"Irrational" numbers are the name for numbers that cannot be expressed in fractions; that is, in a "ratio" of one number to another. The number .5 is 1/2; one divided by two.
The most useful "irrational" number is the number "pi", the ratio of the diameter of a circle divided by its circumference. There is no fraction that exactly equals "pi", although 22/7 is close.
Another irrational number is the number "e", the root of the "natural logarithms". This is extensively used in engineering and electronic calculations.
You will use the numbers pi and e (or applications which use them).
Irrational numbers can not be expressed as fractions whereas rational numbers can be expressed as fractions
Two of the most important numbers in advanced mathematics are pi and e and both are irrational.
The history of irrational numbers is quite simple in that any number that can't be expressed as a fraction is an irrational number as for example the value of pi as used in the square area of a circle.
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.
Irrational numbers are used in some scientific jobs. Commonly used irrational numbers are pi, e, and square roots of different numbers. Of course, if an actual numerical result has to be calculated, the irrational number is rounded to some rational (usually decimal) approximation.
You will use the numbers pi and e (or applications which use them).
Irrational numbers can not be expressed as fractions whereas rational numbers can be expressed as fractions
Two of the most important numbers in advanced mathematics are pi and e and both are irrational.
The history of irrational numbers is quite simple in that any number that can't be expressed as a fraction is an irrational number as for example the value of pi as used in the square area of a circle.
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.
An imaginary number i is defined as the square root of -1, so if you have something like the square root of -2, the answer would be i root 2, and that would be considered an irrational non-real number.* * * * *Not quite. The fact that irrational coefficients can be used, in conjunction with i to create complex numbers (or parts of complex numbers) does not alter the fact that all irrational numbers are real numbers.
Here's an idea: Actually TRY to think before you start asking the answers to your homework questions on here...
Some numbers such as pi, e, and square roots are used quite commonly. Whether you use them at all will depend on what you do in your everyday life, of course. Engineers might use them commonly; others not so much.Even for an engineer, or ESPECIALLY for an engineer, the distinction between rational and irrational is irrelevant for most practical purposes; for instance, if you round pi, or the square root of 2 (which are both IRRATIONAL), to 10 or 15 significant digits, you get a RATIONAL number - and the resulting precision is more than enough for most purposes. (In fact, if you round to ANY number of digits, the result will still be rational.)
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.
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.
pi is an irrational number so most calculations involving circles, ellipses and other curves are likely to involve pi. All periodic motion, such as electromagnetic waves, sound, pendulums, etc are linked to pi.