PUMPA - SMART LEARNING

எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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The closure property of whole numbers states that while operating addition and multiplication with two or more whole numbers, the result of the operation is also a whole number.
While doing the operation of whole numbers if the result of the operation is a whole number, then we can say that it satisfies the closure property.
The result of the addition and multiplication of any two whole numbers is always a whole number.

Consider \(a\) and \(b\) are two whole numbers then:
  • The addition \(a + b\) is a whole number.
  • The multiplication \(a × b\) is also a whole number.
Example:
3 and 9 are two whole numbers then, 3+9=12 is also a whole number.
 
1 and 8 are two whole numbers then, 1×8=8 is also a whole number.
Important!
The result of the subtraction and division is not always a whole number. If \(a\) and \(b\) are two whole numbers, then ab and a÷b is not always a whole number.
Example:
i) 93=6 is a whole number.
 
ii) 39=-6 is a negative number, not a whole number.
 
iii) 105=2 is a whole number.
 
iv) 39=0.333 is a decimal number, not a whole number.
Therefore the closure property of whole numbers states that while operating addition and multiplication with two or more whole numbers, the result of the operation is also a whole number.