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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 772 · 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.Write −5/10 in standard form (lowest terms, positive denominator). (a) −1/2 (b) 1/2 (c) −5/10 (d) −2/1
  2. 2.What is (−7/8) + 7/8? (a) −7/4 (b) 0
  3. 3.What is (−3/4) − (−4/7)? (a) −37/28 (b) 1/11 (c) 5/28 (d) −5/28
  4. 4.Write −6/54 in standard form (lowest terms, positive denominator). (a) −1/9 (b) −6/54 (c) 1/9 (d) −9/1
  5. 5.Which is bigger: −3/7 or −7/9? (a) −7/9 (b) −3/7
  6. 6.Is −9/3 positive or negative? (a) Negative (b) Positive
  7. 7.Is −2/(−8) positive or negative? (a) Positive (b) Negative
  8. 8.Which is bigger: −3/8 or −3/4? (a) −3/8 (b) −3/4
  9. 9.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 3/2 (c) 2/3 (d) −3/2
  10. 10.Is −3/(−4) positive or negative? (a) Negative (b) Positive
  11. 11.What is (−1/8) + 1/2? (a) −5/8 (b) 3/8 (c) 0 (d) −3/8
  12. 12.Is 7/(−9) positive or negative? (a) Positive (b) Negative
  13. 13.Is −8/(−5) positive or negative? (a) Negative (b) Positive
  14. 14.Which is bigger: −3/4 or 2/5? (a) −3/4 (b) 2/5
  15. 15.Is −1/(−6) positive or negative? (a) Negative (b) Positive
  16. 16.Is 2/(−3) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−1/3) + (−5/6)? (a) −7/6 (b) −2/3 (c) 1/2 (d) 7/6
  18. 18.Which is bigger: −1/5 or 2/7? (a) −1/5 (b) 2/7
  19. 19.Is 2/9 positive or negative? (a) Negative (b) Positive
  20. 20.What is the additive inverse of 1/3? (a) −3 (b) 3 (c) 1/3 (d) −1/3
  21. 21.What is the reciprocal (multiplicative inverse) of −3/8? (a) 3/8 (b) −8/3 (c) −3/8 (d) 8/3
  22. 22.What is (−5/8) + 4/7? (a) −1/15 (b) −67/56 (c) −3/56 (d) 3/56
  23. 23.Is 6/(−2) positive or negative? (a) Negative (b) Positive
  24. 24.What is (−8/9) + 2/3? (a) −14/9 (b) 2/9 (c) −2/9 (d) −1/2
  25. 25.What is (−4/5) + (−2/7)? (a) −38/35 (b) −18/35 (c) 38/35 (d) −1/2
  26. 26.Is 1/(−8) positive or negative? (a) Negative (b) Positive
  27. 27.Which is smaller: −1/9 or −2/7? (a) −2/7 (b) −1/9
  28. 28.What is (−1/7) + (−1/2)? (a) 9/14 (b) −2/9 (c) −9/14 (d) 5/14
  29. 29.What is (−3/7) − (−6/7)? (a) −9/7 (b) −3/7 (c) 3/14 (d) 3/7
  30. 30.Is −2/4 positive or negative? (a) Positive (b) Negative
  31. 31.What is the reciprocal (multiplicative inverse) of −1/7? (a) −7 (b) 7 (c) 1/7 (d) −1/7
  32. 32.Which is smaller: −8/9 or 5/7? (a) −8/9 (b) 5/7
  33. 33.Write −16/28 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −16/28 (c) −7/4 (d) −4/7
  34. 34.Which is smaller: −3/7 or −6/7? (a) −3/7 (b) −6/7
  35. 35.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −15/35 (c) 3/7 (d) −3/7
  36. 36.Is 2/4 positive or negative? (a) Positive (b) Negative
  37. 37.What is (−1/9) + (−4/5)? (a) 31/45 (b) −5/14 (c) 41/45 (d) −41/45
  38. 38.Is 5/(−7) positive or negative? (a) Negative (b) Positive
  39. 39.What is (−6/7) + (−1/4)? (a) 31/28 (b) −7/11 (c) −17/28 (d) −31/28
  40. 40.Which is smaller: −2/7 or −1/3? (a) −1/3 (b) −2/7

Answer key

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

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