Addition and multiplication on whole numbers follow the property of closure, but subtraction and division do not follow. Explain with example.
When we perform the arithmetic operations, addition and multiplication on whole numbers, the result is always a whole number. But when subtraction and division are performed on whole numbers the result would not be whole numbers always.
For e.g. Let us take two numbers as 12 and 16.
Addition: 12 + 16 = 28, 28 is a whole number.
Multiplication: 12 × 16 = 192; 192 is a whole number.
Silimilarly for any whole numbers the result of addition and multiplication will be whole numbers.
Subtraction: 16 - 12 = 4, 4 is a whole number
But 12 - 16 = -4, -4 is not a whole number.
Division: 16÷12 = 1.33, this is again not a whole number.
We can see, that subtraction and division performed on whole numbers can result in deicmals or negative numbers which are not whole numbers.
When we perform the arithmetic operations, addition and multiplication on whole numbers, the result is always a whole number. But when subtraction and division are performed on whole numbers the result would not be whole numbers always.
For e.g. Let us take two numbers as 12 and 16.
Addition: 12 + 16 = 28, 28 is a whole number.
Multiplication: 12 × 16 = 192; 192 is a whole number.
Silimilarly for any whole numbers the result of addition and multiplication will be whole numbers.
Subtraction: 16 - 12 = 4, 4 is a whole number
But 12 - 16 = -4, -4 is not a whole number.
Division: 16÷12 = 1.33, this is again not a whole number.
We can see, that subtraction and division performed on whole numbers can result in deicmals or negative numbers which are not whole numbers.
