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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 734 · 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 (−5/6) + (−8/9)? (a) 1/18 (b) −13/15 (c) 31/18 (d) −31/18
  2. 2.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) −6/16 (b) 3/8 (c) −8/3 (d) −3/8
  3. 3.What is 3/7 − (−5/8)? (a) −59/56 (b) 59/56 (c) 8/15 (d) −11/56
  4. 4.What is 8/9 + (−1/6)? (a) 7/15 (b) 13/18 (c) −13/18 (d) 19/18
  5. 5.Which is smaller: −4/5 or −6/7? (a) −6/7 (b) −4/5
  6. 6.Which is smaller: −2/3 or −5/8? (a) −2/3 (b) −5/8
  7. 7.Is −5/(−4) positive or negative? (a) Positive (b) Negative
  8. 8.What is 7/8 + (−2/9)? (a) 5/17 (b) 79/72 (c) −47/72 (d) 47/72
  9. 9.Which is smaller: −4/9 or 5/9? (a) 5/9 (b) −4/9
  10. 10.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −2/10 (c) −1/5 (d) 1/5
  11. 11.What is (−4/9) + (−2/7)? (a) −46/63 (b) 46/63 (c) −10/63 (d) −3/8
  12. 12.What is 1/5 + (−2/9)? (a) −1/14 (b) 1/45 (c) −1/45 (d) 19/45
  13. 13.What is the additive inverse of 1/7? (a) −1/7 (b) 1/7 (c) −7 (d) 7
  14. 14.Is 1/2 positive or negative? (a) Negative (b) Positive
  15. 15.Which is bigger: −3/7 or −1/4? (a) −3/7 (b) −1/4
  16. 16.What is 3/5 + (−2/3)? (a) 1/15 (b) −1/15 (c) 1/8 (d) 19/15
  17. 17.Write −16/20 in standard form (lowest terms, positive denominator). (a) −16/20 (b) 4/5 (c) −5/4 (d) −4/5
  18. 18.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −15/25 (b) 3/5 (c) −3/5 (d) −5/3
  19. 19.Which is smaller: −7/8 or −1/2? (a) −1/2 (b) −7/8
  20. 20.What is (−1/7) − 5/8? (a) 43/56 (b) −2/5 (c) 27/56 (d) −43/56
  21. 21.What is 4/7 − (−1/4)? (a) −23/28 (b) 23/28 (c) 9/28 (d) 5/11
  22. 22.Is 6/3 positive or negative? (a) Negative (b) Positive
  23. 23.What is 2/3 + (−1/3)? (a) −1/3 (b) 1/6 (c) 1/3 (d) 1
  24. 24.What is (−1/9) + 4/5? (a) 31/45 (b) 3/14 (c) −31/45 (d) −41/45
  25. 25.Which is smaller: −3/8 or −7/8? (a) −3/8 (b) −7/8
  26. 26.Is −4/8 positive or negative? (a) Positive (b) Negative
  27. 27.What is 5/8 + (−4/9)? (a) 13/72 (b) 1/17 (c) −13/72 (d) 77/72
  28. 28.Is 6/(−6) positive or negative? (a) Negative (b) Positive
  29. 29.What is the reciprocal (multiplicative inverse) of −2/9? (a) −9/2 (b) 2/9 (c) 9/2 (d) −2/9
  30. 30.Is 4/4 positive or negative? (a) Positive (b) Negative
  31. 31.What is (−5/8) − (−3/7)? (a) −11/56 (b) 11/56 (c) −59/56 (d) −2/15
  32. 32.Is 7/9 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−1/2) − 6/7? (a) −19/14 (b) −7/9 (c) 5/14 (d) 19/14
  34. 34.What is 1/7 − (−3/4)? (a) −25/28 (b) 25/28 (c) −17/28 (d) 4/11
  35. 35.Is 2/2 positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −2/9 or −1/5? (a) −1/5 (b) −2/9
  37. 37.What is 1/9 + (−7/8)? (a) −6/17 (b) 71/72 (c) 55/72 (d) −55/72
  38. 38.Write −18/21 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −6/7 (c) −7/6 (d) −18/21
  39. 39.Is 5/5 positive or negative? (a) Negative (b) Positive
  40. 40.What is (−1/4) + 5/9? (a) 4/13 (b) −29/36 (c) 11/36 (d) −11/36

Answer key

  1. −31/18
  2. −3/8
  3. 59/56
  4. 13/18
  5. −6/7
  6. −2/3
  7. Positive
  8. 47/72
  9. −4/9
  10. −1/5
  11. −46/63
  12. −1/45
  13. −1/7
  14. Positive
  15. −1/4
  16. −1/15
  17. −4/5
  18. −3/5
  19. −7/8
  20. −43/56
  21. 23/28
  22. Positive
  23. 1/3
  24. 31/45
  25. −7/8
  26. Negative
  27. 13/72
  28. Negative
  29. −9/2
  30. Positive
  31. −11/56
  32. Positive
  33. −19/14
  34. 25/28
  35. Positive
  36. −1/5
  37. −55/72
  38. −6/7
  39. Positive
  40. 11/36

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