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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 494 · 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 2/7? (a) 2/7 (b) 7/2 (c) −2/7 (d) −7/2
  2. 2.What is (−5/9) − 2/7? (a) −17/63 (b) −7/16 (c) −53/63 (d) 53/63
  3. 3.Which is smaller: −5/6 or 4/5? (a) 4/5 (b) −5/6
  4. 4.Is 2/2 positive or negative? (a) Negative (b) Positive
  5. 5.Is −2/3 positive or negative? (a) Negative (b) Positive
  6. 6.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −4/18 (b) −9/2 (c) −2/9 (d) 2/9
  7. 7.Write −9/15 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −9/15 (c) −3/5 (d) 3/5
  8. 8.What is the reciprocal (multiplicative inverse) of −1/4? (a) −4 (b) −1/4 (c) 1/4 (d) 4
  9. 9.What is the additive inverse of −1/7? (a) −1/7 (b) 7 (c) 1/7 (d) −7
  10. 10.Write −2/6 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) 1/3 (d) −2/6
  11. 11.Is 4/(−3) positive or negative? (a) Positive (b) Negative
  12. 12.Which is smaller: −1/2 or −5/6? (a) −5/6 (b) −1/2
  13. 13.Which is smaller: −3/5 or 5/8? (a) −3/5 (b) 5/8
  14. 14.Is 2/(−9) positive or negative? (a) Positive (b) Negative
  15. 15.Is −5/2 positive or negative? (a) Positive (b) Negative
  16. 16.What is 8/9 + (−2/5)? (a) 3/7 (b) −22/45 (c) 58/45 (d) 22/45
  17. 17.What is (−4/7) + 2/5? (a) 6/35 (b) −1/6 (c) −34/35 (d) −6/35
  18. 18.What is (−1/6) + 1/8? (a) 1/24 (b) 0 (c) −7/24 (d) −1/24
  19. 19.What is 1/3 + (−4/9)? (a) 1/9 (b) 7/9 (c) −1/4 (d) −1/9
  20. 20.What is (−4/9) − (−4/7)? (a) −8/63 (b) 0 (c) −64/63 (d) 8/63
  21. 21.Which is bigger: −6/7 or −5/8? (a) −6/7 (b) −5/8
  22. 22.What is (−1/3) + (−3/5)? (a) 4/15 (b) 14/15 (c) −1/2 (d) −14/15
  23. 23.What is (−3/8) − 2/9? (a) −5/17 (b) −11/72 (c) 43/72 (d) −43/72
  24. 24.What is (−5/7) + (−8/9)? (a) −13/16 (b) −101/63 (c) 11/63 (d) 101/63
  25. 25.What is the additive inverse of 4/9? (a) 9/4 (b) −4/9 (c) 4/9 (d) −9/4
  26. 26.What is 2/3 + (−1/4)? (a) 11/12 (b) 1/7 (c) 5/12 (d) −5/12
  27. 27.What is the additive inverse of −5/6? (a) 6/5 (b) −6/5 (c) 5/6 (d) −5/6
  28. 28.Write −18/30 in standard form (lowest terms, positive denominator). (a) −18/30 (b) −3/5 (c) −5/3 (d) 3/5
  29. 29.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) −9/5 (c) −5/9 (d) 5/9
  30. 30.Which is smaller: −2/7 or 8/9? (a) 8/9 (b) −2/7
  31. 31.Is −6/3 positive or negative? (a) Positive (b) Negative
  32. 32.Which is smaller: −7/8 or −1/3? (a) −1/3 (b) −7/8
  33. 33.Which is smaller: −1/8 or −6/7? (a) −1/8 (b) −6/7
  34. 34.What is the additive inverse of −3/5? (a) −5/3 (b) 5/3 (c) 3/5 (d) −3/5
  35. 35.What is (−1/7) − (−2/9)? (a) 1/16 (b) −23/63 (c) 5/63 (d) −5/63
  36. 36.Which is smaller: −1/6 or −3/5? (a) −1/6 (b) −3/5
  37. 37.Which is bigger: −7/8 or 1/8? (a) −7/8 (b) 1/8
  38. 38.Write −24/27 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −24/27 (c) 8/9 (d) −8/9
  39. 39.What is 2/9 − (−4/7)? (a) −50/63 (b) −22/63 (c) 50/63 (d) 3/8
  40. 40.What is 3/4 + (−3/8)? (a) −3/8 (b) 3/8 (c) 9/8 (d) 0

Answer key

  1. 7/2
  2. −53/63
  3. −5/6
  4. Positive
  5. Negative
  6. −2/9
  7. −3/5
  8. −4
  9. 1/7
  10. −1/3
  11. Negative
  12. −5/6
  13. −3/5
  14. Negative
  15. Negative
  16. 22/45
  17. −6/35
  18. −1/24
  19. −1/9
  20. 8/63
  21. −5/8
  22. −14/15
  23. −43/72
  24. −101/63
  25. −4/9
  26. 5/12
  27. 5/6
  28. −3/5
  29. 9/5
  30. −2/7
  31. Negative
  32. −7/8
  33. −6/7
  34. 3/5
  35. 5/63
  36. −3/5
  37. 1/8
  38. −8/9
  39. 50/63
  40. 3/8

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