Before you understand this topic you must know: What is Division of Integers
Explanation :
System of integers is not closed under division, this means that the division of any two integers is not always an integers. This is known as Closure Property for Division of Whole Numbers.
Read the following and you can further understand this property:
(6) ÷ 2 = (3), Result is an Integer.......(1)
(27) ÷ (9) = 3, Result is an Integer.....(2)
15 ÷ (5) = (3), Result is an Integer ....(3)
4 ÷ (12) = (1/3), Result is not an Integer, while it’s a fraction.....(4)
(6) ÷ 24 = (1/4), Result is not an Integer, while it’s a fraction....(5)
(10) ÷ (100) = (1/10), Result is not an Integer, while it’s a fraction....(6)
From the above terms (1), (2) and (3), we notice that the division of integers is also an integer.
But also from the above terms (4), (5) and (6), we notice that the division of integers is not an integer (its Fraction).
Hence, it can be concluded that division of two integers is not always an integer.
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