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Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
4.6 Properties of Division in Integers

Property I: If a & b are two integers, a/b is not always an integer.
Examples: None of (-4)/5; 5/(-3); 1/2 is an integer.

Property II: For any integer 'a' not equal to zero.
a/a = 1; and a/1 = a
Examples:
5/5 = 1
5/1 = 5
1/5 is not an integer
123/123 = 1
123/1 = 123

Property III: For any integer 'a' not equal to zero.
a/(-1) = -a; a/(-a) = -1.

Property IV: For any non zero integer a; 0/a = 0. Examples:
3/(-1) = -3
3/(-3) = -1
1/(-3) is not an integer


Directions: Answer the following questions. Also write at least five examples of your own for each property on a sheet of paper.
Q 1: 722/722 = ?
-1
1

Q 2: 0/51 = ?
0
51

Q 3: 61/(-1) = ?
-61
61

Q 4: 51/1 = ?
51
1

Q 5: 81/(-81) = ?
1
-1

Q 6: For any integer 'a', not equal to zero; a/a = ?
1
a
0

Q 7: 761/(-1) = ?
-761
761

Q 8: If a and b are two integers, a/b is always an integer.
True
False

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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