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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 83 · 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.Which is bigger: −2/9 or −5/9? (a) −5/9 (b) −2/9
  2. 2.What is (−5/6) + (−1/3)? (a) −2/3 (b) −7/6 (c) 7/6 (d) −1/2
  3. 3.Is −1/2 positive or negative? (a) Positive (b) Negative
  4. 4.What is the additive inverse of 2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  5. 5.Which is bigger: −2/5 or −3/4? (a) −2/5 (b) −3/4
  6. 6.What is (−5/7) + (−5/8)? (a) 75/56 (b) −75/56 (c) −2/3 (d) −5/56
  7. 7.What is 3/5 − (−3/5)? (a) −6/5 (b) 6/5 (c) 3/5 (d) 0
  8. 8.Is −7/(−2) positive or negative? (a) Negative (b) Positive
  9. 9.Is −9/(−6) positive or negative? (a) Positive (b) Negative
  10. 10.What is the additive inverse of −3/5? (a) −3/5 (b) −5/3 (c) 5/3 (d) 3/5
  11. 11.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −9/12 (d) −4/3
  12. 12.What is 1/5 + (−1/7)? (a) −2/35 (b) 0 (c) 2/35 (d) 12/35
  13. 13.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −7/8 (c) −35/40 (d) −8/7
  14. 14.Is 9/(−8) positive or negative? (a) Negative (b) Positive
  15. 15.What is (−7/9) + (−3/8)? (a) −10/17 (b) 83/72 (c) −29/72 (d) −83/72
  16. 16.What is the additive inverse of −2/5? (a) 2/5 (b) 5/2 (c) −2/5 (d) −5/2
  17. 17.Write −6/8 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −6/8 (c) −4/3 (d) 3/4
  18. 18.Which is smaller: −7/9 or −2/7? (a) −2/7 (b) −7/9
  19. 19.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) −6/8 (b) 3/4 (c) −3/4 (d) −4/3
  20. 20.What is (−1/7) + 2/7? (a) 1/14 (b) −3/7 (c) 1/7 (d) −1/7
  21. 21.What is (−3/4) + (−5/7)? (a) −8/11 (b) −1/28 (c) −41/28 (d) 41/28
  22. 22.What is 5/9 + (−5/6)? (a) 0 (b) 5/18 (c) 25/18 (d) −5/18
  23. 23.What is (−1/3) − (−5/8)? (a) −23/24 (b) 4/11 (c) 7/24 (d) −7/24
  24. 24.What is (−2/7) + 7/9? (a) −31/63 (b) 31/63 (c) −67/63 (d) 5/16
  25. 25.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −21/27 (d) −7/9
  26. 26.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −30/35 (c) 6/7 (d) −6/7
  27. 27.What is (−1/2) + (−7/9)? (a) −23/18 (b) 5/18 (c) −8/11 (d) 23/18
  28. 28.What is the additive inverse of 1/5? (a) 5 (b) −5 (c) 1/5 (d) −1/5
  29. 29.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) −3/2 (c) −2/3 (d) 3/2
  30. 30.What is the additive inverse of 3/4? (a) 3/4 (b) −4/3 (c) −3/4 (d) 4/3
  31. 31.What is 3/8 + (−4/7)? (a) 53/56 (b) −11/56 (c) −1/15 (d) 11/56
  32. 32.What is the additive inverse of 4/7? (a) 7/4 (b) −4/7 (c) 4/7 (d) −7/4
  33. 33.Is −4/(−6) positive or negative? (a) Positive (b) Negative
  34. 34.Is 3/7 positive or negative? (a) Positive (b) Negative
  35. 35.What is (−3/4) + (−5/6)? (a) −4/5 (b) −19/12 (c) 19/12 (d) 1/12
  36. 36.What is (−3/5) − 4/9? (a) −1/2 (b) 47/45 (c) −7/45 (d) −47/45
  37. 37.Which is bigger: −6/7 or −3/4? (a) −3/4 (b) −6/7
  38. 38.What is (−1/6) + 3/4? (a) −11/12 (b) 1/5 (c) −7/12 (d) 7/12
  39. 39.Write −21/24 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −8/7 (c) −7/8 (d) −21/24
  40. 40.Which is bigger: −8/9 or −4/9? (a) −8/9 (b) −4/9

Answer key

  1. −2/9
  2. −7/6
  3. Negative
  4. −2/5
  5. −2/5
  6. −75/56
  7. 6/5
  8. Positive
  9. Positive
  10. 3/5
  11. −3/4
  12. 2/35
  13. −7/8
  14. Negative
  15. −83/72
  16. 2/5
  17. −3/4
  18. −7/9
  19. −3/4
  20. 1/7
  21. −41/28
  22. −5/18
  23. 7/24
  24. 31/63
  25. −7/9
  26. −6/7
  27. −23/18
  28. −1/5
  29. −3/2
  30. −3/4
  31. −11/56
  32. −4/7
  33. Positive
  34. Positive
  35. −19/12
  36. −47/45
  37. −3/4
  38. 7/12
  39. −7/8
  40. −4/9

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