Question

Whole numbers are closed under ____ and ___ operation​

Answer 1

addition and multiplication.

Two whole numbers add up to give another whole number. This is the closure property of the whole numbers. It means that the whole numbers are closed under addition and multiplication.

Answer 2

Whole numbers are closed under addition and multiplication operations.

Explanation:

• According to the Closure property, The Whole numbers are closed under addition and also under multiplication.
• It holds for addition and multiplication of whole numbers.
• Closure property of whole numbers under addition: The sum of any two whole numbers will always be a whole number, i.e. if a and b are any two whole numbers, so a + b will also be a whole number.
• Closure property of whole numbers under subtraction: The difference between any two whole numbers may or may not be a whole number. Thus, the whole numbers are not closed under subtraction.
• Closure property of whole numbers under multiplication: Any two whole numbers product will be a whole number like if a and b are any two whole numbers, so ab will also be a whole number.
• Closure property of whole numbers under division: Division of whole numbers doesn’t follow the closure property as the quotient of any two whole numbers a and b, may or may not be a whole number.

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