Relating to the line generally graduated at the integer points but representing the entire real number system, increasing from left to right.
Questions tagged [number-line]
27 questions
21
votes
5 answers
Where will irrationals fit on the number line?
Now this might be a very dumb question but this has been bothering me from some days.
Imagine I want to create the real number line and for that I start with the rational numbers. So I start to put the numbers on the line (like toppings on a pizza).…
Ankit
- 730
- 6
- 18
14
votes
5 answers
Is there a dense subset of the rationals (between 0 and 1) that doesn't include its midpoints?
Is there a subset $S$ of the rationals between 0 and 1 $S \subset \mathbb{Q} \cap[0,1] \stackrel{\text{def}}= [0,1]_\mathbb{Q}$ such that
is dense in $[0,1]_\mathbb{Q}$, in the sense that $\forall q_1, q_2 \in [0,1]_\mathbb{Q}, q_1
Nicola Sap
- 331
12
votes
4 answers
Convert numbers between 0 and infinity to numbers between 0.0 and 1.0
Can we arrange all numbers x; such that x lies between 0 and Infinity, between 0 and 1? The scale does not have to be linear, but for any a and b in x, where a <= b, then a' and b', the equivalent numbers on the new scale must also be such that: a'…
gbenroscience
- 265
5
votes
1 answer
Do right-to-left readers also reverse mathematical concepts like number line?
I come from a culture which uses left-to-right language. In my mind, the following is true:
On number line, negative numbers are to the left of 0, positive are to the right.
In Cartesian coordinate system, X axis points to the right (same as number…
Ivan Koshelev
- 259
4
votes
2 answers
Why can't we have a third number line for dividing by zero?
Originally, taking the square root of a negative number wasn't possible, but then Rafael Bombelli added an imaginary number axis to allow that. Why, then, is there no 3rd dimensional number line to allow division by 0? If there was, you could create…
4
votes
1 answer
Finding a value on a number line?
I came across this question:
On the number line the tick marks are equally spaced which of the lettered points represent $y$
The solution says it is $D$ but I think it is $E$.
Explanation
The average $\frac{x+y}{2}$ shows it is the midpoint of…
Socre
- 569
3
votes
1 answer
Validity and precedent of considering the real number line as a circle where positive infinity and negative infinity are the same number
It occurred to me that there are some situations (e.g. division by 0 and the tan function) where the two limits of a value, approached from below and above, are negative infinity and positive infinity. And that perhaps instead of viewing negative…
Step Start
- 141
2
votes
5 answers
Is there a recognized concept in mathematics to number systems that have an absolute value less than zero?
Number line of real numbers can be represented as a 1-dimensional line of typically horizontal axis with zero being the origin. In this kind of representation, imaginary numbers would typically reside on the vertical axis, reaching to infinity in…
el Miquel
- 31
2
votes
2 answers
Imagining hyper reals in non-standard analysis
I have heard this stuff called non-standard analysis. It introduces hyper reals $-$ an extension to real numbers $-$ to deal with infinitesimals. Now if you extend the real number line, how do you extend it? Shall we create another coordinate on $y$…
Joe
- 599
1
vote
3 answers
How to solve this problem on the number line?
I have been having a lot of trouble trying to solve this problem,
I have tried to work with some numbers, but I find many ways to do it, I do not arrive at anything concrete.
According to the information given in the attached number line, which of…
Pamela
- 31
1
vote
0 answers
Number line plotting intervals with unique/non-repeating multiples
The problem:
Imagine you had a number line from 0 to infinity and plots will be made on that line based on unique plotting intervals (ex. every
$16.5x$). What are the maximum amount of plotting intervals that can be used in conjunction without…
Random Dude
- 11
1
vote
1 answer
Simple arithmetic in Set Theory
For example if I plot number line and add $0 + 12$, then subtract $12 -12$ (if I wrote this in one line it would be: $(0+12)-12$), how it would be implemented in set theory? $A = \{x \in R\ |\ x \in [0,12]\}$ $([0] \cup A]) \setminus A = \emptyset$?…
Даниил Шило
- 13
1
vote
1 answer
What is the reasoning behind this way to determine the accuracy of a drawn number line?
Say I have a very large piece of paper, and I draw a number line on it. The integers are marked $10^{18}$ meters apart. The drawing instrument can make lines $10^{-7}$ meters thick. The book I'm reading says we can only distinguish between two…
mbit
- 11
1
vote
2 answers
Why left side is negative on Number line?
Yeah, probably it is a stupid question If so sorry about that. But I wonder why left side is negative on number line and who had proofed that?
Anonim
- 33
1
vote
1 answer
Number Line and Number Representation
While observing the typical number representation theory I came up with this weird observation. While we represent the higher order of exponents towards the right side of the number line representing numbers we follow opposite, i.e., higher order…
user3345621
- 21
- 1