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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 209 · 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 −9/8 positive or negative? (a) Positive (b) Negative
  2. 2.What is 1/5 + (−1/8)? (a) 3/40 (b) 13/40 (c) −3/40 (d) 0
  3. 3.What is (−4/9) + (−5/9)? (a) −1/2 (b) 1/9 (c) −1 (d) 1
  4. 4.Which is smaller: −3/7 or −5/6? (a) −5/6 (b) −3/7
  5. 5.What is (−2/5) + (−1/5)? (a) 3/5 (b) −1/5 (c) −3/5 (d) −3/10
  6. 6.Write −32/36 in standard form (lowest terms, positive denominator). (a) −9/8 (b) 8/9 (c) −8/9 (d) −32/36
  7. 7.Which is smaller: −2/3 or 1/9? (a) 1/9 (b) −2/3
  8. 8.Is 2/2 positive or negative? (a) Negative (b) Positive
  9. 9.What is (−5/9) + (−6/7)? (a) −89/63 (b) 89/63 (c) 19/63 (d) −11/16
  10. 10.What is the additive inverse of 5/6? (a) 5/6 (b) −5/6 (c) −6/5 (d) 6/5
  11. 11.Which is smaller: −2/5 or −5/6? (a) −2/5 (b) −5/6
  12. 12.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3
  13. 13.Which is smaller: −5/7 or 7/9? (a) 7/9 (b) −5/7
  14. 14.What is 3/5 + (−5/9)? (a) −1/7 (b) −2/45 (c) 52/45 (d) 2/45
  15. 15.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −3/7 (b) −9/21 (c) 3/7 (d) −7/3
  16. 16.What is the reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) −6/7 (c) 7/6 (d) 6/7
  17. 17.What is 3/7 − (−8/9)? (a) 11/16 (b) 83/63 (c) −29/63 (d) −83/63
  18. 18.Which is smaller: −2/9 or 7/8? (a) −2/9 (b) 7/8
  19. 19.Write −16/18 in standard form (lowest terms, positive denominator). (a) −16/18 (b) 8/9 (c) −8/9 (d) −9/8
  20. 20.What is the additive inverse of −1/8? (a) 8 (b) −8 (c) 1/8 (d) −1/8
  21. 21.Is 5/3 positive or negative? (a) Negative (b) Positive
  22. 22.Which is bigger: −1/3 or 3/5? (a) −1/3 (b) 3/5
  23. 23.Is 9/(−5) positive or negative? (a) Negative (b) Positive
  24. 24.Which is bigger: −7/8 or 4/5? (a) −7/8 (b) 4/5
  25. 25.What is 2/5 − (−1/5)? (a) −3/5 (b) 3/5 (c) 3/10 (d) 1/5
  26. 26.What is (−2/7) + 3/7? (a) 1/7 (b) −1/7 (c) −5/7 (d) 1/14
  27. 27.Is −9/4 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−3/4) − (−5/8)? (a) −1/8 (b) −11/8 (c) 1/8 (d) 1/6
  29. 29.Is −7/(−5) positive or negative? (a) Negative (b) Positive
  30. 30.Is 4/(−4) positive or negative? (a) Positive (b) Negative
  31. 31.What is (−1/6) + (−5/9)? (a) −2/5 (b) 13/18 (c) 7/18 (d) −13/18
  32. 32.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −2/9 (b) −8/36 (c) −9/2 (d) 2/9
  33. 33.Which is smaller: −1/6 or −1/7? (a) −1/7 (b) −1/6
  34. 34.What is (−2/5) + 2/7? (a) −4/35 (b) 4/35 (c) 0 (d) −24/35
  35. 35.What is the reciprocal (multiplicative inverse) of 3/8? (a) 3/8 (b) −3/8 (c) 8/3 (d) −8/3
  36. 36.Is 4/8 positive or negative? (a) Positive (b) Negative
  37. 37.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) −1/4 (c) 4 (d) 1/4
  38. 38.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) 1/5 (d) −5/25
  39. 39.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −2/1 (d) −3/6
  40. 40.What is the additive inverse of 4/7? (a) 7/4 (b) −7/4 (c) 4/7 (d) −4/7

Answer key

  1. Negative
  2. 3/40
  3. −1
  4. −5/6
  5. −3/5
  6. −8/9
  7. −2/3
  8. Positive
  9. −89/63
  10. −5/6
  11. −5/6
  12. 3
  13. −5/7
  14. 2/45
  15. −3/7
  16. 7/6
  17. 83/63
  18. −2/9
  19. −8/9
  20. 1/8
  21. Positive
  22. 3/5
  23. Negative
  24. 4/5
  25. 3/5
  26. 1/7
  27. Negative
  28. −1/8
  29. Positive
  30. Negative
  31. −13/18
  32. −2/9
  33. −1/6
  34. −4/35
  35. 8/3
  36. Positive
  37. 4
  38. −1/5
  39. −1/2
  40. −4/7

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