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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 385 · 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.Is 7/9 positive or negative? (a) Negative (b) Positive
  2. 2.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 3 (c) 1/3 (d) −1/3
  3. 3.Is −4/6 positive or negative? (a) Positive (b) Negative
  4. 4.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) −4/32 (b) −1/8 (c) −8/1 (d) 1/8
  5. 5.Which is smaller: −1/9 or −2/9? (a) −1/9 (b) −2/9
  6. 6.Which is smaller: −4/9 or −5/8? (a) −4/9 (b) −5/8
  7. 7.What is the additive inverse of 2/7? (a) 7/2 (b) −7/2 (c) −2/7 (d) 2/7
  8. 8.What is (−4/7) − 3/7? (a) 1 (b) −1 (c) −1/2 (d) −1/7
  9. 9.Write 16/(−20) in standard form (lowest terms, positive denominator). (a) −16/20 (b) −5/4 (c) −4/5 (d) 4/5
  10. 10.What is 1/9 + (−1/7)? (a) 2/63 (b) 16/63 (c) −2/63 (d) 0
  11. 11.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −42/54 (d) −7/9
  12. 12.What is (−5/8) − 3/8? (a) −1 (b) −1/2 (c) 1 (d) −1/4
  13. 13.What is the reciprocal (multiplicative inverse) of −8/9? (a) −9/8 (b) 9/8 (c) −8/9 (d) 8/9
  14. 14.What is 3/8 + (−5/7)? (a) 19/56 (b) −19/56 (c) −2/15 (d) 61/56
  15. 15.What is (−3/5) − (−1/9)? (a) 22/45 (b) −32/45 (c) −22/45 (d) −1/7
  16. 16.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −12/16
  17. 17.What is the reciprocal (multiplicative inverse) of −3/4? (a) 4/3 (b) −3/4 (c) −4/3 (d) 3/4
  18. 18.What is (−2/3) + 6/7? (a) −32/21 (b) −4/21 (c) 4/21 (d) 2/5
  19. 19.Which is smaller: −5/8 or 1/6? (a) −5/8 (b) 1/6
  20. 20.Which is bigger: −3/4 or 5/8? (a) 5/8 (b) −3/4
  21. 21.What is (−5/6) − 4/7? (a) 59/42 (b) −59/42 (c) −9/13 (d) −11/42
  22. 22.Which is bigger: −3/4 or −2/9? (a) −2/9 (b) −3/4
  23. 23.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) −1/4 (c) 1/4 (d) 4
  24. 24.What is (−3/5) + (−2/9)? (a) 37/45 (b) −17/45 (c) −37/45 (d) −5/14
  25. 25.What is (−1/7) − (−1/5)? (a) 2/35 (b) 0 (c) −2/35 (d) −12/35
  26. 26.Write −4/28 in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −7/1 (d) −4/28
  27. 27.What is (−7/9) − 5/7? (a) 94/63 (b) −3/4 (c) −94/63 (d) −4/63
  28. 28.Is 4/2 positive or negative? (a) Negative (b) Positive
  29. 29.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) 9/2 (c) −2/9 (d) −9/2
  30. 30.What is the reciprocal (multiplicative inverse) of 1/8? (a) 8 (b) 1/8 (c) −1/8 (d) −8
  31. 31.What is (−7/8) − 8/9? (a) 127/72 (b) 1/72 (c) −15/17 (d) −127/72
  32. 32.What is the additive inverse of 1/4? (a) 4 (b) −4 (c) −1/4 (d) 1/4
  33. 33.Which is smaller: −4/7 or 3/4? (a) −4/7 (b) 3/4
  34. 34.Is 5/7 positive or negative? (a) Positive (b) Negative
  35. 35.What is (−5/8) − (−5/6)? (a) 0 (b) 5/24 (c) −35/24 (d) −5/24
  36. 36.Write −20/32 in standard form (lowest terms, positive denominator). (a) −20/32 (b) 5/8 (c) −5/8 (d) −8/5
  37. 37.What is the additive inverse of −5/6? (a) −6/5 (b) −5/6 (c) 6/5 (d) 5/6
  38. 38.Is −7/(−2) positive or negative? (a) Negative (b) Positive
  39. 39.Write −12/30 in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −5/2 (d) −12/30
  40. 40.What is (−2/5) − 5/8? (a) 41/40 (b) −7/13 (c) −41/40 (d) 9/40

Answer key

  1. Positive
  2. 3
  3. Negative
  4. −1/8
  5. −2/9
  6. −5/8
  7. −2/7
  8. −1
  9. −4/5
  10. −2/63
  11. −7/9
  12. −1
  13. −9/8
  14. −19/56
  15. −22/45
  16. −3/4
  17. −4/3
  18. 4/21
  19. −5/8
  20. 5/8
  21. −59/42
  22. −2/9
  23. 4
  24. −37/45
  25. 2/35
  26. −1/7
  27. −94/63
  28. Positive
  29. 9/2
  30. 8
  31. −127/72
  32. −1/4
  33. −4/7
  34. Positive
  35. 5/24
  36. −5/8
  37. 5/6
  38. Positive
  39. −2/5
  40. −41/40

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