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What are the three categories of integers?
The set of integers is divided into three subsets. One is the positive integers. Another is the negative integers. The last subset has one element -- zero. In sum, integers are composed of the positive integers, the negative integers, and zero.
Is zero an element of all integers?
Yes.....0 is an element of all integers Integers can be thought of as points on an infinitely long number line
If a number is an element of the set of the rational numbers is it also an element of the set of integers?
No.
Is a negative number an integer?
Integers are all of the real numbers that can be written without using a decimal or a fraction; i.e, they're the set of all positive and negative whole numbers plus zero.Integers have the following properties:i) 0 exists, and is the additive identity element; 0 + a = a for all a.ii) 1 exists, and is the multiplicative identity element; 1a = a for all a.iii) Addition and multiplication are both associative and commutative.iv) An additive inverse exists for all elements a, denoted as -a.v) Distributivity.vi) Adding or multiplying two integers yields another integer.From iv), we know that for each a > 0, there exists an additive inverse, -a, which must be less than 0, hence a negative number.So, there are integers that are negative numbers.But, not every negative number is an integer. There are negative numbers that must be expressed as a decimal or a fraction. For example, -0.5 isn't an integer, because, were you to not write it as a decimal, you would have to write it as a fraction: -1/2
Which element has the greatest average atomic mass?
Ununoctium.
