WRONG!!!!! Irrational numbers CANNOT be expressed as a quotient(fraction). Casually, irrational numbers are those were the decimals go to infinity AND there is no regular order in the decimal digits. e.g. pi = 3.1415192.... is Irrational 3.3333.... is rational.
NO!!! Think of all numbers as being rational except those decimal numbers that go to infinity AND the decimal digits are not in any regular order. pi ~ 3.141592.... is the most well known irrational number. Also he square roots of prime number. e.g. sqrt(2) = 1.414213562....
A Closed Circle means that that number is INCLUDED in the line of numbers. An OPEN circle means the line of numbers go up to the given number , BUT does NOT include the given number.
Rational, because it can be converted to a fraction . Let P = 0,353535....& 100P = 35.353535... Subtract 99P = 35.0 P = 35/99 This will not reduce any further. NB An IRRATIONAL number can be casually thought of as a decimal were the digits go to infinity , and there is no regular order in the digits. pi = 3.141592... is probably the most well known irrational number. Other irrational; numbers being the square root of prime numbers. e.g. sqrt(2) = 1.414213562....
'-3' is RATIONAL. IRRATIONAL numbers are those where the decimals go to inifinity AND there is no regular order in the decimal digits. e.g. pi = 3.141592..... is IRRATIONAL but 1/3 = 0.3333.... is RATIONAL. NB Both go to infinity, but '1/3' has the decimals in a regular order .
Because it's an irrational number, and that's what "irrational" means. There are lots of other irrational numbers, like the base of the natural logarithm e or the square root of 2.In fact, there are more irrational numbers than rational numbers. A lot more.Infinitely more, even. There are an infinite number of rational numbers, but the infinite number of irrational numbers is a higher infinity than the infinity of rational numbers.
An irrational number is a number that never ends. Like 24.575235758.... The numbers will go on and on.
The numbers 8 and 23 are irrational number because they do not go into any more number than themselves. This is taught in math.
Numbers like these ( pi, phi, imaginary number i ), are called IRRATIONAL NUMBERS.
It certainly can! All irrational numbers (numbers that can't be written as fractions, and in decimal form go endlessly without a pattern) are real (not divided by zero and not connected to the square root of a negative number).
Infinitely many. pi is not just an irrational number but a transcendental number. All irrational numbers have infinite decimals that do not go into a recurring pattern.
WRONG!!!!! Irrational numbers CANNOT be expressed as a quotient(fraction). Casually, irrational numbers are those were the decimals go to infinity AND there is no regular order in the decimal digits. e.g. pi = 3.1415192.... is Irrational 3.3333.... is rational.
NO!!!! Any terminating decimal is NOT irrational. '3.3' is a terminating decimal. NB An IRRATIONAL number is one in which the decimals go to infinity AND the digits are not in any regular order. 'pi' is the most well known irrational number. pi =~= 3.141592....
NO !!! However, the square root of '5' is irrational 5^(1/2) = 2.236067978... Casually an IRRATIONAL NUMBER is one where the decimals go to infinity and there is no regular order in the decimal numbers. pi = 3.141592.... It the most well known irrational number. However, 3.3333.... Is NOT irrational because there is a regular order in the decimals. Here is a definitive statement of irrational numbers. Irrational numbers are real numbers that cannot be represented as simple fractions. An irrational number cannot be expressed as a ratio, such as p/q, where p and q are integers, q≠0. It is a contradiction of rational numbers. Irrational numbers are usually expressed as R\Q, where the backward slash symbol denotes ‘set minus’. It can also be expressed as R – Q, which states the difference between a set of real numbers and a set of rational numbers.
If the number line has negative numbers to the left of zero and positive numbers to the right then the further you go to the right, the greater the numbers become.
Yes. Every whole number can be expressed as a ratio of whole numbers, and any fraction consisting of whole number numerators and denominators are by definition rational. So irrational numbers will be unending non-repeating decimals.
Go from left to right along the number line.