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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 545 · 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 −3/4 positive or negative? (a) Positive (b) Negative
  2. 2.What is the additive inverse of 1/2? (a) 1/2 (b) 2 (c) −2 (d) −1/2
  3. 3.What is 1/9 + (−4/7)? (a) 43/63 (b) −29/63 (c) −3/16 (d) 29/63
  4. 4.Write −5/30 in standard form (lowest terms, positive denominator). (a) −5/30 (b) −1/6 (c) 1/6 (d) −6/1
  5. 5.What is 1/2 + (−1/5)? (a) 7/10 (b) −3/10 (c) 0 (d) 3/10
  6. 6.Write −4/32 in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −4/32 (d) −1/8
  7. 7.Is −7/3 positive or negative? (a) Positive (b) Negative
  8. 8.Which is bigger: −4/7 or 5/9? (a) 5/9 (b) −4/7
  9. 9.What is (−1/5) − 7/8? (a) 27/40 (b) −8/13 (c) 43/40 (d) −43/40
  10. 10.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −2/9 (b) −9/2 (c) −4/18 (d) 2/9
  11. 11.What is (−5/8) + (−7/8)? (a) −3/2 (b) 1/4 (c) 3/2 (d) −3/4
  12. 12.Write −4/28 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −4/28 (c) −7/1 (d) −1/7
  13. 13.Which is bigger: −1/8 or 7/8? (a) 7/8 (b) −1/8
  14. 14.What is the additive inverse of 7/9? (a) −9/7 (b) 7/9 (c) 9/7 (d) −7/9
  15. 15.Which is smaller: −2/9 or 7/8? (a) −2/9 (b) 7/8
  16. 16.Is −8/8 positive or negative? (a) Positive (b) Negative
  17. 17.Which is bigger: −1/5 or 2/5? (a) −1/5 (b) 2/5
  18. 18.What is the additive inverse of −1/4? (a) 4 (b) 1/4 (c) −1/4 (d) −4
  19. 19.Which is bigger: −2/5 or −5/8? (a) −5/8 (b) −2/5
  20. 20.What is the additive inverse of 8/9? (a) −9/8 (b) 8/9 (c) 9/8 (d) −8/9
  21. 21.What is (−6/7) + (−1/3)? (a) −7/10 (b) 25/21 (c) −25/21 (d) −11/21
  22. 22.What is (−3/5) + 2/3? (a) −19/15 (b) 1/15 (c) −1/15 (d) −1/8
  23. 23.What is (−1/5) + 7/9? (a) 26/45 (b) −44/45 (c) −26/45 (d) 3/7
  24. 24.Which is smaller: −5/7 or −1/7? (a) −1/7 (b) −5/7
  25. 25.What is (−2/3) − (−5/7)? (a) 1/21 (b) 3/10 (c) −29/21 (d) −1/21
  26. 26.Write −8/10 in standard form (lowest terms, positive denominator). (a) −8/10 (b) 4/5 (c) −5/4 (d) −4/5
  27. 27.Is −2/5 positive or negative? (a) Positive (b) Negative
  28. 28.Is −2/2 positive or negative? (a) Negative (b) Positive
  29. 29.What is 2/5 − (−2/5)? (a) 0 (b) 2/5 (c) 4/5 (d) −4/5
  30. 30.Is −9/2 positive or negative? (a) Negative (b) Positive
  31. 31.Is −5/6 positive or negative? (a) Negative (b) Positive
  32. 32.Which is bigger: −2/5 or −2/3? (a) −2/5 (b) −2/3
  33. 33.Which is bigger: −5/7 or 1/9? (a) −5/7 (b) 1/9
  34. 34.Which is smaller: −4/5 or −2/9? (a) −4/5 (b) −2/9
  35. 35.Which is bigger: −1/8 or 3/7? (a) 3/7 (b) −1/8
  36. 36.What is (−4/7) − (−3/5)? (a) −1/12 (b) −1/35 (c) −41/35 (d) 1/35
  37. 37.Is −5/8 positive or negative? (a) Positive (b) Negative
  38. 38.Is −8/5 positive or negative? (a) Positive (b) Negative
  39. 39.Write −4/8 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −4/8 (c) −2/1 (d) −1/2
  40. 40.Which is smaller: −5/7 or −4/9? (a) −4/9 (b) −5/7

Answer key

  1. Negative
  2. −1/2
  3. −29/63
  4. −1/6
  5. 3/10
  6. −1/8
  7. Negative
  8. 5/9
  9. −43/40
  10. −2/9
  11. −3/2
  12. −1/7
  13. 7/8
  14. −7/9
  15. −2/9
  16. Negative
  17. 2/5
  18. 1/4
  19. −2/5
  20. −8/9
  21. −25/21
  22. 1/15
  23. 26/45
  24. −5/7
  25. 1/21
  26. −4/5
  27. Negative
  28. Negative
  29. 4/5
  30. Negative
  31. Negative
  32. −2/5
  33. 1/9
  34. −4/5
  35. 3/7
  36. 1/35
  37. Negative
  38. Negative
  39. −1/2
  40. −5/7

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