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

Sequence and series, Find the sum og series 1+(1+3)+(1+3+5)+.......+(1+3+.....

Find the sum og series 1+(1+3)+(1+3+5)+.......+(1+3+...+15+17)=

VECTORS, OQRS IS A QUADRILATERAL SUCH THAT OQ= -6,3 OR= -3,7 AND OS= 1,5. T...

OQRS IS A QUADRILATERAL SUCH THAT OQ= -6,3 OR= -3,7 AND OS= 1,5. T IS ON OQ SUCH THAT OT: TQ= 1:2 PROVE THAT QRST IS AA PARALLEGRRAM

Systems of equations revisited, Systems of Equations Revisited We requ...

Systems of Equations Revisited We require doing a quick revisit of systems of equations. Let's establish with a general system of equations. a 11 x 1 + a 12 x 2 +......

Adding fractions with the same denominator, Q. Adding Fractions with the Sa...

Q. Adding Fractions with the Same Denominator? Adding fractions with the same denominator is easy- you add the numerators (the tops), and you leave the denominator alone!

Determine the distance, Two planes leave the airport at the similar time. M...

Two planes leave the airport at the similar time. Minutes later, plane A is 70 miles due north of the airport and plane B is 168 miles due east of the airport. Determine the distan

What is the least number of students needed in a class, What is the least n...

What is the least number of students needed in a class to be sure that at least 6 will receive similar grade if there are five probable grades A, B,C, D and F?  Ans: Let us re

Binimial, theory behind the greatest term in the binomial expansion

theory behind the greatest term in the binomial expansion

Advanced functions, writ the equation that describes the motion of a point ...

writ the equation that describes the motion of a point on the wheel that has a center of 4m off the ground, has radius of 15 cm, makes a full rotation every 10 seconds and starts a

Find the value of x of eagle , A fox and an eagle lived at the top of a cli...

A fox and an eagle lived at the top of a cliff of height 6m, whose base was at a distance of 10m from a point A on the ground. The fox descends the cliff and went straight to the p

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