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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 140 · 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 −1/4? (a) 1/4 (b) −4 (c) −1/4 (d) 4
  2. 2.Is 2/(−3) positive or negative? (a) Positive (b) Negative
  3. 3.What is (−3/7) + (−2/5)? (a) 29/35 (b) −1/35 (c) −5/12 (d) −29/35
  4. 4.What is 7/8 − (−1/6)? (a) 4/7 (b) 17/24 (c) −25/24 (d) 25/24
  5. 5.What is 1/9 − (−1/4)? (a) 13/36 (b) −5/36 (c) 2/13 (d) −13/36
  6. 6.What is the additive inverse of 4/7? (a) 7/4 (b) 4/7 (c) −4/7 (d) −7/4
  7. 7.What is the additive inverse of −1/7? (a) 1/7 (b) −7 (c) 7 (d) −1/7
  8. 8.What is (−1/7) − 3/5? (a) 26/35 (b) 16/35 (c) −26/35 (d) −1/3
  9. 9.What is (−1/7) − (−3/4)? (a) 2/11 (b) −17/28 (c) 17/28 (d) −25/28
  10. 10.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −25/35 (d) −7/5
  11. 11.What is 3/4 + (−1/8)? (a) 5/8 (b) 1/6 (c) −5/8 (d) 7/8
  12. 12.What is (−2/7) + (−3/4)? (a) 29/28 (b) −29/28 (c) −5/11 (d) 13/28
  13. 13.Is −5/5 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−4/5) − 3/4? (a) −31/20 (b) −1/20 (c) 31/20 (d) −7/9
  15. 15.Is −5/3 positive or negative? (a) Negative (b) Positive
  16. 16.What is 7/8 + (−3/4)? (a) 1/8 (b) 1/3 (c) 13/8 (d) −1/8
  17. 17.What is 3/7 + (−7/8)? (a) 25/56 (b) 73/56 (c) −4/15 (d) −25/56
  18. 18.What is (−1/2) + (−1/5)? (a) −3/10 (b) −7/10 (c) 7/10 (d) −2/7
  19. 19.Is 2/2 positive or negative? (a) Negative (b) Positive
  20. 20.What is 7/9 − (−4/7)? (a) 11/16 (b) 85/63 (c) −85/63 (d) 13/63
  21. 21.Write 20/(−28) in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −20/28
  22. 22.What is 2/9 − (−1/5)? (a) −19/45 (b) 19/45 (c) 3/14 (d) 1/45
  23. 23.What is the additive inverse of −1/4? (a) 4 (b) 1/4 (c) −1/4 (d) −4
  24. 24.Which is smaller: −1/4 or −6/7? (a) −1/4 (b) −6/7
  25. 25.Is 1/3 positive or negative? (a) Positive (b) Negative
  26. 26.What is (−4/5) + 2/5? (a) 2/5 (b) −6/5 (c) −2/5 (d) −1/5
  27. 27.Which is smaller: −7/8 or −1/9? (a) −1/9 (b) −7/8
  28. 28.What is (−1/2) + (−1/7)? (a) −2/9 (b) −9/14 (c) −5/14 (d) 9/14
  29. 29.What is (−3/5) − (−8/9)? (a) 13/45 (b) 5/14 (c) −67/45 (d) −13/45
  30. 30.What is (−1/2) + (−5/8)? (a) −3/5 (b) 1/8 (c) −9/8 (d) 9/8
  31. 31.Which is smaller: −3/7 or 7/8? (a) −3/7 (b) 7/8
  32. 32.What is the additive inverse of 2/7? (a) 7/2 (b) −7/2 (c) −2/7 (d) 2/7
  33. 33.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) 6/7 (d) −12/14
  34. 34.What is 1/3 − (−2/7)? (a) −13/21 (b) 1/21 (c) 3/10 (d) 13/21
  35. 35.Write −21/27 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −7/9 (d) −21/27
  36. 36.Is 3/(−2) positive or negative? (a) Negative (b) Positive
  37. 37.Write −6/18 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −1/3 (d) −6/18
  38. 38.Which is bigger: −3/7 or −2/9? (a) −3/7 (b) −2/9
  39. 39.What is (−7/8) − (−1/7)? (a) −57/56 (b) −2/5 (c) −41/56 (d) 41/56
  40. 40.Write −2/12 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −1/6 (c) −6/1 (d) −2/12

Answer key

  1. −4
  2. Negative
  3. −29/35
  4. 25/24
  5. 13/36
  6. −4/7
  7. 1/7
  8. −26/35
  9. 17/28
  10. −5/7
  11. 5/8
  12. −29/28
  13. Negative
  14. −31/20
  15. Negative
  16. 1/8
  17. −25/56
  18. −7/10
  19. Positive
  20. 85/63
  21. −5/7
  22. 19/45
  23. 1/4
  24. −6/7
  25. Positive
  26. −2/5
  27. −7/8
  28. −9/14
  29. 13/45
  30. −9/8
  31. −3/7
  32. −2/7
  33. −6/7
  34. 13/21
  35. −7/9
  36. Negative
  37. −1/3
  38. −2/9
  39. −41/56
  40. −1/6

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