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Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
4.12 Division in Integers

Division of two integers:
  • If both integers have the same sign: Divide the absolute value of the first integer by the absolute value of the second integer. The result has a positive sign.
    Examples:
    6 2 = 3
    (-24) (-3) = |-24| |-3| = 24 3 = 8
    (-12) (-4) = |-12| |-4| = 12 4 = 3

  • To divide a pair of integers if both integers have different signs: Divide the absolute value of the first integer by the absolute value of the second integer, and give this result a negative sign.
    Examples:
    (-100) 25 = |100| |25| = 100 25 = 4, and give this result a negative sign: -4, so (-100) 25 = -4
    12 (-4) = |12| |4| = 12 4 = 3, and give this result a negative sign: -3, so 12 (-4) = -3

Remember the following facts:

1. The division of two positive integers is a positive integer.
2. The division of positive integer and negative integer is a negative integer.
3. The division of two negative integers is a positive integer.


Directions: Solve the following division problems. Also write at least ten examples of your own.
Q 1: (-56)/(-2) = ?
-28
28

Q 2: (-76)/(-4) = ?
-19
19

Q 3: (-310)/5 = ?
-62
62

Q 4: (-636)/12 = ?
-53
53

Q 5: 1071/21 = ?
-51
51

Q 6: 368/23 = ?
-16
16

Q 7: 72/(-12) = ?
6
-6

Q 8: 224/(-4) = ?
-56
56

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Question 10: This question is available to subscribers only!


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