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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 216 · 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 −8/(−4) positive or negative? (a) Negative (b) Positive
  2. 2.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) 8/7 (c) −8/7 (d) 7/8
  3. 3.What is the additive inverse of 4/5? (a) −4/5 (b) 5/4 (c) 4/5 (d) −5/4
  4. 4.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −8/7 (c) 8/7 (d) −7/8
  5. 5.What is (−2/7) + (−3/7)? (a) 1/7 (b) 5/7 (c) −5/14 (d) −5/7
  6. 6.What is the additive inverse of −4/5? (a) −4/5 (b) −5/4 (c) 4/5 (d) 5/4
  7. 7.What is (−5/7) + (−3/4)? (a) 1/28 (b) −8/11 (c) 41/28 (d) −41/28
  8. 8.Which is smaller: −1/5 or −1/7? (a) −1/7 (b) −1/5
  9. 9.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) −10/12 (d) 5/6
  10. 10.Is −2/3 positive or negative? (a) Negative (b) Positive
  11. 11.Which is smaller: −1/4 or 2/3? (a) 2/3 (b) −1/4
  12. 12.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) 5/2 (c) −5/2 (d) −2/5
  13. 13.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) −2 (c) 2 (d) 1/2
  14. 14.Is 8/(−5) positive or negative? (a) Positive (b) Negative
  15. 15.What is the additive inverse of 1/9? (a) −9 (b) 1/9 (c) 9 (d) −1/9
  16. 16.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −4/7 (b) 4/7 (c) −20/35 (d) −7/4
  17. 17.What is (−5/9) + 2/9? (a) 1/3 (b) −7/9 (c) −1/6 (d) −1/3
  18. 18.Is −2/7 positive or negative? (a) Negative (b) Positive
  19. 19.What is the reciprocal (multiplicative inverse) of 4/5? (a) −5/4 (b) 4/5 (c) 5/4 (d) −4/5
  20. 20.What is (−1/3) + 1/3? (a) 0 (b) −2/3
  21. 21.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −4/10 (b) −5/2 (c) −2/5 (d) 2/5
  22. 22.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) −1/4 (c) −4 (d) 1/4
  23. 23.Which is smaller: −1/2 or −6/7? (a) −6/7 (b) −1/2
  24. 24.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) 1/3 (c) −1/3 (d) −3
  25. 25.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −21/24 (c) −8/7 (d) −7/8
  26. 26.What is (−1/2) − 2/9? (a) 13/18 (b) −3/11 (c) −5/18 (d) −13/18
  27. 27.Is −1/5 positive or negative? (a) Negative (b) Positive
  28. 28.Which is smaller: −2/9 or −6/7? (a) −6/7 (b) −2/9
  29. 29.Write −10/45 in standard form (lowest terms, positive denominator). (a) −10/45 (b) −2/9 (c) 2/9 (d) −9/2
  30. 30.Is 5/(−2) positive or negative? (a) Positive (b) Negative
  31. 31.Write −18/21 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −6/7 (c) −7/6 (d) −18/21
  32. 32.What is (−1/9) + 5/7? (a) 38/63 (b) −38/63 (c) 1/4 (d) −52/63
  33. 33.Which is bigger: −4/9 or −1/3? (a) −1/3 (b) −4/9
  34. 34.Which is bigger: −5/7 or −4/5? (a) −5/7 (b) −4/5
  35. 35.Which is smaller: −2/5 or 5/7? (a) −2/5 (b) 5/7
  36. 36.Which is bigger: −4/9 or 3/5? (a) −4/9 (b) 3/5
  37. 37.What is 4/7 + (−3/4)? (a) −5/28 (b) 1/11 (c) 5/28 (d) 37/28
  38. 38.Write −2/14 in standard form (lowest terms, positive denominator). (a) −2/14 (b) −1/7 (c) −7/1 (d) 1/7
  39. 39.What is 4/7 − (−7/9)? (a) 11/16 (b) −85/63 (c) 85/63 (d) −13/63
  40. 40.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −16/36 (c) 4/9 (d) −4/9

Answer key

  1. Positive
  2. 8/7
  3. −4/5
  4. −8/7
  5. −5/7
  6. 4/5
  7. −41/28
  8. −1/5
  9. −5/6
  10. Negative
  11. −1/4
  12. −5/2
  13. −2
  14. Negative
  15. −1/9
  16. −4/7
  17. −1/3
  18. Negative
  19. 5/4
  20. 0
  21. −2/5
  22. 4
  23. −6/7
  24. 3
  25. −7/8
  26. −13/18
  27. Negative
  28. −6/7
  29. −2/9
  30. Negative
  31. −6/7
  32. 38/63
  33. −1/3
  34. −5/7
  35. −2/5
  36. 3/5
  37. −5/28
  38. −1/7
  39. 85/63
  40. −4/9

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