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Why every nonempty subset of the negative integers has a greatest element?
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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.
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
What element has the most negative electron affinity Al Si S Cl?
The element with the greatest electronegativity in this scenario would be Cl or Chlorine.
What is a set of numbers that includes 1 but not zero?
The set of positive integers contains 1 but not zero. Within the set of integers, there is the subset of positive integers, the subset of negative integers and the subset with a single element in it - zero. There are a zillion other sets that could be specified that meet the conditions set down in the question. The one cited is an easy one.
If a number is an element of the set of the rational numbers is it also an element of the set of integers?
No.
The element that has the greatest electromagnetivity is?
The element that has the greatest electromagnetivity is Flourine, F, with 3.98.
If a number is a element of the set or rational numbers is ig also an element of the set of integers?
That is not true.
Is set of integers is a group under multiplication?
No. One of the group axioms is that each element must have an inverse element. This is not the case with integers. In other words, you can't solve an equation like: 5 times "n" = 1 in the set of integers.
Is 0 an element of I the set of integers true or false?
It is true.
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
If an element is missing one electron... is it a positive ion negative ion different element or different isotope?
If an element is missing one electron, which is defined as having a negative charge, then the element is a positively charged ion. If an element gains an extra electron, it will have a negative charge and be a negative ion. An element with an equal number of positively charged protons and negatively charged electrons is considered to be a neutral element (in other words, no charge). By the way, no charge for this answer!
Which element can form a negative ion of the type X3?
every element
