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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 146 · 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 (−1/9) − 1/7? (a) −16/63 (b) −1/8 (c) 2/63 (d) 16/63
  2. 2.What is (−1/6) − 1/9? (a) 5/18 (b) −2/15 (c) −1/18 (d) −5/18
  3. 3.What is (−3/7) + (−4/5)? (a) −43/35 (b) −7/12 (c) 13/35 (d) 43/35
  4. 4.What is 1/3 − (−2/7)? (a) −13/21 (b) 3/10 (c) 1/21 (d) 13/21
  5. 5.Which is smaller: −8/9 or −4/9? (a) −4/9 (b) −8/9
  6. 6.What is the additive inverse of 5/9? (a) 5/9 (b) −9/5 (c) −5/9 (d) 9/5
  7. 7.What is the additive inverse of −5/7? (a) 5/7 (b) 7/5 (c) −7/5 (d) −5/7
  8. 8.Is −8/(−2) positive or negative? (a) Negative (b) Positive
  9. 9.What is (−2/3) − 5/7? (a) 29/21 (b) 1/21 (c) −7/10 (d) −29/21
  10. 10.Which is smaller: −2/5 or 1/6? (a) −2/5 (b) 1/6
  11. 11.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −1/9 (d) −2/18
  12. 12.What is the additive inverse of −7/9? (a) −9/7 (b) −7/9 (c) 9/7 (d) 7/9
  13. 13.Is 2/8 positive or negative? (a) Negative (b) Positive
  14. 14.Is −7/6 positive or negative? (a) Negative (b) Positive
  15. 15.What is 6/7 − (−5/9)? (a) 89/63 (b) −89/63 (c) 11/16 (d) 19/63
  16. 16.What is (−1/7) + 8/9? (a) 47/63 (b) −47/63 (c) 7/16 (d) −65/63
  17. 17.What is the reciprocal (multiplicative inverse) of −2/9? (a) −2/9 (b) 9/2 (c) −9/2 (d) 2/9
  18. 18.Which is bigger: −3/8 or 6/7? (a) −3/8 (b) 6/7
  19. 19.Write −16/28 in standard form (lowest terms, positive denominator). (a) −4/7 (b) 4/7 (c) −7/4 (d) −16/28
  20. 20.What is the additive inverse of −1/7? (a) 1/7 (b) −7 (c) 7 (d) −1/7
  21. 21.Which is smaller: −3/5 or −5/7? (a) −5/7 (b) −3/5
  22. 22.What is (−2/7) − (−1/7)? (a) −1/7 (b) 1/7 (c) −1/14 (d) −3/7
  23. 23.Write −16/20 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −16/20 (c) 4/5 (d) −4/5
  24. 24.What is the additive inverse of 3/5? (a) −3/5 (b) −5/3 (c) 5/3 (d) 3/5
  25. 25.What is 4/5 + (−2/7)? (a) 38/35 (b) −18/35 (c) 1/6 (d) 18/35
  26. 26.What is (−3/8) + 3/8? (a) 0 (b) −3/4
  27. 27.Is 4/7 positive or negative? (a) Negative (b) Positive
  28. 28.What is (−3/5) + (−4/7)? (a) 41/35 (b) −41/35 (c) −1/35 (d) −7/12
  29. 29.What is (−5/9) − (−3/8)? (a) −67/72 (b) −13/72 (c) −2/17 (d) 13/72
  30. 30.What is (−5/9) − (−1/7)? (a) −26/63 (b) 26/63 (c) −44/63 (d) −1/4
  31. 31.What is (−4/7) − (−2/7)? (a) 2/7 (b) −2/7 (c) −1/7 (d) −6/7
  32. 32.Which is smaller: −4/5 or 4/9? (a) 4/9 (b) −4/5
  33. 33.What is the additive inverse of 8/9? (a) 9/8 (b) −9/8 (c) −8/9 (d) 8/9
  34. 34.Write −14/16 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −14/16 (c) 7/8 (d) −7/8
  35. 35.What is 2/3 + (−1/3)? (a) −1/3 (b) 1/6 (c) 1 (d) 1/3
  36. 36.Is 5/(−3) positive or negative? (a) Negative (b) Positive
  37. 37.What is (−2/5) + (−1/2)? (a) 9/10 (b) 1/10 (c) −3/7 (d) −9/10
  38. 38.What is 2/5 − (−3/8)? (a) 1/40 (b) 31/40 (c) −31/40 (d) 5/13
  39. 39.Is 2/2 positive or negative? (a) Positive (b) Negative
  40. 40.Is −7/5 positive or negative? (a) Negative (b) Positive

Answer key

  1. −16/63
  2. −5/18
  3. −43/35
  4. 13/21
  5. −8/9
  6. −5/9
  7. 5/7
  8. Positive
  9. −29/21
  10. −2/5
  11. −1/9
  12. 7/9
  13. Positive
  14. Negative
  15. 89/63
  16. 47/63
  17. −9/2
  18. 6/7
  19. −4/7
  20. 1/7
  21. −5/7
  22. −1/7
  23. −4/5
  24. −3/5
  25. 18/35
  26. 0
  27. Positive
  28. −41/35
  29. −13/72
  30. −26/63
  31. −2/7
  32. −4/5
  33. −8/9
  34. −7/8
  35. 1/3
  36. Negative
  37. −9/10
  38. 31/40
  39. Positive
  40. Negative

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