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We use Q for Rationals... which is repreentative of Quocentia (Quotient), since rationals are RATIOs or fractions.

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Q: Why do we use Z and Q to represent integers?
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How can you represent how the sets of whole numbers integers and rational numbers are related to each other?

Whole numbers and integers are identical sets. Both are proper subsets of rational numbers.If Z is the set of all integers, and Z+ the set of all positive integers then Q, the set of all rational numbers, is equivalent to the Cartesian product of Z and Z+.


Why do you use Q for rational numbers and Z for integers?

The letters stand for the German Quotient and Zahlen.


Why integers represented by capital Z?

we represent the letter Z in our sets of numbers. for eg:- Z= 1,7,2,8,3,9,4,5,6


What represents fractions?

Q represents the set of all rational numbers, Zrepresents the set of all integers so Q excluding Z, represents all rationals that are not integers.


Is the divides relation on the set of positive integers transitive?

Yes. Suppose x divides y then there exist an integer p such that y = px. Suppose y divides z then there exist an integer q such that z = qy. Therefore z = q*px = qp*x Since p and q are integers then pq is an integer and therefore x divides z. That is to say: if x divides y and y divides z, then x divides z.


Why you represent set of integers by Z instead of A?

Z, or more commonly denoted, ℤ (double line), is just the standard set mathematicians use to hold the set of all integers. Not everything stems from English, and in this case, the "Z" comes from the word "die Zahlen", which is the German plural word for numbers.


Which set of numbers do -5 belong?

Integers. (This includes negative whole numbers.)


What is the symbol used to represent a set of integers?

It is Z, except that the font used is not one of the standard ones.


Why do we denote integers as z?

'z' is used to denote integers in german. 'z' denotes zahlen


Why integer is denoted by z?

An integer can be denotated by any letter. Teachers/professors may use different letters as a means to represent on a graph (i.e. x,y,z axis), but there is usually no real meaning behind why the letter 'z' was chosen over 'q'.


Why do you use the letter z to represent integer numbers?

why an set of integer denoted by z


What is the letter that represents integers?

Z.