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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 747 · 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.Which is bigger: −1/3 or −2/5? (a) −1/3 (b) −2/5
  2. 2.What is 1/3 + (−6/7)? (a) −1/2 (b) 11/21 (c) −11/21 (d) 25/21
  3. 3.What is the additive inverse of 2/5? (a) 2/5 (b) −5/2 (c) −2/5 (d) 5/2
  4. 4.Which is bigger: −7/9 or −1/7? (a) −1/7 (b) −7/9
  5. 5.Is 3/7 positive or negative? (a) Negative (b) Positive
  6. 6.What is the additive inverse of −3/8? (a) −3/8 (b) 3/8 (c) −8/3 (d) 8/3
  7. 7.Which is bigger: −1/7 or −1/4? (a) −1/4 (b) −1/7
  8. 8.Write −5/45 in standard form (lowest terms, positive denominator). (a) −5/45 (b) −1/9 (c) −9/1 (d) 1/9
  9. 9.What is (−4/9) + 3/7? (a) −55/63 (b) −1/63 (c) −1/16 (d) 1/63
  10. 10.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) 4/5 (d) −12/15
  11. 11.Write −40/45 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −40/45 (c) 8/9 (d) −8/9
  12. 12.What is 3/4 − (−1/7)? (a) −25/28 (b) 17/28 (c) 25/28 (d) 4/11
  13. 13.Is 4/5 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−1/2) + 7/8? (a) 3/8 (b) −11/8 (c) −3/8 (d) 3/5
  15. 15.Is 3/9 positive or negative? (a) Positive (b) Negative
  16. 16.What is (−2/7) + 1/6? (a) 5/42 (b) −1/13 (c) −19/42 (d) −5/42
  17. 17.Write −5/35 in standard form (lowest terms, positive denominator). (a) −5/35 (b) 1/7 (c) −7/1 (d) −1/7
  18. 18.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  19. 19.Which is smaller: −1/3 or 4/7? (a) −1/3 (b) 4/7
  20. 20.What is (−3/7) + 1/5? (a) 8/35 (b) −22/35 (c) −8/35 (d) −1/6
  21. 21.Write −6/54 in standard form (lowest terms, positive denominator). (a) −6/54 (b) −1/9 (c) 1/9 (d) −9/1
  22. 22.What is the additive inverse of −4/9? (a) 4/9 (b) −9/4 (c) −4/9 (d) 9/4
  23. 23.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) −4 (c) 4 (d) 1/4
  24. 24.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −1/9 (b) −9/1 (c) 1/9 (d) −3/27
  25. 25.Is −7/(−8) positive or negative? (a) Negative (b) Positive
  26. 26.What is 2/9 + (−2/5)? (a) −8/45 (b) 8/45 (c) 28/45 (d) 0
  27. 27.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −2/7 (c) −8/28 (d) −7/2
  28. 28.What is the additive inverse of −7/8? (a) −8/7 (b) 8/7 (c) 7/8 (d) −7/8
  29. 29.What is the additive inverse of 1/8? (a) −1/8 (b) 8 (c) −8 (d) 1/8
  30. 30.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −2/1 (b) −1/2 (c) 1/2 (d) −4/8
  31. 31.What is (−5/8) + (−3/8)? (a) 1 (b) −1/4 (c) −1 (d) −1/2
  32. 32.Write −12/21 in standard form (lowest terms, positive denominator). (a) −4/7 (b) 4/7 (c) −12/21 (d) −7/4
  33. 33.What is (−7/9) − 7/9? (a) −7/9 (b) −14/9 (c) 14/9 (d) 0
  34. 34.Which is smaller: −2/9 or −2/3? (a) −2/3 (b) −2/9
  35. 35.Is 2/(−4) positive or negative? (a) Positive (b) Negative
  36. 36.What is the additive inverse of 2/7? (a) 2/7 (b) −7/2 (c) 7/2 (d) −2/7
  37. 37.What is the additive inverse of 5/8? (a) −8/5 (b) 8/5 (c) 5/8 (d) −5/8
  38. 38.Write −42/54 in standard form (lowest terms, positive denominator). (a) −42/54 (b) −7/9 (c) −9/7 (d) 7/9
  39. 39.What is (−1/9) + (−6/7)? (a) −7/16 (b) 47/63 (c) 61/63 (d) −61/63
  40. 40.Is 6/3 positive or negative? (a) Negative (b) Positive

Answer key

  1. −1/3
  2. −11/21
  3. −2/5
  4. −1/7
  5. Positive
  6. 3/8
  7. −1/7
  8. −1/9
  9. −1/63
  10. −4/5
  11. −8/9
  12. 25/28
  13. Positive
  14. 3/8
  15. Positive
  16. −5/42
  17. −1/7
  18. Negative
  19. −1/3
  20. −8/35
  21. −1/9
  22. 4/9
  23. 4
  24. −1/9
  25. Positive
  26. −8/45
  27. −2/7
  28. 7/8
  29. −1/8
  30. −1/2
  31. −1
  32. −4/7
  33. −14/9
  34. −2/3
  35. Negative
  36. −2/7
  37. −5/8
  38. −7/9
  39. −61/63
  40. Positive

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