Question

If is an integer is 2 an integer? Is +2an integer? Is −2 an integer? Is ÷2 an integer?

What property does this illustrate?

Please focus on the what does it illustrate part thank you :)

Answer 1

This illustrates the property of integers, which states that integers include both positive and negative whole numbers, but not fractions or decimals. Integers are a subset of the real numbers that include all whole numbers and their opposites.

Explanation:

Put it in your own words because they do check for plagiarism.

Answer 2

yes

yes

yes

sometimes

closure property of integer under the 4 operations

Explanation:

I think this is the question:

If x is an integer is 2x an integer?

Is x + 2 an integer?

Is x − 2 an integer?

Is x ÷ 2 an integer?

What property does this illustrate?

Answer:

If x is an integer is 2x an integer? Yes

If x is an integer, then 2x is an integer. 2 is an integer. Multiplying an integer by another integer always results in an integer.

Is x + 2 an integer? Yes

The sum of two integers is always an integer.

Is x − 2 an integer? Yes

The difference of two integers is always an integer.

Is x ÷ 2 an integer? Yes for some values of x, but not for all values of x.

The property these questions illustrate is the closure property.

The closure property applies to addition, subtraction, and multiplication of integers. That means that if you add two integers, find the difference between two integers, or multiply two integers, the answer is an integer.

There is no closure property of integers under division because when you divide an integer by another integer, you do not always get an integer quotient.