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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 445 · 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 −9/(−8) positive or negative? (a) Negative (b) Positive
  2. 2.What is 5/8 + (−1/3)? (a) 7/24 (b) 4/11 (c) −7/24 (d) 23/24
  3. 3.What is (−1/4) + (−3/8)? (a) 1/8 (b) −5/8 (c) −1/3 (d) 5/8
  4. 4.Is −7/(−5) positive or negative? (a) Negative (b) Positive
  5. 5.Which is smaller: −5/8 or 1/6? (a) 1/6 (b) −5/8
  6. 6.Which is bigger: −1/3 or −1/6? (a) −1/6 (b) −1/3
  7. 7.What is (−1/7) + 5/9? (a) −26/63 (b) −44/63 (c) 1/4 (d) 26/63
  8. 8.What is (−2/5) − 4/9? (a) −3/7 (b) 38/45 (c) −38/45 (d) 2/45
  9. 9.Is 2/8 positive or negative? (a) Negative (b) Positive
  10. 10.What is (−3/5) + 2/5? (a) 1/5 (b) −1/10 (c) −1 (d) −1/5
  11. 11.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) 3/2 (c) −3/2 (d) 2/3
  12. 12.Which is smaller: −4/7 or 3/7? (a) 3/7 (b) −4/7
  13. 13.What is (−6/7) − (−5/8)? (a) −83/56 (b) −13/56 (c) −1/15 (d) 13/56
  14. 14.What is the reciprocal (multiplicative inverse) of 5/7? (a) 7/5 (b) −7/5 (c) 5/7 (d) −5/7
  15. 15.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −3/18 (c) 1/6 (d) −1/6
  16. 16.What is (−4/7) + 4/9? (a) −64/63 (b) 8/63 (c) 0 (d) −8/63
  17. 17.What is (−3/8) − 3/4? (a) 3/8 (b) 9/8 (c) −1/2 (d) −9/8
  18. 18.What is (−3/4) − (−1/3)? (a) 5/12 (b) −5/12 (c) −2/7 (d) −13/12
  19. 19.Which is bigger: −3/5 or 5/7? (a) −3/5 (b) 5/7
  20. 20.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −2/6 (d) −3/1
  21. 21.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) −9/4 (c) −4/9 (d) 4/9
  22. 22.Which is bigger: −3/5 or −3/8? (a) −3/8 (b) −3/5
  23. 23.Is −3/(−3) positive or negative? (a) Negative (b) Positive
  24. 24.What is (−5/6) − (−1/2)? (a) −4/3 (b) 1/3 (c) −1/3 (d) −1/2
  25. 25.Is −1/(−7) positive or negative? (a) Positive (b) Negative
  26. 26.What is 3/4 + (−5/7)? (a) 41/28 (b) 1/28 (c) −2/11 (d) −1/28
  27. 27.What is (−2/5) + 4/5? (a) −2/5 (b) 2/5 (c) −6/5 (d) 1/5
  28. 28.Which is smaller: −1/8 or −5/7? (a) −5/7 (b) −1/8
  29. 29.Which is smaller: −3/8 or −5/6? (a) −5/6 (b) −3/8
  30. 30.What is the additive inverse of 3/8? (a) 8/3 (b) −3/8 (c) 3/8 (d) −8/3
  31. 31.Which is smaller: −1/9 or −1/6? (a) −1/9 (b) −1/6
  32. 32.What is 5/9 + (−2/9)? (a) 7/9 (b) −1/3 (c) 1/3 (d) 1/6
  33. 33.Which is smaller: −3/4 or 1/3? (a) 1/3 (b) −3/4
  34. 34.Which is bigger: −1/2 or −1/4? (a) −1/2 (b) −1/4
  35. 35.What is 1/4 − (−4/5)? (a) −11/20 (b) 5/9 (c) 21/20 (d) −21/20
  36. 36.What is (−1/7) + (−5/6)? (a) 29/42 (b) 41/42 (c) −41/42 (d) −6/13
  37. 37.What is (−5/6) + 7/8? (a) −41/24 (b) −1/24 (c) 1/24 (d) 1/7
  38. 38.What is (−4/5) + 1/9? (a) 31/45 (b) −41/45 (c) −31/45 (d) −3/14
  39. 39.Which is bigger: −1/2 or −3/4? (a) −3/4 (b) −1/2
  40. 40.Which is bigger: −1/5 or −7/9? (a) −7/9 (b) −1/5

Answer key

  1. Positive
  2. 7/24
  3. −5/8
  4. Positive
  5. −5/8
  6. −1/6
  7. 26/63
  8. −38/45
  9. Positive
  10. −1/5
  11. −3/2
  12. −4/7
  13. −13/56
  14. 7/5
  15. −1/6
  16. −8/63
  17. −9/8
  18. −5/12
  19. 5/7
  20. −1/3
  21. −9/4
  22. −3/8
  23. Positive
  24. −1/3
  25. Positive
  26. 1/28
  27. 2/5
  28. −5/7
  29. −5/6
  30. −3/8
  31. −1/6
  32. 1/3
  33. −3/4
  34. −1/4
  35. 21/20
  36. −41/42
  37. 1/24
  38. −31/45
  39. −1/2
  40. −1/5

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