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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 553 · 40 sums
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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.Is 9/7 positive or negative? (a) Positive (b) Negative
  2. 2.What is the reciprocal (multiplicative inverse) of −1/9? (a) 9 (b) 1/9 (c) −1/9 (d) −9
  3. 3.What is the reciprocal (multiplicative inverse) of −7/8? (a) 8/7 (b) −7/8 (c) 7/8 (d) −8/7
  4. 4.Write −12/15 in standard form (lowest terms, positive denominator). (a) −12/15 (b) −5/4 (c) 4/5 (d) −4/5
  5. 5.What is (−1/5) − (−1/8)? (a) −3/40 (b) 3/40 (c) −13/40 (d) 0
  6. 6.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) −9/7 (c) 9/7 (d) −7/9
  7. 7.Is 9/3 positive or negative? (a) Positive (b) Negative
  8. 8.What is the reciprocal (multiplicative inverse) of 6/7? (a) −6/7 (b) −7/6 (c) 6/7 (d) 7/6
  9. 9.What is (−3/7) − (−1/9)? (a) −34/63 (b) 20/63 (c) −1/8 (d) −20/63
  10. 10.Which is bigger: −1/2 or 2/5? (a) 2/5 (b) −1/2
  11. 11.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 1/3 (c) −1/3 (d) 3
  12. 12.What is 2/5 − (−2/7)? (a) 4/35 (b) 1/3 (c) 24/35 (d) −24/35
  13. 13.Which is smaller: −1/3 or 4/9? (a) 4/9 (b) −1/3
  14. 14.What is 8/9 − (−4/7)? (a) 20/63 (b) −92/63 (c) 3/4 (d) 92/63
  15. 15.Is 8/(−8) positive or negative? (a) Positive (b) Negative
  16. 16.Is −9/7 positive or negative? (a) Positive (b) Negative
  17. 17.Which is smaller: −3/5 or −1/4? (a) −1/4 (b) −3/5
  18. 18.Is 5/2 positive or negative? (a) Positive (b) Negative
  19. 19.What is (−1/3) + 4/7? (a) 5/21 (b) 3/10 (c) −19/21 (d) −5/21
  20. 20.Write −28/36 in standard form (lowest terms, positive denominator). (a) −28/36 (b) −7/9 (c) 7/9 (d) −9/7
  21. 21.What is (−3/8) + 8/9? (a) −37/72 (b) −91/72 (c) 37/72 (d) 5/17
  22. 22.What is the reciprocal (multiplicative inverse) of −3/4? (a) 3/4 (b) −3/4 (c) 4/3 (d) −4/3
  23. 23.What is (−5/9) + 5/9? (a) −10/9 (b) 0
  24. 24.Which is bigger: −5/9 or 1/2? (a) 1/2 (b) −5/9
  25. 25.What is (−4/9) + 3/7? (a) −55/63 (b) −1/16 (c) −1/63 (d) 1/63
  26. 26.Write −4/6 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −2/3 (c) 2/3 (d) −4/6
  27. 27.What is (−1/7) + (−1/8)? (a) −2/15 (b) 15/56 (c) −1/56 (d) −15/56
  28. 28.Write −8/18 in standard form (lowest terms, positive denominator). (a) −8/18 (b) 4/9 (c) −9/4 (d) −4/9
  29. 29.Which is smaller: −1/4 or −5/6? (a) −1/4 (b) −5/6
  30. 30.What is 1/9 − (−5/7)? (a) −52/63 (b) −38/63 (c) 52/63 (d) 3/8
  31. 31.What is the additive inverse of 3/4? (a) 3/4 (b) −4/3 (c) −3/4 (d) 4/3
  32. 32.Write −4/12 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) 1/3 (d) −4/12
  33. 33.What is (−2/3) + 1/6? (a) 1/2 (b) −1/2 (c) −1/9 (d) −5/6
  34. 34.What is (−1/4) − 1/4? (a) 1/2 (b) 0 (c) −1/4 (d) −1/2
  35. 35.Which is bigger: −5/7 or −2/5? (a) −5/7 (b) −2/5
  36. 36.Which is smaller: −4/9 or 5/7? (a) −4/9 (b) 5/7
  37. 37.Is −4/2 positive or negative? (a) Negative (b) Positive
  38. 38.What is (−2/9) + (−3/7)? (a) −5/16 (b) −41/63 (c) 13/63 (d) 41/63
  39. 39.Write −24/30 in standard form (lowest terms, positive denominator). (a) −24/30 (b) −4/5 (c) −5/4 (d) 4/5
  40. 40.What is the additive inverse of −1/7? (a) 1/7 (b) −1/7 (c) −7 (d) 7

Answer key

  1. Positive
  2. −9
  3. −8/7
  4. −4/5
  5. −3/40
  6. −9/7
  7. Positive
  8. 7/6
  9. −20/63
  10. 2/5
  11. 3
  12. 24/35
  13. −1/3
  14. 92/63
  15. Negative
  16. Negative
  17. −3/5
  18. Positive
  19. 5/21
  20. −7/9
  21. 37/72
  22. −4/3
  23. 0
  24. 1/2
  25. −1/63
  26. −2/3
  27. −15/56
  28. −4/9
  29. −5/6
  30. 52/63
  31. −3/4
  32. −1/3
  33. −1/2
  34. −1/2
  35. −2/5
  36. −4/9
  37. Negative
  38. −41/63
  39. −4/5
  40. 1/7

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