Discover full dictionary
Change Library :
Irrational Number Meaning In Bengali
Irrational Number শব্দের বাংলা অর্থ কি: অমূলদ সংখ্যা
Irrational Number
Definition
1) In mathematics, an irrational number is a real number that cannot be expressed as a fraction of two integers and has a non-repeating, non-terminating decimal representation. Examples of irrational numbers include the square root of 2, pi, and the golden ratio.
2) Irrational numbers are considered to be the opposite of rational numbers, which can be expressed as a ratio of two integers. They are characterized by having an infinite number of decimal places without any repeating pattern.
3) Irrational numbers play a significant role in mathematics, especially in geometry and number theory. They are crucial in proving the existence of numbers that cannot be expressed as a simple fraction and help to fill in the gaps between rational numbers on the number line.
Examples
Irrational Number Example in a sentence
1) Pi is a well-known irrational number that represents the ratio of a circle's circumference to its diameter.
2) The square root of 2 is an example of an irrational number that cannot be expressed as a simple fraction.
3) Euler's number, e, is another well-known irrational number that arises in mathematical calculations involving exponential functions.
4) The constant phi (φ) is an irrational number that appears in the golden ratio, often found in art and architecture.
5) When calculating the area of a circle, you may encounter the irrational number π.
6) Irrational numbers, like the square root of 3 or the square root of 5, cannot be represented as a terminating or repeating decimal.
7) The mathematical constant known as Euler's number (e) is an important irrational number in calculus and continuous compounding interest.
8) Irrational numbers, such as √2 or √5, are numbers that cannot be expressed as a simple fraction with integer values in the numerator and the denominator.
9) The golden ratio, denoted by the irrational number φ, is often considered aesthetically pleasing and is found in various art forms and designs.
10) Irrational numbers, like the square root of 7 or the cube root of 2, challenge conventional notions of rationality in mathematics.
Synonyms
Encyclopedia
In mathematics, an irrational number is a real number that cannot be expressed as a fraction of two integers and has a non-repeating, non-terminating decimal representation. Examples of irrational numbers include the square root of 2, pi, and the golden ratio.
Irrational numbers are considered to be the opposite of rational numbers, which can be expressed as a ratio of two integers. They are characterized by having an infinite number of decimal places without any repeating pattern.
Irrational numbers play a significant role in mathematics, especially in geometry and number theory. They are crucial in proving the existence of numbers that cannot be expressed as a simple fraction and help to fill in the gaps between rational numbers on the number line.
# Over 2,50,000+ words