0
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
This is typically done by importing math.h, and calling the sqrt function.
Is 0.46253 an irrational number?
0.46253 is rational.
We get questions like this all the time. That worries us, because it's obvious
that a lot of people have no idea how to spot a rational number. It's apparently
not being taught too well.
How irrational number is being used in the world around us and in your every day life?
There are very many uses for irrational numbers. A square, whose sides are a rational number, will have a diagonal of irrational length. The diagonals of most rectangles, with rational sides, will be irrational. The circumference and area of a circle (or ellipse) is related to pi, an irrational number. In the same way that pi is central to geometry, another irrational number, e, is fundamental to advanced calculus.
Can the difference of two rational numbers can be irrational?
No irrational numbers don't have patterns and cant be expressed as a ratio so you cant even subtract the number.
Ex: 22/7 - sqrt(2), you wont be able to find the difference since you cant even put it in a complete number.
What all set of number contain 0.5?
Any set that contains it!
It belongs to {0.5},
or {45, sqrt(2), 0.5, pi, -3/7},
or multiples of 0.5,
or square roots of 0.25,
or counting numbers divided by 2,
or rational numbers,
or real numbers,
or complex numbers,
etc.
How are rational and irrational numbers used in everyday life?
Here's an idea: Actually TRY to think before you start asking the answers to your homework questions on here...
What are a lot of examples of rational numbers?
That's a tough question. I know what a rational number is,
but I don't know how many is 'a lot'.
Here are several:
- 1
- 2
- 2.71828
- 3
- 3.14159265
- 4
- 4.7
- 4.07
- 4.007
- 3/32
- 32/3
Here's a secret: ANY number that you can completely write down
on paper with digits is a rational number. Go to it !
Is -1.87652 rational or irrational?
All terminating or repeating decimals are rational. -1.87652 terminates so it is rational.
Why did they name this irrational number pi?
Because it is the ratio of the perimeter of a circle to its radius. pi is the Greek letter which is the first letter for perimeter.
No because 12 is a rational number that can be expressed as an improper fraction in the form of 12/1
You are trying to enter a serial number and the last symbol looks like a backward six?
Are you looking the serial right way up? Which way the '6' is facing? Is it mirrored or upside down?
It could be a letter like a little g or p or q or b or d. Or perhaps the surface of it is damaged and you see only partial of the letter/number. It could be a 0 damaged or an o. Or even an @ although that is not usually used in codes.
What is the irrational number for pi?
Since it's irrational, it can't be completely written down. In fact, NO
irrational number can ever be completely written down with digits.
Here's the beginning of pi:
3.141592653589792... It never ends.
Is irrational used in everyday english?
No, I can go a full week without using it. And I teach mathematics!
Are all integer irrational numbers?
No integers are irrational numbers. An integer is a whole number, positive or negative. This means they have no decimals or fractions. An irrational number, however, is a number with fractions or decimals. Therefor, there are no integers that are irrational numbers.
