Best Answer

Yes. In fact, a number line would be full of an uncountably many infinite number of discontinuities (holes) without them and hence would not be a line, so in fact Irrational Numbers MUST be placed on the number line in order for it to exist.

User Avatar

Wiki User

โˆ™ 2015-06-04 18:06:01
This answer is:
User Avatar
Study guides

History study guides

1 card


See all cards
69 Reviews
More answers
User Avatar

Wiki User

โˆ™ 2015-02-01 18:49:49

Yes, they can.

User Avatar

Add your answer:

Earn +20 pts
Q: Can irrational numbers be placed on a number line?
Write your answer...
Still have questions?
magnify glass
Related questions

Can you represent an irrational number on a number line?

Irrational numbers can be graphed at a number line, but only as an estimation.

Does real number line correspond to an irrational number?

No. The real number line corresponds to rational AND irrational numbers.

Can irrational numbers represent on a number line?

No ,irrational no can not be represented on no line because it is not of the form p/

Is irrational numbers can be found on the number line?


Can irrational numbers go on a number line?


Did irrational numbers complete the number line?

Yes, they completed the [Real] number line.

Is a real number always irrational?

Real numbers can be rational or irrational because they both form the number line.

Is every irrational a real number. If Yes Why?

Yes irrational numbers are real numbers that are part of the number line,

Can all real numbers be irrational?

Irrational numbers are real numbers because they are part of the number line.

all numbers that can be written on the number line that include rational and irrational numbers?

That would be the real numbers.

Can irrational numbers cannot be represented by points on the real number line?

These number can also be represented on real line.

What is the meaning of the irrational number line?

There is no such thing as an irrational number line.

What four kinds of numbers can be graphed on a number line?

Integer, rational and irrational numner, real number

What is four irrational numbers closest to 3 on the number line?

e, √8, pi, √10

Does the number line feature both rational and irrational numbers?

It can do. It can feature only integers, if you like.

Can rational numbers be placed on the number line?

well every integer fraction whole number natural number are rational number's surely rational numbers are represented on a number line and as rational numbers are the real numbers

Is the number line a graph of rational numbers?

The number line includes all rational numbers but also has irrational ones. It is the REAL number line. The square root of non-perfect squares are on it and pi is also on it and they are not rational.

What is four irrational numbers closest to 6 on the number line?

Irrational numbers are infinitely dense. Between any two numbers, there are infinitely many irrational numbers. So if it was claimed that some irrational, x, was the closest irrational to 6, it is possible to find an infinite number of irrationals between 6 and x. Each one of these infinite number of irrationals would be closer to 6 than x. So the search for the nearest irrational must fail.

Can an irrational number be represented on a number line?

Not normally because an irrational number can't be expressed as a fraction which can be represented on the number line.

Explain what opposite numbers are?

They are the numbers that are placed on a number line that are exact same distance away from 0

A real number that is not rational?

Real numbers are any numbers that could be on a number line. Rational numbers are numbers that can be expressed as fractions. Real irrational numbers are things like pi or the square root of 2.

Why converting decimals to fractions using number line is difficult?

Because some decimal numbers can't be converted into fractions if they are irrational numbers.

Define and give example of irrational numbers?

an irrational number is any real number that cannot be expressed as a ratio a/b, where a and bare integers, with b nonzero, and is therefore not a rational number.Informally, this means that an irrational number cannot be represented as a simple fraction. Irrational numbers are those real numbers that cannot be represented as terminating or repeating decimals. As a consequence of Cantor's proof that the real numbers are uncountable (and the rationals countable) it follows that almost all real numbers are irrational.[1]When the ratio of lengths of two line segments is irrational, the line segments are also described as being incommensurable By Paul Philip S. Panis

What is a set of numbers placed at fixed distances?

It could be a ruler. Just a number line.

Does every point on the real number line correspond to an irrational number?

No. It could be a rational or an irrational