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Irrational Numbers

An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. While their existence was once kept secret from the public for philosophical reasons, they are now well accepted, yet still surprisingly hard to prove on an individual basis. Please post all questions about irrational numbers, including the famous examples of π, e, and √2, into this category.

3,962 Questions

What are the characteristics of numbers?

if anybody knows that what

are the

characteristics of

numbers

plz

plz tell me in

short

form thank u

What 2 perfect square roots is 4.123105617661between?

4.123105617661 is in between 4 and 5.

Therefore it is between the square root of 16 (which is 4) and the square root of 25 (which is 5)

What is the difference of a rational and irrational number?

A rational number is a real number that can be expressed as a ratio of two integers; an irrational number cannot be so expressed.

When do you use irrational numbers?

exponential functions, circles (area, perimeter, etc.), round objects in general (circle, sphere, hypersphere, etc.

Is 53672. an irrational number?

No. It can be written as a fraction (53672/1) so it is a rational number.

Is 1.479251373 rational or irrational?

1.479251373 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Is -0.563 an irrational number?

-0.563 is the ratio of -563 to 1,000, and also the ratio of 1,126 to -2,000, and also

the ratio of -2,815 to 5,000, and also the ratio of -3,941 to 7,000, and also an infinite

number of other ratios of whole numbers. Any one of them is enough to prove that

-0.563 is rational.

What is the difference between writing a number in exponential form than repeated multiplication?

The exponential form is easier and faster to write, easier to read, easier to tell
other people about, and easier to spot the mistake if somebody copies it wrong.