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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 975 · 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 additive inverse of −4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  2. 2.Which is smaller: −1/2 or −2/3? (a) −1/2 (b) −2/3
  3. 3.Is 3/9 positive or negative? (a) Negative (b) Positive
  4. 4.Which is smaller: −6/7 or −4/7? (a) −4/7 (b) −6/7
  5. 5.What is 1/3 + (−3/7)? (a) 16/21 (b) −2/21 (c) −1/5 (d) 2/21
  6. 6.Is −4/(−8) positive or negative? (a) Positive (b) Negative
  7. 7.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −2/6 (c) −1/3 (d) −3/1
  8. 8.What is (−8/9) − (−5/8)? (a) −19/72 (b) 19/72 (c) −109/72 (d) −3/17
  9. 9.Write −12/28 in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) −12/28 (d) 3/7
  10. 10.Which is bigger: −4/9 or −3/5? (a) −3/5 (b) −4/9
  11. 11.What is the additive inverse of −5/6? (a) −6/5 (b) −5/6 (c) 6/5 (d) 5/6
  12. 12.What is 3/7 + (−2/7)? (a) 5/7 (b) 1/14 (c) 1/7 (d) −1/7
  13. 13.Is 7/2 positive or negative? (a) Positive (b) Negative
  14. 14.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) 3/4 (c) −3/4 (d) −4/3
  15. 15.Is 6/8 positive or negative? (a) Positive (b) Negative
  16. 16.Is −8/9 positive or negative? (a) Negative (b) Positive
  17. 17.Write −4/24 in standard form (lowest terms, positive denominator). (a) −1/6 (b) 1/6 (c) −6/1 (d) −4/24
  18. 18.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  19. 19.Is −6/(−6) positive or negative? (a) Negative (b) Positive
  20. 20.What is (−3/4) + 2/7? (a) −13/28 (b) −1/11 (c) −29/28 (d) 13/28
  21. 21.What is (−4/5) + (−2/7)? (a) −1/2 (b) −18/35 (c) −38/35 (d) 38/35
  22. 22.What is (−1/4) − (−5/8)? (a) 3/8 (b) 1/3 (c) −7/8 (d) −3/8
  23. 23.Is 5/(−5) positive or negative? (a) Positive (b) Negative
  24. 24.What is 4/7 − (−7/8)? (a) −81/56 (b) 11/15 (c) 81/56 (d) −17/56
  25. 25.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −8/18 (b) −4/9 (c) 4/9 (d) −9/4
  26. 26.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −8/5 (b) 5/8 (c) −5/8 (d) −25/40
  27. 27.What is 5/6 − (−1/7)? (a) 29/42 (b) 6/13 (c) 41/42 (d) −41/42
  28. 28.What is (−1/9) + 1/3? (a) 0 (b) 2/9 (c) −2/9 (d) −4/9
  29. 29.What is (−4/7) − 1/9? (a) −29/63 (b) −5/16 (c) −43/63 (d) 43/63
  30. 30.Write −12/14 in standard form (lowest terms, positive denominator). (a) −12/14 (b) −7/6 (c) 6/7 (d) −6/7
  31. 31.What is the reciprocal (multiplicative inverse) of −7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8
  32. 32.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −2/3 (d) −6/9
  33. 33.What is (−3/4) + 1/7? (a) −2/11 (b) −17/28 (c) 17/28 (d) −25/28
  34. 34.What is 2/5 + (−7/8)? (a) −19/40 (b) 19/40 (c) 51/40 (d) −5/13
  35. 35.What is the reciprocal (multiplicative inverse) of 3/4? (a) −3/4 (b) 4/3 (c) 3/4 (d) −4/3
  36. 36.Which is bigger: −1/4 or −2/9? (a) −2/9 (b) −1/4
  37. 37.What is (−3/7) + 1/3? (a) −1/5 (b) 2/21 (c) −16/21 (d) −2/21
  38. 38.What is the additive inverse of −4/5? (a) 5/4 (b) 4/5 (c) −5/4 (d) −4/5
  39. 39.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −24/54 (c) −4/9 (d) −9/4
  40. 40.What is the additive inverse of 1/8? (a) 1/8 (b) −8 (c) −1/8 (d) 8

Answer key

  1. 4/7
  2. −2/3
  3. Positive
  4. −6/7
  5. −2/21
  6. Positive
  7. −1/3
  8. −19/72
  9. −3/7
  10. −4/9
  11. 5/6
  12. 1/7
  13. Positive
  14. −4/3
  15. Positive
  16. Negative
  17. −1/6
  18. 4
  19. Positive
  20. −13/28
  21. −38/35
  22. 3/8
  23. Negative
  24. 81/56
  25. −4/9
  26. −5/8
  27. 41/42
  28. 2/9
  29. −43/63
  30. −6/7
  31. −8/7
  32. −2/3
  33. −17/28
  34. −19/40
  35. 4/3
  36. −2/9
  37. −2/21
  38. 4/5
  39. −4/9
  40. −1/8

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