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Home >> Closure Property >> Addition of Whole Numbers >>

Closure Property (Addition 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 closed under addition, this means that the sum of any two whole numbers is always a whole number. This is known as Closure Property for Addition of Whole Numbers

Read the following example and you can further understand this property

Example 1 = With the given whole numbers 4 and 9, Explain Closure Property for addition of whole numbers.
Answer= Find the sum of given whole numbers
4 + 9 = 13
As we know that 13 is also a whole number,
So, we can say that whole numbers are closed under addition.


Example 2 = With the given whole numbers 13 and 0, Explain Closure Property for addition of whole numbers.
Answer= Find the sum of given whole numbers
13 + 0 = 13
As we know that 13 is also a whole number,
So, we can say that whole numbers are closed under addition.


Example 3 = With the given whole numbers 25 and 7, Explain Closure Property for addition of whole numbers.
Answer= Find the sum of given whole numbers
25 + 7 = 32
As we know that 32 is also a whole number,
So, we can say that whole numbers are closed under addition.


Example 4 = With the given whole numbers 101 and 20, Explain Closure Property for addition of whole numbers.
Answer= Find the sum of given whole numbers
101 + 20 = 121
As we know that 121 is also a whole number,
So, we can say that whole numbers are closed under addition.


Study More Solved Questions / Examples

  • Explain closure property for addition of whole number, with variables x and y.
  • Prove Closure property of addition of whole numbers, with p = 124 , q = 39
  • Explain Closure property of addition of whole numbers, with numbers 25 and 1213
  • If a and b are whole numbers, then (a + b) will also be a whole number.
  • Observe the following table.
    First row is solved; try solving all the other rows in similar manner.
    What do you understand by studying the entire table?
    10 + 5 = 15 It's a whole number
    24 + 78 = ? ?
    123 + 456 = ? ?
    33 + 100 = ? ?
    9780 + 343 = ? ?
    189 + 42 = ? ?
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