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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 186 · 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 reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 3/5 (c) 5/3 (d) −5/3
  2. 2.What is (−3/7) + (−3/8)? (a) 45/56 (b) −2/5 (c) −45/56 (d) −3/56
  3. 3.What is (−1/5) + 2/3? (a) −7/15 (b) 7/15 (c) 1/8 (d) −13/15
  4. 4.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) −3/7 (c) 7/3 (d) −7/3
  5. 5.What is the additive inverse of 5/9? (a) 5/9 (b) 9/5 (c) −5/9 (d) −9/5
  6. 6.What is the additive inverse of 3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3
  7. 7.Is 4/7 positive or negative? (a) Positive (b) Negative
  8. 8.Which is smaller: −1/8 or 8/9? (a) 8/9 (b) −1/8
  9. 9.Is 1/(−9) positive or negative? (a) Positive (b) Negative
  10. 10.What is 3/5 − (−5/8)? (a) −49/40 (b) −1/40 (c) 8/13 (d) 49/40
  11. 11.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −7/6 (d) −12/14
  12. 12.What is 2/7 − (−1/7)? (a) 3/14 (b) −3/7 (c) 1/7 (d) 3/7
  13. 13.What is the additive inverse of −1/6? (a) 6 (b) −6 (c) 1/6 (d) −1/6
  14. 14.What is the reciprocal (multiplicative inverse) of −1/9? (a) −9 (b) 1/9 (c) 9 (d) −1/9
  15. 15.What is 8/9 + (−1/7)? (a) 47/63 (b) 7/16 (c) 65/63 (d) −47/63
  16. 16.Write −2/14 in standard form (lowest terms, positive denominator). (a) −7/1 (b) −2/14 (c) −1/7 (d) 1/7
  17. 17.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3
  18. 18.What is 1/5 − (−2/9)? (a) −19/45 (b) 3/14 (c) 19/45 (d) −1/45
  19. 19.What is (−3/5) − (−2/9)? (a) −17/45 (b) −37/45 (c) 17/45 (d) −1/14
  20. 20.Write −21/24 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) −21/24 (d) 7/8
  21. 21.What is the additive inverse of −1/7? (a) 1/7 (b) −1/7 (c) −7 (d) 7
  22. 22.Is 7/(−2) positive or negative? (a) Positive (b) Negative
  23. 23.Is 9/(−3) positive or negative? (a) Positive (b) Negative
  24. 24.What is the additive inverse of −7/8? (a) −7/8 (b) 7/8 (c) −8/7 (d) 8/7
  25. 25.Is 2/(−7) positive or negative? (a) Positive (b) Negative
  26. 26.What is 2/3 + (−5/8)? (a) −1/24 (b) −3/11 (c) 1/24 (d) 31/24
  27. 27.Write −12/21 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −12/21 (c) −7/4 (d) −4/7
  28. 28.Which is smaller: −3/4 or −3/7? (a) −3/7 (b) −3/4
  29. 29.Is 4/(−9) positive or negative? (a) Negative (b) Positive
  30. 30.What is (−3/8) − 5/6? (a) −4/7 (b) −29/24 (c) 11/24 (d) 29/24
  31. 31.Which is smaller: −1/8 or −3/4? (a) −1/8 (b) −3/4
  32. 32.What is the additive inverse of 1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2
  33. 33.What is 1/4 − (−1/3)? (a) −7/12 (b) 7/12 (c) −1/12 (d) 2/7
  34. 34.What is the additive inverse of 5/8? (a) −8/5 (b) 8/5 (c) −5/8 (d) 5/8
  35. 35.Write −16/18 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −16/18 (d) 8/9
  36. 36.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −25/45 (c) 5/9 (d) −5/9
  37. 37.Write −12/14 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −12/14 (c) −7/6 (d) 6/7
  38. 38.Is −2/3 positive or negative? (a) Negative (b) Positive
  39. 39.What is (−2/7) + (−1/5)? (a) −1/4 (b) −3/35 (c) −17/35 (d) 17/35
  40. 40.What is 1/3 + (−3/8)? (a) −1/24 (b) 17/24 (c) −2/11 (d) 1/24

Answer key

  1. −5/3
  2. −45/56
  3. 7/15
  4. −7/3
  5. −5/9
  6. −3/8
  7. Positive
  8. −1/8
  9. Negative
  10. 49/40
  11. −6/7
  12. 3/7
  13. 1/6
  14. −9
  15. 47/63
  16. −1/7
  17. 8/3
  18. 19/45
  19. −17/45
  20. −7/8
  21. 1/7
  22. Negative
  23. Negative
  24. 7/8
  25. Negative
  26. 1/24
  27. −4/7
  28. −3/4
  29. Negative
  30. −29/24
  31. −3/4
  32. −1/2
  33. 7/12
  34. −5/8
  35. −8/9
  36. −5/9
  37. −6/7
  38. Negative
  39. −17/35
  40. −1/24

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