Choose the statement that is true.

• Integers are closed under multiplication but not under division.
• Integers are closed under division but not under multiplication.
• Integers are closed under both multiplication and division.
• Integers are closed neither under multiplication nor under division.

Solution:

Integers are "closed" under addition, multiplication and subtraction, but NOT under division

Example: $9 \div 2 = 4\frac{1}{2}$which is not an integer.

So the Answer is first option .
Integers are closed under multiplication but not under division.

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Updated on: 10-Oct-2022

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