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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 674 · 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 5/7 − (−1/9)? (a) 38/63 (b) −52/63 (c) 3/8 (d) 52/63
  2. 2.Is −7/(−6) positive or negative? (a) Positive (b) Negative
  3. 3.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −4/7 (b) 4/7 (c) −8/14 (d) −7/4
  4. 4.What is 1/9 + (−1/9)? (a) 0 (b) 2/9
  5. 5.What is (−1/2) − (−1/4)? (a) 0 (b) −3/4 (c) 1/4 (d) −1/4
  6. 6.Write −4/8 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −1/2 (d) −4/8
  7. 7.Which is bigger: −6/7 or −2/5? (a) −2/5 (b) −6/7
  8. 8.Which is bigger: −1/2 or −5/7? (a) −1/2 (b) −5/7
  9. 9.Is −7/7 positive or negative? (a) Positive (b) Negative
  10. 10.Is −2/5 positive or negative? (a) Positive (b) Negative
  11. 11.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −2/14 (d) −1/7
  12. 12.What is the additive inverse of −1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2
  13. 13.Is 1/(−4) positive or negative? (a) Positive (b) Negative
  14. 14.Is −1/(−5) positive or negative? (a) Negative (b) Positive
  15. 15.Which is bigger: −2/5 or −8/9? (a) −2/5 (b) −8/9
  16. 16.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −9/21 (d) −3/7
  17. 17.What is (−1/9) + 2/7? (a) −11/63 (b) 11/63 (c) −25/63 (d) 1/16
  18. 18.Which is smaller: −5/9 or −5/6? (a) −5/9 (b) −5/6
  19. 19.What is (−1/3) + 5/8? (a) −23/24 (b) 4/11 (c) 7/24 (d) −7/24
  20. 20.Is 5/(−2) positive or negative? (a) Positive (b) Negative
  21. 21.Which is smaller: −1/7 or 1/2? (a) 1/2 (b) −1/7
  22. 22.What is the additive inverse of 4/7? (a) −7/4 (b) 4/7 (c) −4/7 (d) 7/4
  23. 23.Which is bigger: −6/7 or 1/7? (a) 1/7 (b) −6/7
  24. 24.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −6/16 (c) −8/3 (d) −3/8
  25. 25.Is −3/6 positive or negative? (a) Negative (b) Positive
  26. 26.What is 3/8 − (−1/7)? (a) 29/56 (b) 13/56 (c) 4/15 (d) −29/56
  27. 27.Which is smaller: −6/7 or −3/5? (a) −3/5 (b) −6/7
  28. 28.What is (−2/5) − 5/8? (a) −7/13 (b) 41/40 (c) −41/40 (d) 9/40
  29. 29.What is 3/7 + (−4/9)? (a) −1/16 (b) −1/63 (c) 55/63 (d) 1/63
  30. 30.Which is bigger: −1/7 or 1/8? (a) −1/7 (b) 1/8
  31. 31.Write −16/20 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −4/5 (c) −5/4 (d) −16/20
  32. 32.Is −1/3 positive or negative? (a) Positive (b) Negative
  33. 33.What is (−1/6) + 5/6? (a) −2/3 (b) −1 (c) 1/3 (d) 2/3
  34. 34.What is the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) 8 (c) 1/8 (d) −8
  35. 35.What is the additive inverse of −6/7? (a) 6/7 (b) −7/6 (c) 7/6 (d) −6/7
  36. 36.What is 5/8 + (−5/7)? (a) 75/56 (b) 0 (c) 5/56 (d) −5/56
  37. 37.What is (−5/9) + (−4/5)? (a) −9/14 (b) −61/45 (c) 11/45 (d) 61/45
  38. 38.What is the reciprocal (multiplicative inverse) of −5/8? (a) −5/8 (b) 8/5 (c) 5/8 (d) −8/5
  39. 39.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −1/7 (c) −3/21 (d) −7/1
  40. 40.What is (−5/9) + 1/3? (a) −1/3 (b) −8/9 (c) −2/9 (d) 2/9

Answer key

  1. 52/63
  2. Positive
  3. −4/7
  4. 0
  5. −1/4
  6. −1/2
  7. −2/5
  8. −1/2
  9. Negative
  10. Negative
  11. −1/7
  12. 1/2
  13. Negative
  14. Positive
  15. −2/5
  16. −3/7
  17. 11/63
  18. −5/6
  19. 7/24
  20. Negative
  21. −1/7
  22. −4/7
  23. 1/7
  24. −3/8
  25. Negative
  26. 29/56
  27. −6/7
  28. −41/40
  29. −1/63
  30. 1/8
  31. −4/5
  32. Negative
  33. 2/3
  34. 8
  35. 6/7
  36. −5/56
  37. −61/45
  38. −8/5
  39. −1/7
  40. −2/9

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