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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 360 · 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 −1/(−8) positive or negative? (a) Negative (b) Positive
  2. 2.Is −8/8 positive or negative? (a) Positive (b) Negative
  3. 3.Which is bigger: −3/7 or 7/8? (a) 7/8 (b) −3/7
  4. 4.What is (−1/4) + (−1/6)? (a) −1/5 (b) 5/12 (c) −1/12 (d) −5/12
  5. 5.What is 1/4 + (−1/2)? (a) −1/4 (b) 0 (c) 3/4 (d) 1/4
  6. 6.Which is smaller: −3/8 or −2/5? (a) −3/8 (b) −2/5
  7. 7.What is (−1/9) − (−1/3)? (a) 2/9 (b) −4/9 (c) −2/9 (d) 0
  8. 8.What is the additive inverse of −1/3? (a) −1/3 (b) −3 (c) 3 (d) 1/3
  9. 9.What is (−8/9) + 1/5? (a) 31/45 (b) −49/45 (c) −31/45 (d) −1/2
  10. 10.Which is bigger: −1/8 or 2/5? (a) −1/8 (b) 2/5
  11. 11.Write −4/12 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −3/1 (d) −4/12
  12. 12.Write −10/14 in standard form (lowest terms, positive denominator). (a) −10/14 (b) −7/5 (c) 5/7 (d) −5/7
  13. 13.Which is bigger: −8/9 or 4/9? (a) 4/9 (b) −8/9
  14. 14.What is the reciprocal (multiplicative inverse) of 1/9? (a) 1/9 (b) −9 (c) 9 (d) −1/9
  15. 15.What is (−2/9) − (−5/9)? (a) 1/3 (b) −1/3 (c) −7/9 (d) 1/6
  16. 16.Which is smaller: −1/7 or 1/5? (a) 1/5 (b) −1/7
  17. 17.Which is bigger: −2/3 or −3/4? (a) −2/3 (b) −3/4
  18. 18.What is (−7/9) − 1/7? (a) −1/2 (b) −40/63 (c) 58/63 (d) −58/63
  19. 19.Which is bigger: −4/9 or −6/7? (a) −6/7 (b) −4/9
  20. 20.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) 1/4 (d) −5/20
  21. 21.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −2/12 (d) −1/6
  22. 22.What is (−6/7) + (−3/4)? (a) 45/28 (b) −3/28 (c) −45/28 (d) −9/11
  23. 23.Which is bigger: −7/9 or 7/8? (a) −7/9 (b) 7/8
  24. 24.What is (−4/9) + (−1/8)? (a) 41/72 (b) −5/17 (c) −23/72 (d) −41/72
  25. 25.What is 1/9 + (−2/3)? (a) 5/9 (b) 7/9 (c) −1/12 (d) −5/9
  26. 26.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) −9/7 (c) 9/7 (d) −7/9
  27. 27.What is 2/3 + (−1/5)? (a) 13/15 (b) 1/8 (c) −7/15 (d) 7/15
  28. 28.What is the additive inverse of 4/7? (a) −7/4 (b) −4/7 (c) 4/7 (d) 7/4
  29. 29.What is (−1/8) + (−7/9)? (a) −65/72 (b) −8/17 (c) 47/72 (d) 65/72
  30. 30.What is (−2/9) + (−2/3)? (a) 4/9 (b) −8/9 (c) −1/3 (d) 8/9
  31. 31.What is (−7/9) + (−3/5)? (a) −8/45 (b) −62/45 (c) 62/45 (d) −5/7
  32. 32.What is (−3/7) + (−3/5)? (a) 36/35 (b) −36/35 (c) 6/35 (d) −1/2
  33. 33.What is (−1/3) − (−2/7)? (a) 1/21 (b) −13/21 (c) 1/10 (d) −1/21
  34. 34.Write −20/25 in standard form (lowest terms, positive denominator). (a) −20/25 (b) 4/5 (c) −5/4 (d) −4/5
  35. 35.Which is bigger: −2/7 or −4/5? (a) −2/7 (b) −4/5
  36. 36.Which is smaller: −1/2 or −7/9? (a) −7/9 (b) −1/2
  37. 37.Write −6/10 in standard form (lowest terms, positive denominator). (a) −6/10 (b) 3/5 (c) −5/3 (d) −3/5
  38. 38.What is the reciprocal (multiplicative inverse) of 7/9? (a) 9/7 (b) −7/9 (c) 7/9 (d) −9/7
  39. 39.What is (−7/8) − 1/4? (a) −2/3 (b) −9/8 (c) 9/8 (d) −5/8
  40. 40.Is −6/7 positive or negative? (a) Negative (b) Positive

Answer key

  1. Positive
  2. Negative
  3. 7/8
  4. −5/12
  5. −1/4
  6. −2/5
  7. 2/9
  8. 1/3
  9. −31/45
  10. 2/5
  11. −1/3
  12. −5/7
  13. 4/9
  14. 9
  15. 1/3
  16. −1/7
  17. −2/3
  18. −58/63
  19. −4/9
  20. −1/4
  21. −1/6
  22. −45/28
  23. 7/8
  24. −41/72
  25. −5/9
  26. −9/7
  27. 7/15
  28. −4/7
  29. −65/72
  30. −8/9
  31. −62/45
  32. −36/35
  33. −1/21
  34. −4/5
  35. −2/7
  36. −7/9
  37. −3/5
  38. 9/7
  39. −9/8
  40. Negative

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