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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 770 · 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 −1/8? (a) −1/8 (b) 8 (c) −8 (d) 1/8
  2. 2.Which is smaller: −1/9 or −2/3? (a) −2/3 (b) −1/9
  3. 3.Which is bigger: −5/8 or 4/5? (a) −5/8 (b) 4/5
  4. 4.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −15/21 (b) −7/5 (c) 5/7 (d) −5/7
  5. 5.What is 3/4 − (−1/2)? (a) −5/4 (b) 1/4 (c) 5/4 (d) 2/3
  6. 6.Is −3/8 positive or negative? (a) Positive (b) Negative
  7. 7.Which is smaller: −2/3 or −1/3? (a) −1/3 (b) −2/3
  8. 8.What is 5/8 − (−2/3)? (a) −31/24 (b) 7/11 (c) −1/24 (d) 31/24
  9. 9.What is the additive inverse of 3/4? (a) 4/3 (b) −3/4 (c) −4/3 (d) 3/4
  10. 10.What is (−2/9) + 5/7? (a) −31/63 (b) −59/63 (c) 3/16 (d) 31/63
  11. 11.Is 4/5 positive or negative? (a) Negative (b) Positive
  12. 12.Which is bigger: −2/9 or −2/7? (a) −2/7 (b) −2/9
  13. 13.What is the additive inverse of −4/9? (a) 4/9 (b) −4/9 (c) −9/4 (d) 9/4
  14. 14.What is the reciprocal (multiplicative inverse) of −5/8? (a) −8/5 (b) 5/8 (c) 8/5 (d) −5/8
  15. 15.Is 6/5 positive or negative? (a) Negative (b) Positive
  16. 16.What is (−1/4) − (−1/8)? (a) 1/8 (b) −3/8 (c) −1/8 (d) 0
  17. 17.What is (−1/5) + 1/2? (a) 0 (b) −7/10 (c) 3/10 (d) −3/10
  18. 18.Write −12/14 in standard form (lowest terms, positive denominator). (a) −12/14 (b) 6/7 (c) −6/7 (d) −7/6
  19. 19.What is (−1/9) + 1/7? (a) −2/63 (b) 2/63 (c) −16/63 (d) 0
  20. 20.What is 2/7 + (−3/8)? (a) 5/56 (b) −1/15 (c) 37/56 (d) −5/56
  21. 21.Which is bigger: −2/9 or −2/5? (a) −2/9 (b) −2/5
  22. 22.Which is smaller: −1/5 or −2/3? (a) −1/5 (b) −2/3
  23. 23.What is (−1/3) + 2/3? (a) 1/3 (b) −1 (c) −1/3 (d) 1/6
  24. 24.What is (−2/9) + 1/4? (a) −17/36 (b) −1/36 (c) 1/36 (d) −1/13
  25. 25.What is (−1/9) − 5/7? (a) −3/8 (b) −52/63 (c) 52/63 (d) 38/63
  26. 26.What is the additive inverse of 4/5? (a) −4/5 (b) 5/4 (c) −5/4 (d) 4/5
  27. 27.What is (−2/7) + (−2/7)? (a) −4/7 (b) 0 (c) −2/7 (d) 4/7
  28. 28.What is (−3/4) + 1/3? (a) −13/12 (b) −5/12 (c) −2/7 (d) 5/12
  29. 29.What is the additive inverse of 1/4? (a) 4 (b) −4 (c) −1/4 (d) 1/4
  30. 30.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) 7/8 (c) 8/7 (d) −7/8
  31. 31.What is (−1/4) + (−3/8)? (a) 5/8 (b) −1/3 (c) −5/8 (d) 1/8
  32. 32.What is (−2/5) + (−5/6)? (a) −37/30 (b) 13/30 (c) 37/30 (d) −7/11
  33. 33.Which is smaller: −8/9 or −3/7? (a) −3/7 (b) −8/9
  34. 34.What is 2/5 − (−5/7)? (a) −11/35 (b) 39/35 (c) −39/35 (d) 7/12
  35. 35.What is 4/7 + (−3/5)? (a) −1/35 (b) 1/35 (c) 41/35 (d) 1/12
  36. 36.Is 2/8 positive or negative? (a) Negative (b) Positive
  37. 37.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) −2/5 (c) 2/5 (d) 5/2
  38. 38.What is 3/8 + (−2/3)? (a) 1/11 (b) 7/24 (c) 25/24 (d) −7/24
  39. 39.What is the additive inverse of 2/3? (a) 3/2 (b) −2/3 (c) −3/2 (d) 2/3
  40. 40.Which is bigger: −1/4 or −4/7? (a) −1/4 (b) −4/7

Answer key

  1. 1/8
  2. −2/3
  3. 4/5
  4. −5/7
  5. 5/4
  6. Negative
  7. −2/3
  8. 31/24
  9. −3/4
  10. 31/63
  11. Positive
  12. −2/9
  13. 4/9
  14. −8/5
  15. Positive
  16. −1/8
  17. 3/10
  18. −6/7
  19. 2/63
  20. −5/56
  21. −2/9
  22. −2/3
  23. 1/3
  24. 1/36
  25. −52/63
  26. −4/5
  27. −4/7
  28. −5/12
  29. −1/4
  30. 8/7
  31. −5/8
  32. −37/30
  33. −8/9
  34. 39/35
  35. −1/35
  36. Positive
  37. 5/2
  38. −7/24
  39. −2/3
  40. −1/4

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