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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 503 · 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 additive inverse of −5/6? (a) −5/6 (b) 6/5 (c) −6/5 (d) 5/6
  2. 2.What is (−5/8) − 5/7? (a) −2/3 (b) 5/56 (c) −75/56 (d) 75/56
  3. 3.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  4. 4.What is (−1/9) + (−7/9)? (a) −4/9 (b) 8/9 (c) −8/9 (d) 2/3
  5. 5.Is −7/(−7) positive or negative? (a) Positive (b) Negative
  6. 6.Which is bigger: −1/3 or −1/4? (a) −1/3 (b) −1/4
  7. 7.What is 1/6 − (−5/8)? (a) −19/24 (b) 3/7 (c) −11/24 (d) 19/24
  8. 8.What is (−4/9) + 5/9? (a) −1/9 (b) 1/18 (c) −1 (d) 1/9
  9. 9.What is 1/9 + (−4/7)? (a) −3/16 (b) 43/63 (c) −29/63 (d) 29/63
  10. 10.What is (−2/5) − 1/3? (a) −3/8 (b) −1/15 (c) 11/15 (d) −11/15
  11. 11.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −3/6 (c) −2/1 (d) −1/2
  12. 12.Which is bigger: −5/9 or 6/7? (a) 6/7 (b) −5/9
  13. 13.What is 7/8 + (−7/8)? (a) 0 (b) 7/4
  14. 14.Which is smaller: −2/5 or −1/4? (a) −1/4 (b) −2/5
  15. 15.Which is bigger: −4/5 or −5/8? (a) −4/5 (b) −5/8
  16. 16.What is the additive inverse of −1/2? (a) 2 (b) 1/2 (c) −1/2 (d) −2
  17. 17.Write −2/8 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −2/8 (c) −1/4 (d) −4/1
  18. 18.What is 5/9 + (−5/7)? (a) −10/63 (b) 10/63 (c) 80/63 (d) 0
  19. 19.What is (−1/9) − 5/9? (a) 2/3 (b) 4/9 (c) −1/3 (d) −2/3
  20. 20.What is (−6/7) + 3/4? (a) 3/28 (b) −3/28 (c) −3/11 (d) −45/28
  21. 21.Which is bigger: −7/9 or −1/2? (a) −7/9 (b) −1/2
  22. 22.Write −6/16 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −3/8 (c) −6/16 (d) 3/8
  23. 23.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) −30/35 (d) 6/7
  24. 24.What is (−4/7) − (−2/5)? (a) −34/35 (b) −1/6 (c) 6/35 (d) −6/35
  25. 25.Is 6/(−3) positive or negative? (a) Positive (b) Negative
  26. 26.Write −18/24 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) 3/4 (d) −18/24
  27. 27.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) 9/8 (c) 8/9 (d) −8/9
  28. 28.What is (−7/9) − 1/4? (a) −19/36 (b) −8/13 (c) 37/36 (d) −37/36
  29. 29.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −3/9 (c) 1/3 (d) −1/3
  30. 30.What is 5/8 + (−8/9)? (a) −19/72 (b) −3/17 (c) 109/72 (d) 19/72
  31. 31.What is (−3/7) + 3/4? (a) 0 (b) −33/28 (c) −9/28 (d) 9/28
  32. 32.Which is bigger: −2/5 or −1/5? (a) −2/5 (b) −1/5
  33. 33.Which is bigger: −2/5 or −1/2? (a) −1/2 (b) −2/5
  34. 34.What is the additive inverse of −3/4? (a) −3/4 (b) 3/4 (c) −4/3 (d) 4/3
  35. 35.Which is smaller: −3/5 or 1/5? (a) −3/5 (b) 1/5
  36. 36.Is −4/4 positive or negative? (a) Positive (b) Negative
  37. 37.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) 7/5 (c) −5/7 (d) −7/5
  38. 38.What is the additive inverse of −4/7? (a) −4/7 (b) 4/7 (c) −7/4 (d) 7/4
  39. 39.Is 5/2 positive or negative? (a) Negative (b) Positive
  40. 40.Which is smaller: −7/8 or −7/9? (a) −7/8 (b) −7/9

Answer key

  1. 5/6
  2. −75/56
  3. 7/2
  4. −8/9
  5. Positive
  6. −1/4
  7. 19/24
  8. 1/9
  9. −29/63
  10. −11/15
  11. −1/2
  12. 6/7
  13. 0
  14. −2/5
  15. −5/8
  16. 1/2
  17. −1/4
  18. −10/63
  19. −2/3
  20. −3/28
  21. −1/2
  22. −3/8
  23. −6/7
  24. −6/35
  25. Negative
  26. −3/4
  27. 9/8
  28. −37/36
  29. −1/3
  30. −19/72
  31. 9/28
  32. −1/5
  33. −2/5
  34. 3/4
  35. −3/5
  36. Negative
  37. −7/5
  38. 4/7
  39. Positive
  40. −7/8

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