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Why addition and multiplication follow the property of closure, but not subtraction and division? Explain with examples. [2 MARKS]


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Answer: Option A
:

Solution: 1 Mark
Example: 1 Mark
When we perform the arithmetic operations like addition and subtraction on whole numbers, the result is also a whole number. For e.g. Let us take two numbers as 12 and 16. When we perform addition,


12 + 16 = 28


When we perform multiplication,


12 × 16 = 192; the result of above operations is a whole number.


Whereas when we subtract these numbers, the result may or may not be a whole number.


E.g. 16 - 12 = 4, 4 is a whole number but 12 - 16 = -4, -4 is not a whole number.


Similarly, 16÷12 = 1.33, this is again not a whole number.



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