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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 776 · 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.Is −9/(−6) positive or negative? (a) Negative (b) Positive
  2. 2.What is (−1/8) + 1/5? (a) 3/40 (b) −3/40 (c) 0 (d) −13/40
  3. 3.Which is bigger: −8/9 or −3/5? (a) −8/9 (b) −3/5
  4. 4.What is (−8/9) − 1/6? (a) −13/18 (b) 19/18 (c) −19/18 (d) −3/5
  5. 5.What is the reciprocal (multiplicative inverse) of −6/7? (a) 7/6 (b) 6/7 (c) −7/6 (d) −6/7
  6. 6.What is (−1/9) − 2/5? (a) 23/45 (b) −23/45 (c) 13/45 (d) −3/14
  7. 7.Which is bigger: −5/7 or −2/3? (a) −2/3 (b) −5/7
  8. 8.What is 4/5 + (−5/9)? (a) −1/14 (b) 61/45 (c) 11/45 (d) −11/45
  9. 9.Which is bigger: −5/8 or 2/3? (a) −5/8 (b) 2/3
  10. 10.What is (−7/9) + 3/8? (a) 29/72 (b) −29/72 (c) −4/17 (d) −83/72
  11. 11.Which is smaller: −5/9 or −5/6? (a) −5/6 (b) −5/9
  12. 12.Is −6/5 positive or negative? (a) Negative (b) Positive
  13. 13.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −3/18 (d) −1/6
  14. 14.What is (−5/7) + (−3/5)? (a) 46/35 (b) −4/35 (c) −46/35 (d) −2/3
  15. 15.Write −2/14 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −1/7 (d) −2/14
  16. 16.What is 5/6 + (−2/5)? (a) 37/30 (b) 13/30 (c) 3/11 (d) −13/30
  17. 17.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) 2 (c) 1/2 (d) −2
  18. 18.Which is smaller: −7/8 or −3/7? (a) −3/7 (b) −7/8
  19. 19.Write −24/30 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −24/30 (c) −4/5 (d) 4/5
  20. 20.Is −4/(−8) positive or negative? (a) Positive (b) Negative
  21. 21.Is 3/(−9) positive or negative? (a) Positive (b) Negative
  22. 22.What is (−2/5) + (−1/4)? (a) −1/3 (b) 13/20 (c) −3/20 (d) −13/20
  23. 23.What is (−2/9) + (−3/7)? (a) 13/63 (b) −5/16 (c) 41/63 (d) −41/63
  24. 24.What is the additive inverse of 1/4? (a) −4 (b) −1/4 (c) 4 (d) 1/4
  25. 25.What is 3/7 + (−1/8)? (a) 2/15 (b) −17/56 (c) 31/56 (d) 17/56
  26. 26.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −12/27 (c) −4/9 (d) 4/9
  27. 27.Which is smaller: −2/7 or 5/8? (a) 5/8 (b) −2/7
  28. 28.What is 5/8 + (−2/7)? (a) −19/56 (b) 1/5 (c) 51/56 (d) 19/56
  29. 29.Write −5/25 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/25 (c) 1/5 (d) −5/1
  30. 30.Write −12/15 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −12/15 (c) −4/5 (d) 4/5
  31. 31.Which is bigger: −2/5 or −4/5? (a) −4/5 (b) −2/5
  32. 32.Which is bigger: −5/6 or −2/9? (a) −2/9 (b) −5/6
  33. 33.Which is bigger: −1/8 or −1/4? (a) −1/4 (b) −1/8
  34. 34.What is 5/8 − (−1/5)? (a) 33/40 (b) −33/40 (c) 6/13 (d) 17/40
  35. 35.Is −6/8 positive or negative? (a) Negative (b) Positive
  36. 36.Write −20/28 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −20/28
  37. 37.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −18/48 (b) −3/8 (c) −8/3 (d) 3/8
  38. 38.Is −3/8 positive or negative? (a) Positive (b) Negative
  39. 39.Which is bigger: −2/5 or −2/7? (a) −2/5 (b) −2/7
  40. 40.Which is bigger: −1/5 or −4/5? (a) −4/5 (b) −1/5

Answer key

  1. Positive
  2. 3/40
  3. −3/5
  4. −19/18
  5. −7/6
  6. −23/45
  7. −2/3
  8. 11/45
  9. 2/3
  10. −29/72
  11. −5/6
  12. Negative
  13. −1/6
  14. −46/35
  15. −1/7
  16. 13/30
  17. −2
  18. −7/8
  19. −4/5
  20. Positive
  21. Negative
  22. −13/20
  23. −41/63
  24. −1/4
  25. 17/56
  26. −4/9
  27. −2/7
  28. 19/56
  29. −1/5
  30. −4/5
  31. −2/5
  32. −2/9
  33. −1/8
  34. 33/40
  35. Negative
  36. −5/7
  37. −3/8
  38. Negative
  39. −2/7
  40. −1/5

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