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What are the definitions of integers?

Updated: 8/21/2019
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Integers are whole numbers that do not contain fractions or decimals

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Q: What are the definitions of integers?
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Related questions

Why does any two nonzero integers the product and the quotient have the same sign?

It follows from the definitions of the two operations.


Is zero a natrul number?

There are two conflicting definitions of a "natural number": these are "The set of positive integers", or "The set of non-negative integers".According to the first definition, the list of positive integers does not include 0. However, according to the second definition, this does include zero.


Why isn't 0 a whole number?

Actually it is. Well, it depends what definition of "whole number" you use. Some definitions include only positive integers, some use it as a synonym of "integers". Therefore, due to this ambiguity, the phrase "whole numbers" would better be avoided in math. Rather, use words or phrases like "integers", "positive integers", or "non-negative integers", to convey the exact meaning, without ambiguity.


Are negative integers considered whole numbers?

It depends. Some authors consider "Whole Numbers" to be the positive integers, some consider them to be the non-negative integers, and some consider them to be all integers. For the first two definitions, numbers like -3 would not be considered "whole numbers". With the last definition, negative numbers like -3 would be considered a "whole number".


Is 32 a rectangular number?

There is some disagreement. You can make a rectangle that is 4 x 8, but some definitions specify consecutive integers, which means 32 wouldn't qualify.


Is 48 a rectangular number?

There is some disagreement. You can make a rectangle that is 6 x 8, but some definitions specify consecutive integers, which means 48 wouldn't qualify.


Is there only one whole number that is not a natural number?

A "whole number" is called an integer < Lat. integer = whole.Natural numbers are sometimes defined as the positive integers and sometimes 0 is included in the definition. It depends on the situation whether or not 0 is considered a natural numbers (so there are two possible definitions of the natural numbers). Both definitions have pros and cons. None is "better" or "more correct" than the other.Your question, therefore, seems to center around the number 0.However, the answer is: no.Because all negative integers are not natural numbers. There are an infinite number of negative integers.Also, if you include Gaussian integers (which are of the form x + iy, where x and y are integers and i is the imaginary number), then all Gaussian integers with y 0 or x


What is the definitions of irrational number?

An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator.


When the negative integers the positive integers and 0 are combined the integers are formed?

Negative integers, zero and the positive integers, together form the set of integers.


Are the fractions 2436 and 1624 equivalent or not?

2436 and 1624 are integers, not fractions. And, as integers, they are unequal.2436 and 1624 are integers, not fractions. And, as integers, they are unequal.2436 and 1624 are integers, not fractions. And, as integers, they are unequal.2436 and 1624 are integers, not fractions. And, as integers, they are unequal.


Are there samples or definitions in this dictionary?

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