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. ñ60
5. 0
6. 90
7. ñ414
8. 160
9. ñ44
10. ñ24
11. 0
12. 28
13. 72
14. 3
15. ñ2
16. 4
17. ñ5
18. ñ3
19. 3
20. 4
21. ñ3
22. ñ7
23. ñ4
24. ñ6
25. 2
26. 0
27. 0