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How can you tell what numbers are irrational?
A number is said to be irrational if the number is non -repeating and non-terminating.
Does a banker use irrational numbers?
No. At least, not for his work in the bank. Ans 2. Alan Greenspan said that the numbers that bankers used to cobble together investment products were based on "irrational exuberance". The numbers on which toxic mortgages were based were irrational by any standards.
Is 18 rational or irrational?
irrational
Can the product of a whole number and an irrational number be a rational number?
Most children learn about Pi and square roots somewhere during the middle school. They may hear said 'irrational number' and some even remember the phrase, but very few really understand what it means. Well, irrational numbers are harder to understand than rational numbers, but I consider it worth the time and effort because they have some fascinating properties. I just have to wonder in awe when I see the facts laid in front of me because it all sounds unbelievable, yet proven true.To study irrational numbers one has to first understand what are rational numbers. In short they are whole numbers, fractions, and decimals - the numbers we use in our daily lives.
Is the square root of -17 a rational or irrational number?
The square root of 17 is an irrational number. The square root of any number (with the exception of perfect squares, of course) is an irrational number. A rational number is any number that can be represented as a fraction (or ratio, hence the name). So take two numbers, say p and q, whose greatest common factor is 1, and put p over q: p / q. For instance, 0.1 is a rational number, because it can be represented as 1/10. The same can be said for 0.25, 0.190329, and even integers such as 5 (written as 5/1). Irrational numbers can't be expressed as fractions, or ratios, hence their name - it has nothing to do with the sanity of a number! As has been proven elsewhere, pi (3.14159265...) is irrational, as is Euler's number (e). And of course, as I said above, the square root of any number that is not a perfect square is an irrational number.
How can you tell what numbers are irrational?
A number is said to be irrational if the number is non -repeating and non-terminating.
Is There fewer rational numbers than irrational numbers.?
Yes. The infinity of rational numbers has the same size as the natural numbers, said to be "countable". The infinity of real numbers (and therefore, also of irrational numbers) is a larger infinity, said to be "uncountable".
Does a banker use irrational numbers?
No. At least, not for his work in the bank. Ans 2. Alan Greenspan said that the numbers that bankers used to cobble together investment products were based on "irrational exuberance". The numbers on which toxic mortgages were based were irrational by any standards.
Is 18 rational or irrational?
irrational
Can the product of a whole number and an irrational number be a rational number?
Most children learn about Pi and square roots somewhere during the middle school. They may hear said 'irrational number' and some even remember the phrase, but very few really understand what it means. Well, irrational numbers are harder to understand than rational numbers, but I consider it worth the time and effort because they have some fascinating properties. I just have to wonder in awe when I see the facts laid in front of me because it all sounds unbelievable, yet proven true.To study irrational numbers one has to first understand what are rational numbers. In short they are whole numbers, fractions, and decimals - the numbers we use in our daily lives.
Is the square root of -17 a rational or irrational number?
The square root of 17 is an irrational number. The square root of any number (with the exception of perfect squares, of course) is an irrational number. A rational number is any number that can be represented as a fraction (or ratio, hence the name). So take two numbers, say p and q, whose greatest common factor is 1, and put p over q: p / q. For instance, 0.1 is a rational number, because it can be represented as 1/10. The same can be said for 0.25, 0.190329, and even integers such as 5 (written as 5/1). Irrational numbers can't be expressed as fractions, or ratios, hence their name - it has nothing to do with the sanity of a number! As has been proven elsewhere, pi (3.14159265...) is irrational, as is Euler's number (e). And of course, as I said above, the square root of any number that is not a perfect square is an irrational number.
Why is it difficult to find even prime numbers?
even numbers are 2.4,6,8,10,12,14,16,18,20. if you skip count by two you will know what an even number is,and ther is more numbers than what i said
Is the square root of 254 irrational?
The square root of 254 can be said to be irrational.
Are there more rational than irrational numbers?
The answer requires a bit of mathematics, but goes like this:The product of any 2 rational numbers is a rational number.The product of any 2 irrational number is an irrational number.The product of a rational and an irrational number is an irrational number!Therefore simple logic tells us that there are more irrational numbers than rational numbers. There is a way to structure this mathematically, and I believe it is called an "Inductive Proof".Interesting !I'm going to say "No".I reason thusly:-- For every rational number 'N', you can multiply or divide it by 'e', add it to 'e',or subtract it from 'e', and the result is irrational.-- You can multiply or divide it by (pi), add it to (pi), or subtract it from (pi),and the result is irrational.-- You can take its square root, and more times than not, its square root is irrational.There may be others that didn't occur to me just now. But even if there aren't,here are a bunch of irrational numbers that you can make from every rational one.This leads me to believe that there are more irrational numbers than rational ones.-------------------------------------------------------------------------------------------------------There are infinitely many more irrationals than rationals; this was proved by G. Cantor (born 1845, died 1918). His proof is basically:The rational numbers can be listed by assigning to each of the counting numbers (1, 2, 3,...) one of the rational numbers in such a way that every rational number is assigned to at least one counting number;If it is assumed that every irrational number can be assigned to at least one counting numbers (like the rationals), then with such a list it is possible to find an irrational number that is not on the list; so is it not possible as there are more irrationals than there are counting numbers, which has shown to be the same size as the rational numbers, thus showing that there are more irrationals than rationals.
Who is the inventor of irrational numbers?
An ancient Greek mathematician in the era of Pythagoras is said to have been murdered by his fellow secret society members for discovering the (now well-known) proof that square root of 2 is irrational.
She lied for years never said sorry and never admit even when caught?
and you are lying to yourself that she will change.
What is the difference between rational numbers and irrational numbers?
An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.A rational number is defined to be a number that can be expressed as the ratio of two integers. An irrational number is any real number that is not rational. A rational number is a number that can be expressed as a fraction. An irrational number is one that can not.Some examples of rational numbers would be 5, 1.234, 5/3, or -3Some examples of irrational numbers would be π, the square root of 2, the golden ratio, or the square root of 3.A rational number is a number that either has a finite end or a repeating end, such as .35 or 1/9 (which is .1111111 repeating).An irrational number has an infinite set of numbers after the decimal that never repeat, such a the square root of 2 or pi.A rational number is one that can be expressed as a ratio of two integers, x and y (y not 0). An irrational number is one that cannot be expressed in such a form.In terms of decimal numbers, a rational number has a decimal representation that is terminating or [infinitely] recurring. The decimal representation for an irrational is neither terminating nor recurring. (Recurring decimals are also known as repeating decimals.)A rational number is a number that can be expressed as a fraction. An irrational number is one that can not.Some examples of rational numbers would be 5, 1.234, 5/3, or -3Some examples of irrational numbers would be π, the square root of 2, the golden ratio, or the square root of 3.An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.A rational number can be represented by a ratio of whole numbers. An irrational number cannot. There are many more irrational numbers than there are rational numbersRational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.A rational number can be expressed as a fraction, with integers in the numerator and the denominator. An irrational number can't be expressed in that way. Examples of irrational numbers are most square roots, cubic roots, etc., the number pi, and the number e.A rational number can always be written as a fractionwith whole numbers on the top and bottom.An irrational number can't.A rational number can always be written as a fraction with whole numbers on top and bottom.An irrational number can't.Any number that you can completely write down, with digits and a decimal pointor a fraction bar if you need them, is a rational number.A rational number can be expressed as a fraction whereas an irrational can not be expressed as a fraction.Just look at the definition of a rational number. A rational number is one that can be expressed as a fraction, with integers (whole numbers) in the numerator and the denominator. Those numbers that can't be expressed that way - for example, the square root of 2 - are said to be irrational.A rational number is any number that can be written as a ratio or fraction. If the decimal representation is finite orhas a repeating set of decimals, the number is rational.Irrational numbers cannot be reached by any finite use of the operators +,-, / and *. These numbers include square roots of non-square numbers, e.g.√2.Irrational numbers have decimal representations that never end or repeat.Transcendental numbers are different again - they are irrational, but cannot be expressed even with square roots or other 'integer exponentiation'. They are the numbers in between the numbers between the numbers between the integers. Famous examples includee or pi (π).By definition: a rational number can be expressed as a ratio of two integers, the second of which is not zero. An irrational cannot be so expressed.One consequence is that a rational number can be expressed as a terminating or infinitely recurring decimal whereas an irrational cannot.This consequence is valid whatever INTEGER base you happen to select: decimal, binary, octal, hexadecimal or any other - although for non-decimal bases, you will have the "binary point" or "octal point" in place of the decimal point and so on.A rational number can be expressed as a fraction whereas an irrational number can't be expressed as a fractionRational numbers can be expressed as a ratio of two integers, x/y, where y is not 0. Conventionally, y is taken to be greater than 0 but that is not an essential element of the definition. An irrational number is one for which such a pair of integers does not exist.Rational numbers can be expressed as one integer over another integer (a "ratio" of the two integers) whereas irrational numbers cannot.Also, the decimal representation ofa rational number will either: terminate (eg 31/250 = 0.124); orgo on forever repeating a sequence of digits at the end (eg 41/330 = 0.1242424... [the 24 repeats]);whereas an irrational number will not terminate, nor will there be a repeating sequence of digits at the end (eg π = 3.14159265.... [no sequence repeats]).Rational numbers are numbers that keeps on going non-stop, for example pie. Irrational numbers end. Its as simple as that! Improved Answer:-Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions.a rational number can be expressed as a fraction in the form a/b (ie as a fraction).a irrational number cannot be expressed as a fraction (e.g. pi, square root of 2 etc)Rational numbers can be represented as fractions.That is to say, if we can write the number as a/b where a and b are any two integers and b is not zero. If we cannot do this, then the number is irrational.For example, .5 is a rational number because we can write it as 5/10=1/2The square root of 2 is irrational because there do not exist integers a and b suchthat square root of 2 equals a/b.Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions.
