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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 197 · 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 −2/14 in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −2/14 (d) −7/1
  2. 2.Write −9/21 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −9/21
  3. 3.Is 4/2 positive or negative? (a) Negative (b) Positive
  4. 4.What is (−1/6) + (−8/9)? (a) 19/18 (b) 13/18 (c) −19/18 (d) −3/5
  5. 5.Is 1/2 positive or negative? (a) Negative (b) Positive
  6. 6.Is 2/(−2) positive or negative? (a) Negative (b) Positive
  7. 7.What is 3/8 − (−4/7)? (a) −11/56 (b) −53/56 (c) 7/15 (d) 53/56
  8. 8.Which is smaller: −7/8 or −1/4? (a) −7/8 (b) −1/4
  9. 9.What is (−1/3) − (−1/7)? (a) −10/21 (b) −4/21 (c) 4/21 (d) 0
  10. 10.What is 1/4 + (−2/7)? (a) 15/28 (b) 1/28 (c) −1/28 (d) −1/11
  11. 11.Is 5/3 positive or negative? (a) Negative (b) Positive
  12. 12.Is 3/(−9) positive or negative? (a) Negative (b) Positive
  13. 13.What is the additive inverse of −3/5? (a) −3/5 (b) −5/3 (c) 3/5 (d) 5/3
  14. 14.Write −10/12 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) −10/12 (d) 5/6
  15. 15.Is 1/(−3) positive or negative? (a) Positive (b) Negative
  16. 16.What is the additive inverse of 1/5? (a) −5 (b) 1/5 (c) −1/5 (d) 5
  17. 17.Is −8/6 positive or negative? (a) Negative (b) Positive
  18. 18.What is the additive inverse of −1/8? (a) −8 (b) −1/8 (c) 8 (d) 1/8
  19. 19.Which is bigger: −2/7 or 1/5? (a) −2/7 (b) 1/5
  20. 20.What is 8/9 + (−1/9)? (a) 7/18 (b) 7/9 (c) −7/9 (d) 1
  21. 21.What is (−4/5) − 1/9? (a) −5/14 (b) 41/45 (c) −41/45 (d) −31/45
  22. 22.Which is smaller: −4/9 or −1/4? (a) −1/4 (b) −4/9
  23. 23.What is (−5/8) − 1/8? (a) −1/2 (b) 3/4 (c) −3/8 (d) −3/4
  24. 24.What is (−2/5) − (−1/5)? (a) 1/5 (b) −3/5 (c) −1/10 (d) −1/5
  25. 25.Is 6/2 positive or negative? (a) Positive (b) Negative
  26. 26.Which is smaller: −5/6 or −4/7? (a) −4/7 (b) −5/6
  27. 27.What is 7/9 − (−3/5)? (a) 5/7 (b) −62/45 (c) 62/45 (d) 8/45
  28. 28.What is (−1/9) − 1/7? (a) −16/63 (b) −1/8 (c) 2/63 (d) 16/63
  29. 29.What is the additive inverse of 8/9? (a) −9/8 (b) 8/9 (c) 9/8 (d) −8/9
  30. 30.What is (−1/5) + 3/7? (a) −22/35 (b) −8/35 (c) 8/35 (d) 1/6
  31. 31.Is −3/(−7) positive or negative? (a) Negative (b) Positive
  32. 32.Write −6/27 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −6/27 (d) −2/9
  33. 33.What is 3/5 − (−3/8)? (a) 6/13 (b) 39/40 (c) 9/40 (d) −39/40
  34. 34.Is −2/(−5) positive or negative? (a) Negative (b) Positive
  35. 35.What is (−1/3) + 5/9? (a) 1/3 (b) 2/9 (c) −8/9 (d) −2/9
  36. 36.Which is smaller: −1/5 or −5/6? (a) −5/6 (b) −1/5
  37. 37.What is 3/4 + (−5/8)? (a) 11/8 (b) −1/6 (c) 1/8 (d) −1/8
  38. 38.What is (−1/2) + 5/9? (a) −1/18 (b) 4/11 (c) 1/18 (d) −19/18
  39. 39.Write −12/14 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −12/14 (d) −6/7
  40. 40.What is the additive inverse of −2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2

Answer key

  1. −1/7
  2. −3/7
  3. Positive
  4. −19/18
  5. Positive
  6. Negative
  7. 53/56
  8. −7/8
  9. −4/21
  10. −1/28
  11. Positive
  12. Negative
  13. 3/5
  14. −5/6
  15. Negative
  16. −1/5
  17. Negative
  18. 1/8
  19. 1/5
  20. 7/9
  21. −41/45
  22. −4/9
  23. −3/4
  24. −1/5
  25. Positive
  26. −5/6
  27. 62/45
  28. −16/63
  29. −8/9
  30. 8/35
  31. Positive
  32. −2/9
  33. 39/40
  34. Positive
  35. 2/9
  36. −5/6
  37. 1/8
  38. 1/18
  39. −6/7
  40. 2/7

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