Diffrence between rational and irrational numbers, Mathematics

Assignment Help:

Q. Diffrence between Rational and Irrational Numbers?

Ans.

A number which is not rational is called irrational. The word "irrational" sounds not quite right...as though the numbers were "wrong in some way. As a matter of fact, many early mathematicians like Pythagoras were unwilling to accept that such numbers could exist. Nowadays, irrational numbers are accepted as perfectly "proper."

Some examples of irrational numbers are:

• Square roots of whole numbers that aren't perfect squares; for example,

• Decimal numbers that don't repeat or terminate. Some examples of this type of number are Π ≡ 3.14159... and e ≡ 2.71828...

• There are many other examples. In fact, there are "more" irrational numbers than rational numbers.

How do you know when a number is irrational? That can be difficult. If you can write a number as a fraction., then it must be rational, but if you can't write a number as a fraction, then maybe you just haven't thought of the right fraction yet! To know for sure that a number is irrational, you would have to prove that it can't be written as a fraction.


Related Discussions:- Diffrence between rational and irrational numbers

Calculate the gains from trade, Table shows the productivity for the countr...

Table shows the productivity for the countries Pin and Pang. 1) If the working population of Pin and Pang are both 6 million, divided equally between the two industries in

Alcohol Solutions, If you have 60% alcohol and wish to dilute with water to...

If you have 60% alcohol and wish to dilute with water to make 12 liters 40% alcohol, How many liters of water should you add?

Fraction word problem, castor brought 6 3/4 carat cakes to share with 26 st...

castor brought 6 3/4 carat cakes to share with 26 students. did castor bring enough for each student to have 1/4 of cake?

Find the sum-of-products expression for the function, Find the sum-of-produ...

Find the sum-of-products expression for subsequent function,  F (x,y,z) = y + Z‾ Ans: The sum of the product expression for the following function f is DNF (disjunc

Infinite, why cant we find the value of 1 upon zero

why cant we find the value of 1 upon zero

Graph for the sequence - sequences and series, Graph for the Sequence F...

Graph for the Sequence First we wish to think about the term graphing a sequence. To graph the sequence {a n } we plot the points {n, a n } as n ranges over every possible valu

Minima, Minima, Maxima and points of inflexion a)      Test for rela...

Minima, Maxima and points of inflexion a)      Test for relative maximum Consider the given function of x whose graph is presented by the figure given below

Ratio and proportion, find the ratio of each of the following in simplest f...

find the ratio of each of the following in simplest form 1] 9 months to 7 by 4

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd