Question

Which of the following statements is true?

• A. All the integers follow the closure property for multiplication
• B. Only positive integers follow the closure property for multiplication
• C. Only negative integers follow the closure property for multiplication
• D. Integers are not closed under multiplication

Answer 1

The correct option is A

All the integers follow the closure property for multiplication

If the operands and the result of an operation belong to the same number family, then the number family is said to be closed for that operation.

Integer $\times$ Integer = Integer is always true.
Hence, integers are closed for multiplication.

For example, $-4\times 5=-20$
Here all the three numbers, $(-4),5\text{and}(-20)$ are integers.