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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 791 · 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 reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) −1/4 (c) 1/4 (d) −4
  2. 2.Write 5/(−20) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −1/4 (d) −5/20
  3. 3.What is 3/4 − (−3/4)? (a) −3/2 (b) 0 (c) 3/4 (d) 3/2
  4. 4.What is 2/9 − (−5/7)? (a) 59/63 (b) 7/16 (c) −59/63 (d) −31/63
  5. 5.What is (−6/7) − (−1/7)? (a) −5/7 (b) −5/14 (c) 5/7 (d) −1
  6. 6.Which is smaller: −2/3 or −3/4? (a) −2/3 (b) −3/4
  7. 7.What is the reciprocal (multiplicative inverse) of −3/8? (a) 8/3 (b) −8/3 (c) 3/8 (d) −3/8
  8. 8.What is the additive inverse of 5/9? (a) −9/5 (b) −5/9 (c) 9/5 (d) 5/9
  9. 9.What is (−4/7) + (−2/9)? (a) −22/63 (b) −3/8 (c) 50/63 (d) −50/63
  10. 10.Which is smaller: −1/4 or −4/5? (a) −1/4 (b) −4/5
  11. 11.What is (−1/4) − (−3/4)? (a) −1/2 (b) −1 (c) 1/4 (d) 1/2
  12. 12.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −35/45 (c) −7/9 (d) 7/9
  13. 13.What is (−1/9) − (−1/4)? (a) −5/36 (b) −13/36 (c) 0 (d) 5/36
  14. 14.Write −4/10 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −4/10 (d) −2/5
  15. 15.What is the reciprocal (multiplicative inverse) of −5/6? (a) 6/5 (b) −6/5 (c) −5/6 (d) 5/6
  16. 16.Which is bigger: −1/5 or −1/4? (a) −1/4 (b) −1/5
  17. 17.Write −4/18 in standard form (lowest terms, positive denominator). (a) −2/9 (b) −4/18 (c) −9/2 (d) 2/9
  18. 18.What is (−1/9) + 1/5? (a) 0 (b) −14/45 (c) 4/45 (d) −4/45
  19. 19.What is (−5/9) − 2/5? (a) 43/45 (b) −1/2 (c) −43/45 (d) −7/45
  20. 20.Which is smaller: −4/5 or 1/8? (a) 1/8 (b) −4/5
  21. 21.Write −2/6 in standard form (lowest terms, positive denominator). (a) −2/6 (b) −1/3 (c) −3/1 (d) 1/3
  22. 22.Which is bigger: −8/9 or −1/6? (a) −8/9 (b) −1/6
  23. 23.What is 1/2 − (−6/7)? (a) −19/14 (b) 19/14 (c) 7/9 (d) −5/14
  24. 24.What is (−7/8) + (−4/5)? (a) −3/40 (b) −11/13 (c) 67/40 (d) −67/40
  25. 25.Which is bigger: −2/9 or −5/7? (a) −5/7 (b) −2/9
  26. 26.Which is bigger: −7/9 or −5/9? (a) −5/9 (b) −7/9
  27. 27.What is the additive inverse of 1/5? (a) −5 (b) 1/5 (c) −1/5 (d) 5
  28. 28.What is 1/8 + (−1/7)? (a) 15/56 (b) −1/56 (c) 1/56 (d) 0
  29. 29.Is −7/4 positive or negative? (a) Positive (b) Negative
  30. 30.What is the reciprocal (multiplicative inverse) of 2/9? (a) −2/9 (b) 2/9 (c) −9/2 (d) 9/2
  31. 31.Is 8/6 positive or negative? (a) Positive (b) Negative
  32. 32.Write −15/20 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −15/20 (c) −4/3 (d) −3/4
  33. 33.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −2/1 (b) −1/2 (c) −4/8 (d) 1/2
  34. 34.What is the additive inverse of −2/7? (a) 2/7 (b) 7/2 (c) −2/7 (d) −7/2
  35. 35.What is (−5/9) − 1/4? (a) −6/13 (b) −11/36 (c) −29/36 (d) 29/36
  36. 36.Is −5/2 positive or negative? (a) Negative (b) Positive
  37. 37.Which is smaller: −3/5 or 4/5? (a) −3/5 (b) 4/5
  38. 38.What is (−4/5) + (−1/7)? (a) −23/35 (b) −5/12 (c) 33/35 (d) −33/35
  39. 39.What is 2/5 + (−6/7)? (a) 16/35 (b) 44/35 (c) −1/3 (d) −16/35
  40. 40.Which is bigger: −1/4 or 1/2? (a) 1/2 (b) −1/4

Answer key

  1. 4
  2. −1/4
  3. 3/2
  4. 59/63
  5. −5/7
  6. −3/4
  7. −8/3
  8. −5/9
  9. −50/63
  10. −4/5
  11. 1/2
  12. −7/9
  13. 5/36
  14. −2/5
  15. −6/5
  16. −1/5
  17. −2/9
  18. 4/45
  19. −43/45
  20. −4/5
  21. −1/3
  22. −1/6
  23. 19/14
  24. −67/40
  25. −2/9
  26. −5/9
  27. −1/5
  28. −1/56
  29. Negative
  30. 9/2
  31. Positive
  32. −3/4
  33. −1/2
  34. 2/7
  35. −29/36
  36. Negative
  37. −3/5
  38. −33/35
  39. −16/35
  40. 1/2

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