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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 526 · 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 1/5 + (−3/5)? (a) 2/5 (b) −2/5 (c) −1/5 (d) 4/5
  2. 2.Is 9/6 positive or negative? (a) Negative (b) Positive
  3. 3.Which is bigger: −5/7 or −1/3? (a) −5/7 (b) −1/3
  4. 4.What is the additive inverse of −1/8? (a) −8 (b) 1/8 (c) 8 (d) −1/8
  5. 5.Write −12/16 in standard form (lowest terms, positive denominator). (a) −12/16 (b) −4/3 (c) 3/4 (d) −3/4
  6. 6.What is (−5/9) + (−3/5)? (a) 2/45 (b) −52/45 (c) 52/45 (d) −4/7
  7. 7.What is (−2/9) + (−5/7)? (a) −7/16 (b) 31/63 (c) 59/63 (d) −59/63
  8. 8.What is the additive inverse of 6/7? (a) 7/6 (b) −6/7 (c) 6/7 (d) −7/6
  9. 9.Which is smaller: −5/7 or −1/6? (a) −5/7 (b) −1/6
  10. 10.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −6/42 (b) 1/7 (c) −1/7 (d) −7/1
  11. 11.Is 6/8 positive or negative? (a) Positive (b) Negative
  12. 12.Is −4/4 positive or negative? (a) Negative (b) Positive
  13. 13.What is the reciprocal (multiplicative inverse) of 3/8? (a) −3/8 (b) −8/3 (c) 3/8 (d) 8/3
  14. 14.What is (−1/8) + 6/7? (a) −41/56 (b) 1/3 (c) −55/56 (d) 41/56
  15. 15.What is 3/7 + (−1/8)? (a) 2/15 (b) −17/56 (c) 17/56 (d) 31/56
  16. 16.What is the reciprocal (multiplicative inverse) of 1/7? (a) −7 (b) 1/7 (c) 7 (d) −1/7
  17. 17.Which is smaller: −4/7 or −2/9? (a) −4/7 (b) −2/9
  18. 18.Which is smaller: −1/8 or 2/3? (a) 2/3 (b) −1/8
  19. 19.Which is bigger: −2/3 or 2/7? (a) 2/7 (b) −2/3
  20. 20.Is −9/3 positive or negative? (a) Positive (b) Negative
  21. 21.Write −15/21 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) −15/21 (d) 5/7
  22. 22.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −2/14 (c) −1/7 (d) −7/1
  23. 23.What is 2/5 − (−3/8)? (a) 31/40 (b) 1/40 (c) −31/40 (d) 5/13
  24. 24.Which is smaller: −1/4 or −3/4? (a) −3/4 (b) −1/4
  25. 25.What is 3/8 + (−3/8)? (a) 0 (b) 3/4
  26. 26.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −3/2 (d) −4/6
  27. 27.Is 9/(−2) positive or negative? (a) Positive (b) Negative
  28. 28.What is the additive inverse of −8/9? (a) −8/9 (b) 8/9 (c) 9/8 (d) −9/8
  29. 29.What is (−7/8) − (−1/9)? (a) −6/17 (b) −71/72 (c) −55/72 (d) 55/72
  30. 30.Is −8/(−6) positive or negative? (a) Negative (b) Positive
  31. 31.Write −10/18 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −5/9 (c) −10/18 (d) 5/9
  32. 32.Is −2/(−6) positive or negative? (a) Positive (b) Negative
  33. 33.Which is smaller: −5/6 or −4/9? (a) −4/9 (b) −5/6
  34. 34.Is −4/7 positive or negative? (a) Negative (b) Positive
  35. 35.Which is smaller: −7/8 or 2/7? (a) 2/7 (b) −7/8
  36. 36.What is 6/7 − (−1/5)? (a) 23/35 (b) 7/12 (c) −37/35 (d) 37/35
  37. 37.What is (−1/4) + (−5/8)? (a) 7/8 (b) −1/2 (c) −7/8 (d) 3/8
  38. 38.Which is bigger: −2/7 or −1/9? (a) −1/9 (b) −2/7
  39. 39.What is (−1/2) − 5/7? (a) 17/14 (b) −17/14 (c) 3/14 (d) −2/3
  40. 40.Write −4/20 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −4/20 (c) 1/5 (d) −1/5

Answer key

  1. −2/5
  2. Positive
  3. −1/3
  4. 1/8
  5. −3/4
  6. −52/45
  7. −59/63
  8. −6/7
  9. −5/7
  10. −1/7
  11. Positive
  12. Negative
  13. 8/3
  14. 41/56
  15. 17/56
  16. 7
  17. −4/7
  18. −1/8
  19. 2/7
  20. Negative
  21. −5/7
  22. −1/7
  23. 31/40
  24. −3/4
  25. 0
  26. −2/3
  27. Negative
  28. 8/9
  29. −55/72
  30. Positive
  31. −5/9
  32. Positive
  33. −5/6
  34. Negative
  35. −7/8
  36. 37/35
  37. −7/8
  38. −1/9
  39. −17/14
  40. −1/5

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