Before understanding this topic you must know what are whole numbers ?
Explanation :
System of whole numbers is not closed under division, this means that the division of any two whole numbers is not always a whole number. This is known as Closure Property for Division of Whole Numbers.
Read the following terms and you can further understand this property
4 ÷ 2 = 2, Result is a whole number.....(1)
27 ÷ 9 = 3, Result is a whole number.....(2)
15 ÷ 3 = 5, Result is a whole number.....(3)
4 ÷ 16 = 1/4;, Result is not a whole number.....(4)
9 ÷: 18 = 1/2;, Result is not a whole number.....(5)
From the above terms (1), (2) and (3), we notice that the division of whole numbers is also a whole number.
But also from the above terms (4) and (5), we notice that the division of whole numbers is not a whole number(i.e they are Fractions).
Hence, it can be concluded that division of two whole numbers is not always a whole number.
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