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

Algebra, logrithim of function?

logrithim of function?

Determine rank correlation coefficient , Determine Rank Correlation Coe...

Determine Rank Correlation Coefficient A group of 8 accountancy students are tested in Quantitative Techniques and Law II.  Their rankings in the two tests were as:

Determine the circumference, If Gretta's bicycle has a 25-inch radius wheel...

If Gretta's bicycle has a 25-inch radius wheel, how far will she travel in two turns of the wheel? (π = 3.14) a. 491 in b. 78.5 in c. 100 in d. 157 in d. To determin

Matric, fgdg ggghfr hhrhfrf hfrrg jhj hjgg dear friend ghr tu vgu jyyiu ui ...

fgdg ggghfr hhrhfrf hfrrg jhj hjgg dear friend ghr tu vgu jyyiu ui u huik bgyuiiyts husk

Wave through the origin always has a slope of one or not, Can you explain t...

Can you explain that a wave through the origin always has a slope of one or not?

Calculus (The squeeze theorem), When finding the limit as x approaches 0 th...

When finding the limit as x approaches 0 the for function (square root of x^3 + x^2) cos(pi/2x) would the limit not exist because there would be a zero in the denominator?

Find no. of diagonals, In a polygon no 3 diagnols are concurrent. If the to...

In a polygon no 3 diagnols are concurrent. If the total no of points of intersection are 70 ( interior ). find the no. of diagnols? Ans) Since no 3 diagonals are concurrent, There

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Power of iota, The next topic that we desire to discuss here is powers of i...

The next topic that we desire to discuss here is powers of i. Let's just take a look at what occurring while we start looking at many powers of i . i 1 = i

Objectives to knowing your maths learner, Objectives After studying th...

Objectives After studying this unit, you should be able to briefly describe the developmental stages of children's thinking and learning processes; assess the levels

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