Question

What is the difference between a number and a numeral?

Answer 1

ones arabic and the other is romantic

Answer 2

so I'm gonna invent the agdgdgdgwngocimal numeral system with the symbols ~`!@#$%^&*, with ~ being equal to the number 0, with

Answer 3

so ~ is a numeral?

Answer 4

a numeral is the symbol of a number, as i see it

Answer 5

we have roman numerals

Answer 6

number would be an attribute; there are three of them in number, whereas there are 3 of them

Answer 7

alright. what makes a particular system of numerals more useful than another? Why use binary when dealing with computers instead of decimal? Why go from roman numerals to decimals in the first place? Why not use simple tally marks instead of the decimal system?

Answer 8

all numerals represent a number; but not all numbers can be represented by a numberal ... maybe

Answer 9

the usefulness of a system just depends on its application. and what properties that arise from it

Answer 10

The difference is sort of like the difference between a person and his
name. You are a person, and there is just one of you. But different
people probably call you by different names. Your name isn't you, but
it represents you.

In the same way, a number is a thing that we talk about in math, such
as "three," which is hard to define exactly. I might say it's the
abstract property or "threeness" that is shared by any set of three
things. A numeral, on the other hand, is any name or symbol for that
number, such as "3" or "III" or "11 (binary)" or whatever animal face
is used to represent a three in Mayan carvings. You can't see a three,
but you can see things that can be described by the number 3, and you
can see the numeral "3" that is used to represent it.

We have to be careful sometimes not to confuse the numeral with the
number. For example, a numeral "12" may have two digits, but the number
12 could be represented by numerals with other numbers of digits, or by
numerals where the concept of digit is meaningless. We often get
questions like "are there any numbers after a trillion?" when people
really mean, "are there any names for numbers bigger than a trillion?"
Similarly, the fact that no one can ever write out the numeral for the
number we call "pi" completely doesn't mean the number doesn't exist!

On the other hand, we do often use the word "number" to mean "numeral"
when it isn't important to make that distinction. I don't get upset if
someone says he's writing a number, when it's really a numeral he
wrote.

Answer 11

you can tell thats a copy paste ....

Answer 12

its kinda like saying; shutup and read a book ...

Answer 13

so the numeral 12, represents the number 12, which may be expressed by the hexadecimal numeral c?

Answer 14

why are you guys talking so much about something that trivial that will never be on an exam.

Answer 15

becasue there is more to life than an exam

Answer 16

There's more to life than medicine, and girls, and exams

Answer 17

the numeral 12 does not represent the number 12; it represents the number of twelve.

Answer 18

oh, the number OF twelve.... I get it!

Answer 19

life is more importand then exam elecenginner

Answer 20

just as the color red, represent the concept of "being red"

Answer 21

so numbers are just abstract stuff which represent magnitude?

Answer 22

magnitude is one aspect yes

Answer 23

What other aspects are there in a number?

Answer 24

none that i can think of at the moment, but im sure that it is more encompassing than quantity :)

Answer 25

in binary, on and off

Answer 26

good good, on and off

Answer 27

what about sign? what magnitude does zero represent? what magnitude does i represent? what about infinity?

Answer 28

sign is a way to express direction from an arbitrary origin

Answer 29

zero represent that arbitrary origin :)

Answer 30

I thought zero represented void

Answer 31

i represents a set that uses a fuller potential of number than the reals do

Answer 32

zero represents someplace to start; start from zero and you can express any number by writing it as a numeral a certain distance and direction from it

Answer 33

zero is not a void, null is a void

Answer 34

zero is like "clear" is to color. its a reality. whereas a void is the absence of all

Answer 35

Oh I get it now

Answer 36

Or maybe I don't... :(

Answer 37

or maybe you will :)

Answer 38

:)

Answer 39

i have 0 kids with me, does not mean that I have no kids.

Answer 40

so what's the difference

Answer 41

the difference between having no money, and there being no existience of money

Answer 42

So how do we represent void in math?

Answer 43

just nothing

Answer 44

ø

Answer 45

phi?

Answer 46

\[NULL =\phi\]

Answer 47

phi = ϕ

null = Ø

Answer 48

so NULL is not a number?

Answer 49

is 0 a numeral for the number zero
and ø a numeral for no numbers

Answer 50

no,it means there is a collection,although there is nothing in it,but it's not void

Answer 51

What is the difference between \[\{\}\text{ and }\phi\]

Answer 52

in discrete mathematics,Ø means zero

Answer 53

but I thought it meant void

Answer 54

it means void,but it isn't void

Answer 55

lol

Answer 56

it's hard for a foreigner to express something in another language:/

Answer 57

paradox O.o do your best explaining how something that means or represents void is not void :-D

Answer 58

so i just said"just nothing"

Answer 59

if you need it to represent void,that's unkle's answer