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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
Is -23 a rational or an irrational number?
-23 is rational.
It is rational because we can write it as a fraction (one integer divided by another) where the denominator is not equal to 0. For example, -23/1. This makes it rational.
Can you multiply an irrational number times an irrational number and get a rational number?
Well, (pi) x (1/pi) = 1 .
Is six a rational or irrational number?
A rational number is an integer (a whole number) or any number that can be expressed as a fraction.
An irrational number is one that cannot be expressed as a fraction. The best known irrational number is pi, which is close to but not quite equal to 7/22. All representations of pi are an approximation of the real value.
So 6 is a rational number
Why irrational numbers denoted by Q'?
Irrational numbers may be denoted by Q' since they are the complement of Q in R, the set of Real numbers.
What are the number of firms in the market?
There are many stock markets around the world, with 18 internationally referenced exchanges and many other local and commodity-based exchanges. For example, there are approximately 2300 listed companies on the New York Stock Exchange as of July 6, 2011.
What is 3 3 3 3 3 3 3 3 3 3 times 47 divided by 14.8?
(3333333333*47)/14.8 = 1.058558558*1010 in scientific notation
What are the two closest integers for each irrational number?
They are the integer part of the irrational number and the successor to that integer. Thus, for pi, the two integers are 3 and 4.
it is a rational number. since it is a perfect square and a non recurring decimal
How are rational numbers different than irrational numbers?
- The number 8 is a rational number because it can be written as the fraction 8/1.
- Likewise, 3/4 is a rational number because it can be written as a fraction.
- Even a big, clunky fraction like 7,324,908/56,003,492 is rational, simply because it can be written as a fraction.
Every whole number is a rational number, because any whole number can be written as a fraction. For example, 4 can be written as 4/1, 65 can be written as 65/1, and 3,867 can be written as 3,867/1.
Irrational NumbersAll numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction.An irrational number has endless non-repeating digits to the right of the decimal point. Here are some irrational numbers:π = 3.141592… = 1.414213…
Although irrational numbers are not often used in daily life, they do exist on the number line. In fact, between 0 and 1 on the number line, there are an infinite number of irrational numbers!
What is a definition for an irrational number?
It is a real number that cannot be expressed as a ratio of two integers, a/b (where b>0).
What is an irrational number between 6 and 7?
An example of an irrational number between 6 and 7 is the square root of 40, which is approximately 6.3246. Another example is the number π (pi) minus 3, which is approximately 6.1416. Both of these numbers cannot be expressed as a simple fraction, making them irrational.
Is the square root of 24 irrational?
Yes, the square root of 24 is irrational. This is because 24 cannot be expressed as a perfect square, and its prime factorization (2^3 × 3) does not allow for a complete pair of prime factors. Therefore, √24 simplifies to 2√6, which is also irrational.
What is the product of a rational and irrational number?
It is usually irrational but it can be rational if the ration number in the pair is zero. So the correct answer is "either".
