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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 324 · 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 −1/5? (a) 1/5 (b) −5 (c) 5 (d) −1/5
  2. 2.What is the additive inverse of 5/8? (a) −5/8 (b) 8/5 (c) 5/8 (d) −8/5
  3. 3.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −6/5 (d) −20/24
  4. 4.What is the reciprocal (multiplicative inverse) of 5/9? (a) −5/9 (b) −9/5 (c) 5/9 (d) 9/5
  5. 5.What is the additive inverse of −7/8? (a) −8/7 (b) 8/7 (c) 7/8 (d) −7/8
  6. 6.What is (−1/7) + 2/5? (a) −19/35 (b) −9/35 (c) 1/12 (d) 9/35
  7. 7.Which is bigger: −1/5 or −2/9? (a) −1/5 (b) −2/9
  8. 8.What is (−1/7) + 2/3? (a) 1/10 (b) 11/21 (c) −11/21 (d) −17/21
  9. 9.What is (−1/6) + (−2/3)? (a) 5/6 (b) −5/6 (c) −1/3 (d) 1/2
  10. 10.Is −2/8 positive or negative? (a) Negative (b) Positive
  11. 11.Which is smaller: −5/8 or −4/7? (a) −5/8 (b) −4/7
  12. 12.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −2/10 (b) −1/5 (c) 1/5 (d) −5/1
  13. 13.What is the additive inverse of −4/7? (a) −7/4 (b) −4/7 (c) 7/4 (d) 4/7
  14. 14.What is (−5/9) + 4/7? (a) −71/63 (b) −1/16 (c) −1/63 (d) 1/63
  15. 15.Which is bigger: −4/9 or −7/9? (a) −7/9 (b) −4/9
  16. 16.What is 3/8 + (−5/8)? (a) −1/8 (b) 1 (c) −1/4 (d) 1/4
  17. 17.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −6/18 (c) −1/3 (d) −3/1
  18. 18.Write −4/12 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −4/12 (d) −3/1
  19. 19.What is (−1/9) + 1/2? (a) −11/18 (b) −7/18 (c) 7/18 (d) 0
  20. 20.Is −3/(−8) positive or negative? (a) Positive (b) Negative
  21. 21.What is the reciprocal (multiplicative inverse) of 1/9? (a) 1/9 (b) −1/9 (c) −9 (d) 9
  22. 22.What is 7/9 + (−1/7)? (a) 3/8 (b) −40/63 (c) 40/63 (d) 58/63
  23. 23.Which is bigger: −6/7 or −2/5? (a) −6/7 (b) −2/5
  24. 24.What is (−4/9) + 1/3? (a) −1/4 (b) −7/9 (c) −1/9 (d) 1/9
  25. 25.Which is smaller: −4/9 or −1/6? (a) −1/6 (b) −4/9
  26. 26.Write −24/27 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −24/27 (d) 8/9
  27. 27.Is 7/5 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−5/7) + 1/8? (a) −47/56 (b) −4/15 (c) −33/56 (d) 33/56
  29. 29.What is (−3/7) + (−2/5)? (a) −29/35 (b) 29/35 (c) −5/12 (d) −1/35
  30. 30.What is (−5/8) + (−3/8)? (a) 1 (b) −1/2 (c) −1/4 (d) −1
  31. 31.What is (−1/5) + (−3/4)? (a) 19/20 (b) −19/20 (c) 11/20 (d) −4/9
  32. 32.Which is bigger: −3/5 or −4/7? (a) −4/7 (b) −3/5
  33. 33.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −12/16
  34. 34.Which is smaller: −3/4 or 1/9? (a) 1/9 (b) −3/4
  35. 35.What is (−4/5) + 8/9? (a) −4/45 (b) −76/45 (c) 4/45 (d) 2/7
  36. 36.What is the additive inverse of 4/7? (a) −7/4 (b) 7/4 (c) −4/7 (d) 4/7
  37. 37.What is (−8/9) − (−3/4)? (a) 5/36 (b) −5/36 (c) −5/13 (d) −59/36
  38. 38.What is the additive inverse of 2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  39. 39.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) −12/27 (b) −4/9 (c) 4/9 (d) −9/4
  40. 40.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −5/9 (c) −9/5 (d) 5/9

Answer key

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

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