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

Geometyr, Lines EF and GH are graphed on this coordinate plane. Which point...

Lines EF and GH are graphed on this coordinate plane. Which point is the intersection of lines EF and GH?

Basic operations on fractions, A simple example of fraction would be ...

A simple example of fraction would be a rational number of the form p/q, where q ≠ 0. In fractions also we come across different types of them. The two fractions

Money, What is the formulate of finding commission

What is the formulate of finding commission

Examples on log rules, Examples on Log rules: Example:      Calculate...

Examples on Log rules: Example:      Calculate (1/3)log 10   2. Solution: log b n√A = log b A 1/n = (1/n)log b A (1/3)log 10 2 = log 10 3 √2 = log 10 1.

Solve the following word problems, 1.   The length of a rectangle is 2 time...

1.   The length of a rectangle is 2 times its width.  The area of the rectangle is 72          square inches. Find the dimensions of the rectangle.   2.   The length of a rec

Bernoulli differential equations, In this case we are going to consider dif...

In this case we are going to consider differential equations in the form, y ′ +  p   ( x ) y =  q   ( x ) y n Here p(x) and q(x) are continuous functions in the

Counters and registers, design a synchronous, recycling, MOD-12 counter wit...

design a synchronous, recycling, MOD-12 counter with D FF''s. Use the states 0000 through 1011 in the counter.

Measures of skewness-measure of central tendency, Measures Of Skewness ...

Measures Of Skewness - These are numerical values such assist in evaluating the degree of deviation of a frequency distribution from the general distribution. - Given are t

Determine the relative global error, Consider the differential equation giv...

Consider the differential equation give by y′ = -10(y - sin t) (a) Derive by hand exact solution that satis?es the initial condition y(0) = 1. (b) Numerically obtain the s

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