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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 872 · 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 5/9 positive or negative? (a) Negative (b) Positive
  2. 2.Is 8/3 positive or negative? (a) Positive (b) Negative
  3. 3.What is (−5/9) + (−2/5)? (a) −43/45 (b) −7/45 (c) 43/45 (d) −1/2
  4. 4.Which is bigger: −4/9 or −1/5? (a) −1/5 (b) −4/9
  5. 5.What is 2/7 − (−4/5)? (a) 1/2 (b) 38/35 (c) −18/35 (d) −38/35
  6. 6.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) 1/8 (d) −6/48
  7. 7.What is 1/4 − (−8/9)? (a) −41/36 (b) 9/13 (c) −23/36 (d) 41/36
  8. 8.Which is smaller: −1/2 or −2/9? (a) −2/9 (b) −1/2
  9. 9.What is 1/2 − (−3/7)? (a) −13/14 (b) 4/9 (c) 13/14 (d) 1/14
  10. 10.Is 7/(−7) positive or negative? (a) Positive (b) Negative
  11. 11.Is 3/(−8) positive or negative? (a) Positive (b) Negative
  12. 12.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) 1/9 (c) −9 (d) 9
  13. 13.What is the reciprocal (multiplicative inverse) of −3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  14. 14.What is (−5/9) + (−4/7)? (a) −71/63 (b) 71/63 (c) 1/63 (d) −9/16
  15. 15.What is 1/3 + (−3/5)? (a) 14/15 (b) −4/15 (c) −1/4 (d) 4/15
  16. 16.Write −8/14 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −8/14 (c) −7/4 (d) −4/7
  17. 17.What is 5/8 − (−6/7)? (a) 11/15 (b) 83/56 (c) −13/56 (d) −83/56
  18. 18.Write −8/10 in standard form (lowest terms, positive denominator). (a) −8/10 (b) −5/4 (c) −4/5 (d) 4/5
  19. 19.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −2/3 (d) −8/12
  20. 20.What is 6/7 − (−2/3)? (a) 4/21 (b) 4/5 (c) 32/21 (d) −32/21
  21. 21.Write −10/14 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) −10/14 (d) 5/7
  22. 22.Which is bigger: −5/7 or −7/9? (a) −5/7 (b) −7/9
  23. 23.What is (−5/8) + (−5/6)? (a) 5/24 (b) 35/24 (c) −5/7 (d) −35/24
  24. 24.Which is bigger: −3/7 or −1/7? (a) −3/7 (b) −1/7
  25. 25.Is 4/(−5) positive or negative? (a) Positive (b) Negative
  26. 26.Write 24/(−42) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −24/42 (c) −7/4 (d) 4/7
  27. 27.What is (−4/7) − (−5/6)? (a) 1/13 (b) 11/42 (c) −59/42 (d) −11/42
  28. 28.What is (−1/3) + 7/9? (a) −4/9 (b) 1/2 (c) −10/9 (d) 4/9
  29. 29.What is (−2/7) − 5/7? (a) 1 (b) −1 (c) −1/2 (d) 3/7
  30. 30.What is (−1/5) + 3/5? (a) 1/5 (b) −2/5 (c) 2/5 (d) −4/5
  31. 31.Is 5/(−5) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−2/7) + (−1/5)? (a) −1/4 (b) −17/35 (c) 17/35 (d) −3/35
  33. 33.What is the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) 1/8 (c) −8 (d) 8
  34. 34.What is (−7/9) + 2/5? (a) −17/45 (b) −5/14 (c) −53/45 (d) 17/45
  35. 35.What is (−4/7) + 1/3? (a) −19/21 (b) 5/21 (c) −3/10 (d) −5/21
  36. 36.What is (−1/5) + (−1/2)? (a) −2/7 (b) −7/10 (c) 3/10 (d) 7/10
  37. 37.What is (−2/9) + 5/6? (a) −19/18 (b) 1/5 (c) 11/18 (d) −11/18
  38. 38.What is the reciprocal (multiplicative inverse) of −2/5? (a) −5/2 (b) 5/2 (c) 2/5 (d) −2/5
  39. 39.What is (−1/5) + 5/9? (a) −34/45 (b) −16/45 (c) 16/45 (d) 2/7
  40. 40.Is 2/2 positive or negative? (a) Negative (b) Positive

Answer key

  1. Positive
  2. Positive
  3. −43/45
  4. −1/5
  5. 38/35
  6. −1/8
  7. 41/36
  8. −1/2
  9. 13/14
  10. Negative
  11. Negative
  12. 9
  13. −8/3
  14. −71/63
  15. −4/15
  16. −4/7
  17. 83/56
  18. −4/5
  19. −2/3
  20. 32/21
  21. −5/7
  22. −5/7
  23. −35/24
  24. −1/7
  25. Negative
  26. −4/7
  27. 11/42
  28. 4/9
  29. −1
  30. 2/5
  31. Negative
  32. −17/35
  33. 8
  34. −17/45
  35. −5/21
  36. −7/10
  37. 11/18
  38. −5/2
  39. 16/45
  40. Positive

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