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### Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation4.6 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: 61/(-1) = ?61-61 Q 2: For any integer 'a', not equal to zero; a/a = ?10a Q 3: 0/51 = ?510 Q 4: 761/(-1) = ?-761761 Q 5: If a and b are two integers, a/b is always an integer.TrueFalse Q 6: 81/(-81) = ?-11 Q 7: 51/1 = ?151 Q 8: 51/0 = ?zeronot defined Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!