Multiplication and Division of Integers

MULTIPLICATION

RULE 1: The product of a positive integer and a negative integer is negative.

RULE 2: The product of two positive integers is positive.

RULE 3: The product of two negative integers is positive.

Examples:

Rule 1: 1. (+4) x (-2) = -8 2. (-2) x (+5) = -10

Rule 2: 1. (+6) x (+8) = +48 2. (+6) x (+2) = +12

Rule 3: 1. (-6) x (-8) = +48 2. (-2) x (-4) = +8

DIVISION

RULE 1: The quotient of a positive integer and a negative integer is negative.

RULE 2: The quotient of two positive integers is positive.

RULE 3: The quotient of two negative integers is positive.

Examples:

Rule 1: 1. (-8) / (+4) = -2 2. (-12) / (+6) = -2

Rule 2: 1. (+6) / (-3) = -2 2. (+24) / (-6) = -4

Rule 3. 1. (+9) / (+3) = +3 2. (+16) / (+4) = +4

Rule 4: 1. (-6) / (-2) = +3 2. (-42) / (-7) = +6

SUMMARY OF MULTIPLICATION AND DIVISION RULES

  1. If the signs are different the answer is negative.
  2. If the signs are alike the answer is positive.

Problems:

  1. (+3) x (-1) = __________
  2. (+7) x (+6) = __________
  3. (-5) x (-5) = ___________
  4. (-8) x (-6) = ___________
  5. ( -12) x (+5) = _________
  6. (+16) x (0) = __________
  7. (-30) x (-3) = __________
  8. (-18) x (+23) = ________
  9. (-40) x (-4) = __________
  10. (-11) x (+4) = _________
  11. (+3) x (-8) = __________
  12. (+15) x (0) = __________
  13. (-7) x (-4) = ___________
  14. (+9) x (+8) = __________
  15. (+9) / (+3) = __________
  16. (+10) /(-5) = __________
  17. (-12) / (-3) = __________
  18. (-25) / (+5) = __________
  19. (-45) / (+15) = _________
  20. (-18) / (-6) = __________
  21. (+52) / (13) = __________
  22. (-30) / (+10) = _________
  23. (+14) / (-2) = __________
  24. (+16) / (-4) = __________
  25. (-42) / (+7) = __________
  26. (4) / (2) = _____________
  27. 0 / (-7) = ______________
  28. 0 / (6) = ______________



Answer Key Multiplication and Division of Integers

 

  1. 42
  2. 25
  3. 48
  4. –60
  5. 0
  6. 90
  7. –414
  8. 160
  9. –44
  10. –24
  11. 0
  12. 28
  13. 72
  14. 3
  15. –2
  16. 4
  17. –5
  18. –3
  19. 3
  20. 4
  21. –3
  22. –7
  23. –4
  24. –6
  25. 2
  26. 0
  27. 0