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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 657 · 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.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −20/32 (c) −8/5 (d) −5/8
  2. 2.Is −4/(−7) positive or negative? (a) Negative (b) Positive
  3. 3.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −2/9 (d) −12/54
  4. 4.What is the reciprocal (multiplicative inverse) of −1/8? (a) −8 (b) 1/8 (c) −1/8 (d) 8
  5. 5.What is 5/9 + (−6/7)? (a) 89/63 (b) −1/16 (c) 19/63 (d) −19/63
  6. 6.What is (−1/5) − (−1/7)? (a) 2/35 (b) 0 (c) −2/35 (d) −12/35
  7. 7.Write −6/15 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) 2/5 (d) −6/15
  8. 8.Is −2/(−7) positive or negative? (a) Positive (b) Negative
  9. 9.Is 3/(−7) positive or negative? (a) Positive (b) Negative
  10. 10.What is (−1/9) − 4/5? (a) 41/45 (b) −5/14 (c) −41/45 (d) 31/45
  11. 11.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −32/36 (d) 8/9
  12. 12.Which is bigger: −8/9 or 1/4? (a) −8/9 (b) 1/4
  13. 13.Which is bigger: −4/5 or −2/5? (a) −4/5 (b) −2/5
  14. 14.Is −5/(−4) positive or negative? (a) Negative (b) Positive
  15. 15.Which is smaller: −1/8 or −5/7? (a) −5/7 (b) −1/8
  16. 16.What is (−3/7) + 1/5? (a) −1/6 (b) −22/35 (c) 8/35 (d) −8/35
  17. 17.Which is smaller: −1/9 or −2/3? (a) −2/3 (b) −1/9
  18. 18.Which is smaller: −5/6 or −2/9? (a) −2/9 (b) −5/6
  19. 19.Which is smaller: −2/5 or −1/7? (a) −1/7 (b) −2/5
  20. 20.What is the reciprocal (multiplicative inverse) of −7/8? (a) 8/7 (b) −8/7 (c) −7/8 (d) 7/8
  21. 21.What is 3/4 + (−4/7)? (a) 5/28 (b) −1/11 (c) −5/28 (d) 37/28
  22. 22.Which is smaller: −6/7 or −2/5? (a) −6/7 (b) −2/5
  23. 23.What is (−1/2) − (−5/6)? (a) −4/3 (b) 1/3 (c) −1/3 (d) 1/2
  24. 24.What is the additive inverse of 1/7? (a) 7 (b) 1/7 (c) −7 (d) −1/7
  25. 25.What is (−2/3) − 5/8? (a) −1/24 (b) −31/24 (c) −7/11 (d) 31/24
  26. 26.What is (−2/7) − (−3/8)? (a) −37/56 (b) 1/15 (c) −5/56 (d) 5/56
  27. 27.Is −8/(−4) positive or negative? (a) Negative (b) Positive
  28. 28.Is 5/(−9) positive or negative? (a) Negative (b) Positive
  29. 29.Which is smaller: −5/7 or −8/9? (a) −8/9 (b) −5/7
  30. 30.Is 7/5 positive or negative? (a) Negative (b) Positive
  31. 31.What is 1/2 − (−2/3)? (a) −1/6 (b) 7/6 (c) −7/6 (d) 3/5
  32. 32.Write −15/27 in standard form (lowest terms, positive denominator). (a) −5/9 (b) −9/5 (c) −15/27 (d) 5/9
  33. 33.What is (−3/5) + 4/7? (a) −41/35 (b) 1/35 (c) 1/12 (d) −1/35
  34. 34.What is (−1/5) + (−2/3)? (a) −3/8 (b) −13/15 (c) 7/15 (d) 13/15
  35. 35.What is the additive inverse of −1/4? (a) −1/4 (b) −4 (c) 1/4 (d) 4
  36. 36.What is the additive inverse of 2/5? (a) 5/2 (b) 2/5 (c) −5/2 (d) −2/5
  37. 37.What is (−1/2) − 1/6? (a) −1/3 (b) −1/4 (c) 2/3 (d) −2/3
  38. 38.Which is bigger: −1/5 or −4/5? (a) −1/5 (b) −4/5
  39. 39.Which is bigger: −1/8 or −2/7? (a) −2/7 (b) −1/8
  40. 40.What is 2/7 + (−5/7)? (a) −3/14 (b) 3/7 (c) 1 (d) −3/7

Answer key

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

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