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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 139 · 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 1/7? (a) −7 (b) 1/7 (c) 7 (d) −1/7
  2. 2.What is the reciprocal (multiplicative inverse) of −2/7? (a) −7/2 (b) −2/7 (c) 7/2 (d) 2/7
  3. 3.Is −7/(−4) positive or negative? (a) Negative (b) Positive
  4. 4.What is 1/8 + (−5/6)? (a) 17/24 (b) −2/7 (c) −17/24 (d) 23/24
  5. 5.Write −6/54 in standard form (lowest terms, positive denominator). (a) −6/54 (b) −9/1 (c) 1/9 (d) −1/9
  6. 6.What is 5/9 − (−1/5)? (a) 34/45 (b) 3/7 (c) 16/45 (d) −34/45
  7. 7.Write −24/28 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −24/28 (c) 6/7 (d) −6/7
  8. 8.What is 2/9 − (−5/6)? (a) 7/15 (b) 19/18 (c) −11/18 (d) −19/18
  9. 9.Is −9/(−2) positive or negative? (a) Negative (b) Positive
  10. 10.Which is bigger: −2/7 or −5/6? (a) −2/7 (b) −5/6
  11. 11.What is the additive inverse of −3/5? (a) −5/3 (b) 3/5 (c) 5/3 (d) −3/5
  12. 12.Is −3/(−6) positive or negative? (a) Positive (b) Negative
  13. 13.What is 1/3 − (−1/7)? (a) 4/21 (b) 10/21 (c) 1/5 (d) −10/21
  14. 14.Is 8/3 positive or negative? (a) Negative (b) Positive
  15. 15.What is 1/3 + (−3/5)? (a) −4/15 (b) −1/4 (c) 14/15 (d) 4/15
  16. 16.Write −5/10 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −5/10 (c) 1/2 (d) −2/1
  17. 17.Is −9/8 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−5/7) + (−1/2)? (a) −3/14 (b) 17/14 (c) −17/14 (d) −2/3
  19. 19.What is (−5/7) − 2/5? (a) 39/35 (b) −11/35 (c) −7/12 (d) −39/35
  20. 20.Is 4/(−2) positive or negative? (a) Positive (b) Negative
  21. 21.Write −6/36 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −6/36 (c) 1/6 (d) −1/6
  22. 22.Which is smaller: −7/8 or −1/8? (a) −1/8 (b) −7/8
  23. 23.What is (−7/8) − (−5/9)? (a) −2/17 (b) −23/72 (c) −103/72 (d) 23/72
  24. 24.What is 2/3 + (−2/5)? (a) 0 (b) 4/15 (c) 16/15 (d) −4/15
  25. 25.Which is bigger: −7/8 or −1/3? (a) −7/8 (b) −1/3
  26. 26.What is (−3/7) − 2/9? (a) −13/63 (b) −41/63 (c) 41/63 (d) −5/16
  27. 27.Write −8/10 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) 4/5 (d) −8/10
  28. 28.What is the additive inverse of 5/8? (a) 8/5 (b) −5/8 (c) −8/5 (d) 5/8
  29. 29.What is the additive inverse of −5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  30. 30.Is 3/3 positive or negative? (a) Negative (b) Positive
  31. 31.Which is bigger: −2/7 or −1/4? (a) −1/4 (b) −2/7
  32. 32.Which is bigger: −3/7 or 3/4? (a) 3/4 (b) −3/7
  33. 33.Write −20/35 in standard form (lowest terms, positive denominator). (a) −4/7 (b) −7/4 (c) 4/7 (d) −20/35
  34. 34.What is the additive inverse of 2/9? (a) 2/9 (b) −9/2 (c) 9/2 (d) −2/9
  35. 35.Which is bigger: −1/7 or −1/3? (a) −1/3 (b) −1/7
  36. 36.What is (−1/4) − 5/8? (a) 3/8 (b) −7/8 (c) −1/2 (d) 7/8
  37. 37.What is (−1/4) − (−2/9)? (a) −1/36 (b) −17/36 (c) 1/36 (d) 1/13
  38. 38.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −4/10 (d) −5/2
  39. 39.What is (−7/8) − 3/8? (a) −5/4 (b) −5/8 (c) −1/2 (d) 5/4
  40. 40.Which is bigger: −1/5 or −4/5? (a) −1/5 (b) −4/5

Answer key

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

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