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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 790 · 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 additive inverse of 1/2? (a) −2 (b) −1/2 (c) 1/2 (d) 2
  2. 2.Which is bigger: −1/2 or −5/7? (a) −5/7 (b) −1/2
  3. 3.Is −5/5 positive or negative? (a) Negative (b) Positive
  4. 4.What is the additive inverse of 2/5? (a) −5/2 (b) 5/2 (c) 2/5 (d) −2/5
  5. 5.What is the additive inverse of 2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  6. 6.Which is bigger: −1/9 or 1/6? (a) −1/9 (b) 1/6
  7. 7.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −12/28 (b) 3/7 (c) −7/3 (d) −3/7
  8. 8.What is the additive inverse of 8/9? (a) 8/9 (b) 9/8 (c) −8/9 (d) −9/8
  9. 9.Is 3/(−5) positive or negative? (a) Negative (b) Positive
  10. 10.Which is bigger: −7/8 or −1/2? (a) −7/8 (b) −1/2
  11. 11.Which is bigger: −8/9 or −7/9? (a) −8/9 (b) −7/9
  12. 12.Which is bigger: −3/7 or −3/5? (a) −3/7 (b) −3/5
  13. 13.Which is bigger: −4/9 or −5/8? (a) −5/8 (b) −4/9
  14. 14.What is 1/9 + (−4/7)? (a) −3/16 (b) 29/63 (c) −29/63 (d) 43/63
  15. 15.What is 5/9 − (−7/9)? (a) 2/3 (b) −2/9 (c) 4/3 (d) −4/3
  16. 16.Which is smaller: −1/7 or 2/9? (a) −1/7 (b) 2/9
  17. 17.Is −8/4 positive or negative? (a) Negative (b) Positive
  18. 18.What is (−2/7) + 4/9? (a) −46/63 (b) 1/8 (c) −10/63 (d) 10/63
  19. 19.What is 1/3 − (−4/7)? (a) 19/21 (b) 1/2 (c) −5/21 (d) −19/21
  20. 20.What is the additive inverse of 1/6? (a) 1/6 (b) 6 (c) −6 (d) −1/6
  21. 21.Is −8/2 positive or negative? (a) Positive (b) Negative
  22. 22.Write −15/21 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −15/21 (c) −7/5 (d) 5/7
  23. 23.Which is bigger: −6/7 or −2/9? (a) −6/7 (b) −2/9
  24. 24.What is (−8/9) + (−1/9)? (a) −1/2 (b) 1 (c) −7/9 (d) −1
  25. 25.Which is smaller: −1/4 or −4/9? (a) −1/4 (b) −4/9
  26. 26.Which is smaller: −6/7 or −1/6? (a) −1/6 (b) −6/7
  27. 27.Is 2/9 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−3/7) + (−1/8)? (a) 31/56 (b) −4/15 (c) −17/56 (d) −31/56
  29. 29.Write −3/12 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −3/12 (c) −1/4 (d) 1/4
  30. 30.What is the additive inverse of 3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  31. 31.What is (−3/4) − 5/8? (a) −1/8 (b) −2/3 (c) 11/8 (d) −11/8
  32. 32.What is (−3/5) + 2/3? (a) −19/15 (b) −1/15 (c) −1/8 (d) 1/15
  33. 33.What is (−2/5) + (−1/7)? (a) −19/35 (b) −9/35 (c) 19/35 (d) −1/4
  34. 34.Which is bigger: −3/5 or −7/9? (a) −7/9 (b) −3/5
  35. 35.What is 8/9 − (−1/5)? (a) 31/45 (b) −49/45 (c) 49/45 (d) 9/14
  36. 36.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/4 (b) −1/2 (c) −2/1 (d) 1/2
  37. 37.Is 2/2 positive or negative? (a) Positive (b) Negative
  38. 38.Which is bigger: −3/5 or −1/4? (a) −1/4 (b) −3/5
  39. 39.What is (−2/5) + (−4/9)? (a) −3/7 (b) −38/45 (c) 2/45 (d) 38/45
  40. 40.What is 7/8 − (−7/8)? (a) −7/4 (b) 7/8 (c) 0 (d) 7/4

Answer key

  1. −1/2
  2. −1/2
  3. Negative
  4. −2/5
  5. −2/7
  6. 1/6
  7. −3/7
  8. −8/9
  9. Negative
  10. −1/2
  11. −7/9
  12. −3/7
  13. −4/9
  14. −29/63
  15. 4/3
  16. −1/7
  17. Negative
  18. 10/63
  19. 19/21
  20. −1/6
  21. Negative
  22. −5/7
  23. −2/9
  24. −1
  25. −4/9
  26. −6/7
  27. Positive
  28. −31/56
  29. −1/4
  30. −3/8
  31. −11/8
  32. 1/15
  33. −19/35
  34. −3/5
  35. 49/45
  36. −1/2
  37. Positive
  38. −1/4
  39. −38/45
  40. 7/4

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