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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 150 · 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 the reciprocal (multiplicative inverse) of −2/7? (a) −7/2 (b) −2/7 (c) 7/2 (d) 2/7
  2. 2.Is 9/(−7) positive or negative? (a) Positive (b) Negative
  3. 3.Which is bigger: −5/8 or −2/9? (a) −5/8 (b) −2/9
  4. 4.Which is smaller: −5/9 or −5/8? (a) −5/8 (b) −5/9
  5. 5.Write −6/10 in standard form (lowest terms, positive denominator). (a) −6/10 (b) 3/5 (c) −3/5 (d) −5/3
  6. 6.Is 9/3 positive or negative? (a) Positive (b) Negative
  7. 7.Write −12/14 in standard form (lowest terms, positive denominator). (a) −12/14 (b) −7/6 (c) 6/7 (d) −6/7
  8. 8.What is the additive inverse of −1/9? (a) −1/9 (b) 1/9 (c) 9 (d) −9
  9. 9.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −6/9 (c) 2/3 (d) −3/2
  10. 10.Which is bigger: −1/8 or 3/7? (a) −1/8 (b) 3/7
  11. 11.Is −3/(−3) positive or negative? (a) Positive (b) Negative
  12. 12.What is 5/9 + (−6/7)? (a) 89/63 (b) −19/63 (c) 19/63 (d) −1/16
  13. 13.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  14. 14.What is 2/3 + (−5/9)? (a) −1/4 (b) 11/9 (c) −1/9 (d) 1/9
  15. 15.Write −30/36 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −30/36 (c) −6/5 (d) −5/6
  16. 16.Write −28/36 in standard form (lowest terms, positive denominator). (a) −28/36 (b) 7/9 (c) −7/9 (d) −9/7
  17. 17.What is (−5/7) + (−8/9)? (a) 11/63 (b) −13/16 (c) 101/63 (d) −101/63
  18. 18.What is (−2/9) − 3/7? (a) 41/63 (b) −41/63 (c) −5/16 (d) 13/63
  19. 19.Which is smaller: −5/6 or 5/7? (a) 5/7 (b) −5/6
  20. 20.What is (−1/6) + (−4/5)? (a) −5/11 (b) 29/30 (c) 19/30 (d) −29/30
  21. 21.What is the additive inverse of 7/9? (a) 7/9 (b) 9/7 (c) −9/7 (d) −7/9
  22. 22.Which is bigger: −2/3 or 4/5? (a) 4/5 (b) −2/3
  23. 23.Is −5/9 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−5/7) + 1/9? (a) 38/63 (b) −52/63 (c) −38/63 (d) −1/4
  25. 25.Is 5/(−3) positive or negative? (a) Negative (b) Positive
  26. 26.What is (−1/6) + 3/7? (a) 2/13 (b) −11/42 (c) −25/42 (d) 11/42
  27. 27.Which is smaller: −1/6 or −1/4? (a) −1/6 (b) −1/4
  28. 28.Write −15/21 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −15/21 (c) −7/5 (d) −5/7
  29. 29.What is 3/4 + (−7/8)? (a) −1/8 (b) −1/3 (c) 13/8 (d) 1/8
  30. 30.Which is bigger: −4/9 or −2/7? (a) −2/7 (b) −4/9
  31. 31.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) 5/4 (c) 4/5 (d) −5/4
  32. 32.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −7/6 (d) −18/21
  33. 33.Which is bigger: −4/9 or −3/4? (a) −3/4 (b) −4/9
  34. 34.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) 8/3 (c) −3/8 (d) 3/8
  35. 35.What is (−1/3) − 7/8? (a) −29/24 (b) 13/24 (c) −8/11 (d) 29/24
  36. 36.Which is bigger: −5/6 or −3/4? (a) −3/4 (b) −5/6
  37. 37.What is 1/2 + (−3/5)? (a) −1/10 (b) 1/10 (c) −2/7 (d) 11/10
  38. 38.What is (−3/5) − (−8/9)? (a) 13/45 (b) −67/45 (c) −13/45 (d) 5/14
  39. 39.What is (−2/5) + (−1/2)? (a) 1/10 (b) 9/10 (c) −3/7 (d) −9/10
  40. 40.What is 3/5 + (−7/9)? (a) 8/45 (b) −2/7 (c) 62/45 (d) −8/45

Answer key

  1. −7/2
  2. Negative
  3. −2/9
  4. −5/8
  5. −3/5
  6. Positive
  7. −6/7
  8. 1/9
  9. −2/3
  10. 3/7
  11. Positive
  12. −19/63
  13. Negative
  14. 1/9
  15. −5/6
  16. −7/9
  17. −101/63
  18. −41/63
  19. −5/6
  20. −29/30
  21. −7/9
  22. 4/5
  23. Negative
  24. −38/63
  25. Negative
  26. 11/42
  27. −1/4
  28. −5/7
  29. −1/8
  30. −2/7
  31. 5/4
  32. −6/7
  33. −4/9
  34. 8/3
  35. −29/24
  36. −3/4
  37. −1/10
  38. 13/45
  39. −9/10
  40. −8/45

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