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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.

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9y ago
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9y ago

Yes, they can.

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Q: Can irrational numbers be placed on a number line?
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Continue Learning about Basic Math

What is the meaning of the irrational number line?

There is no such thing as an irrational number line.


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


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.


In a short explanation what is the real number system?

Real numbers are numbers that can be found on the number line. This includes both the rational and irrational numbers. The Real Numbers did not have a name before Imaginary Numbers were thought of. They got called "Real" because they were not Imaginary.


Are irrational numbers cannot be represented on a number line?

Irrational numbers can be represented on a number line. For example, to graph the square root of two, draw a line of 1 unit (1 unit = the distance between the points of two whole numbers) from -1 which is perpendicular to the number line. Then, using a compass, place the pointy end on 0, the pencil tip on the end of the drawn line that is not touching the number line and drawing an arc so that it hits the number line on the positive side. Draw a point at where the arc meets the number line. That point is the square root of 2. This works because of Pythagoras theorem (a2+b2=c2, 12+12=22).

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/


Can irrational numbers go on a number line?

Yes.


Is irrational numbers can be found on the number line?

yes


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,


Is every irrational number also real?

Yes, every irrational number is also a real number. Real numbers include all the numbers on the number line, which consists of both rational and irrational numbers. Rational numbers can be expressed as fractions, whereas irrational numbers cannot be expressed as simple fractions. So, while all irrational numbers are real numbers, not all real numbers are irrational—some are rational.


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.