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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 147 · 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 3/5 − (−1/2)? (a) 1/10 (b) 4/7 (c) −11/10 (d) 11/10
  2. 2.What is 1/5 + (−1/2)? (a) 3/10 (b) 0 (c) 7/10 (d) −3/10
  3. 3.Is −9/2 positive or negative? (a) Positive (b) Negative
  4. 4.What is (−1/8) + 1/4? (a) 0 (b) −1/8 (c) 1/8 (d) −3/8
  5. 5.Which is smaller: −7/8 or −4/9? (a) −7/8 (b) −4/9
  6. 6.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) −1/3 (c) 3 (d) −3
  7. 7.Is −5/(−2) positive or negative? (a) Negative (b) Positive
  8. 8.Is 3/8 positive or negative? (a) Negative (b) Positive
  9. 9.What is 2/5 − (−3/8)? (a) 31/40 (b) 5/13 (c) −31/40 (d) 1/40
  10. 10.Write −10/18 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −10/18 (c) −5/9 (d) 5/9
  11. 11.What is the additive inverse of 1/7? (a) 1/7 (b) 7 (c) −1/7 (d) −7
  12. 12.What is (−5/9) − 4/7? (a) −9/16 (b) 71/63 (c) 1/63 (d) −71/63
  13. 13.What is (−6/7) − (−5/7)? (a) −1/14 (b) 1/7 (c) −1/7 (d) −11/7
  14. 14.What is (−2/3) − (−3/7)? (a) 1/10 (b) 5/21 (c) −23/21 (d) −5/21
  15. 15.Is 8/7 positive or negative? (a) Positive (b) Negative
  16. 16.Which is smaller: −8/9 or −1/3? (a) −8/9 (b) −1/3
  17. 17.Which is bigger: −3/8 or −2/3? (a) −3/8 (b) −2/3
  18. 18.What is the reciprocal (multiplicative inverse) of −1/8? (a) 1/8 (b) −1/8 (c) −8 (d) 8
  19. 19.What is 1/4 + (−2/7)? (a) 1/28 (b) 15/28 (c) −1/11 (d) −1/28
  20. 20.What is 3/4 + (−2/5)? (a) 23/20 (b) 1/9 (c) 7/20 (d) −7/20
  21. 21.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −14/18 (b) 7/9 (c) −9/7 (d) −7/9
  22. 22.Write −12/27 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) −12/27 (d) 4/9
  23. 23.Write −2/12 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −2/12 (c) −1/6 (d) −6/1
  24. 24.What is (−5/7) + 1/6? (a) −4/13 (b) −37/42 (c) 23/42 (d) −23/42
  25. 25.What is 2/3 − (−1/4)? (a) 11/12 (b) −11/12 (c) 3/7 (d) 5/12
  26. 26.Which is smaller: −5/7 or 5/6? (a) −5/7 (b) 5/6
  27. 27.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) −5/4 (c) 4/5 (d) 5/4
  28. 28.Which is bigger: −5/7 or −3/4? (a) −3/4 (b) −5/7
  29. 29.Is 8/2 positive or negative? (a) Positive (b) Negative
  30. 30.What is (−1/7) + 5/9? (a) −26/63 (b) 1/4 (c) −44/63 (d) 26/63
  31. 31.Is 1/9 positive or negative? (a) Positive (b) Negative
  32. 32.What is (−3/4) + 3/7? (a) −33/28 (b) 0 (c) −9/28 (d) 9/28
  33. 33.What is (−3/4) − 5/7? (a) −1/28 (b) −8/11 (c) −41/28 (d) 41/28
  34. 34.What is 1/4 − (−1/8)? (a) 1/8 (b) −3/8 (c) 3/8 (d) 1/6
  35. 35.Is 9/(−5) positive or negative? (a) Positive (b) Negative
  36. 36.What is (−4/9) − 1/9? (a) 5/9 (b) −1/3 (c) −5/18 (d) −5/9
  37. 37.What is (−7/8) + 1/4? (a) −1/2 (b) −5/8 (c) −9/8 (d) 5/8
  38. 38.Which is bigger: −1/9 or 5/9? (a) −1/9 (b) 5/9
  39. 39.What is 1/8 + (−4/7)? (a) −25/56 (b) 25/56 (c) −1/5 (d) 39/56
  40. 40.What is the additive inverse of 2/7? (a) −2/7 (b) 2/7 (c) −7/2 (d) 7/2

Answer key

  1. 11/10
  2. −3/10
  3. Negative
  4. 1/8
  5. −7/8
  6. −3
  7. Positive
  8. Positive
  9. 31/40
  10. −5/9
  11. −1/7
  12. −71/63
  13. −1/7
  14. −5/21
  15. Positive
  16. −8/9
  17. −3/8
  18. −8
  19. −1/28
  20. 7/20
  21. −7/9
  22. −4/9
  23. −1/6
  24. −23/42
  25. 11/12
  26. −5/7
  27. 5/4
  28. −5/7
  29. Positive
  30. 26/63
  31. Positive
  32. −9/28
  33. −41/28
  34. 3/8
  35. Negative
  36. −5/9
  37. −5/8
  38. 5/9
  39. −25/56
  40. −2/7

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