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Home >> Closure Property >> Division of Whole Numbers >>

Closure Property (Division of Whole Numbers)

Addition of Whole Numbers Addition of Integers Subtraction of Whole Numbers Subtraction of Integers Multiplication of Whole Numbers
Multiplication of Integers Division of Whole Numbers Division of Integers

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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Study More Solved Questions / Examples

  • Solve the following and explain what you observe?
    40 10 = ?
    16 26 = ?
    99 11= ?
    15 21 = ?
  • Solve the following tables and write your observations:

    Table 1
    4422 = ?
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    10025 = ?
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    Table 2
    3521 = ?
    1810 = ?
    10015 = ?
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  • Prove that whole numbers not closed under division.
  • What do you mean by " Whole numbers are closed under division ". Explain in detail and What is this property known as ?
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