 13.What is 1/3 + (−4/9)? (a) 1/9 (b) 7/9 (c) −1/4 (d) −1/9
  14. 14.What is 7/9 + (−1/8)? (a) 47/72 (b) −47/72 (c) 6/17 (d) 65/72
  15. 15.What is (−8/9) + 5/7? (a) 11/63 (b) −3/16 (c) −101/63 (d) −11/63
  16. 16.Which is smaller: −6/7 or 4/7? (a) −6/7 (b) 4/7
  17. 17.What is 1/2 − (−3/4)? (a) 2/3 (b) −5/4 (c) −1/4 (d) 5/4
  18. 18.Write −20/25 in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −20/25 (d) −4/5
  19. 19.Is 1/(−8) positive or negative? (a) Positive (b) Negative
  20. 20.What is (−1/8) − (−2/3)? (a) −19/24 (b) 13/24 (c) 1/11 (d) −13/24
  21. 21.What is (−3/7) + (−5/7)? (a) 2/7 (b) 8/7 (c) −4/7 (d) −8/7
  22. 22.What is (−1/9) + 6/7? (a) 5/16 (b) 47/63 (c) −61/63 (d) −47/63
  23. 23.What is (−3/5) + 2/5? (a) 1/5 (b) −1 (c) −1/5 (d) −1/10
  24. 24.Which is smaller: −4/7 or −1/7? (a) −1/7 (b) −4/7
  25. 25.What is (−5/9) + 1/2? (a) −4/11 (b) 1/18 (c) −19/18 (d) −1/18
  26. 26.Which is bigger: −2/3 or −7/8? (a) −7/8 (b) −2/3
  27. 27.Which is bigger: −2/3 or 3/4? (a) 3/4 (b) −2/3
  28. 28.Is −6/(−2) positive or negative? (a) Negative (b) Positive
  29. 29.What is 5/7 + (−3/8)? (a) 2/15 (b) −19/56 (c) 61/56 (d) 19/56
  30. 30.Write −4/20 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −4/20 (c) 1/5 (d) −1/5
  31. 31.What is 1/6 − (−4/7)? (a) 5/13 (b) 31/42 (c) −31/42 (d) −17/42
  32. 32.Is −8/(−6) positive or negative? (a) Positive (b) Negative
  33. 33.Which is smaller: −1/3 or 1/5? (a) 1/5 (b) −1/3
  34. 34.What is (−1/9) + (−7/8)? (a) 71/72 (b) −8/17 (c) 55/72 (d) −71/72
  35. 35.What is 1/3 − (−5/7)? (a) −8/21 (b) −22/21 (c) 22/21 (d) 3/5
  36. 36.What is 5/7 − (−3/4)? (a) −41/28 (b) 8/11 (c) −1/28 (d) 41/28
  37. 37.What is (−1/6) − (−1/2)? (a) −1/3 (b) 1/3 (c) 0 (d) −2/3
  38. 38.What is 6/7 − (−1/7)? (a) 1/2 (b) 5/7 (c) 1 (d) −1
  39. 39.Which is smaller: −1/4 or −8/9? (a) −8/9 (b) −1/4
  40. 40.What is (−5/8) − 3/5? (a) −1/40 (b) −49/40 (c) 49/40 (d) −8/13

Answer key

  1. Positive
  2. Negative
  3. 9/8
  4. −6/7
  5. −1/8
  6. 2/9
  7. −5/63
  8. −1/3
  9. −1/9
  10. Positive
  11. −8/5
  12. −2/5
  13. −1/9
  14. 47/72
  15. −11/63
  16. −6/7
  17. 5/4
  18. −4/5
  19. Negative
  20. 13/24
  21. −8/7
  22. 47/63
  23. −1/5
  24. −4/7
  25. −1/18
  26. −2/3
  27. 3/4
  28. Positive
  29. 19/56
  30. −1/5
  31. 31/42
  32. Positive
  33. −1/3
  34. −71/72
  35. 22/21
  36. 41/28
  37. 1/3
  38. 1
  39. −8/9
  40. −49/40

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