Introduction To Irrational Number

To  Understand what  is  an  Irrational number we have to understand what is a rational  number? Rational number are those numbers which can be expressed in the form of numerator / denominator. Every rational numbers can be expressed as decimal form or in non- terminating  repeating decimal form..

Definition of Irrational number: Irrational numbers are those numbers which cannot be expressed  in  the form of numerator / denominator. all non- terminating non- recurring decimals are irrational number.

What is a irrational number
According to definition of Irrational numbers : Any number that cannot be expressed in the form of p/q , where p , q are integers , q>0 , p and q have no common factor (except 1) is called an irrational number.

What are irrational number

• Negative of an  irrational number  is an irrational  number. 
• The sum of a rational number and an irrational number is considered as an irrational number.
• The product of a non-zero rational number and an irrational number is found to be irrational in nature.
• The sum, difference , product , and quotient of two irrational numbers need not to be an  irrational number  because the sum of the irrational numbers √3  and  -√3 is 0 which is a rational number, whereas the sum of irrational number √2 and √5 is an irrational number
• The difference of an irrational numbers √2 and  -√2 is zero which is a rational number but √5 and √ 6 difference is irrational  number.
• The product of √18 and √ 2 is 6, which is a rational number and √7 and √6 is √42 which is irrational.
• The quotient  of irrational number √12 and √ 3 is 2 , which is a rational number  and √12 and √4 is √3 is irrational number.

What is an irrational number

A  number is an irrational number  , if it has non-terminating  an non repeating decimal representation.

• Let  us  take some Irrational numbers examples 0.12112111211112………., 0.30003000030000003…………….. cannot be expressed  in the form of p/q. 
• The decimal representation of √2=1.414215…………………. is neither terminating nor repeating so , it is an irrational number.

Like Decimals

Let's learn about Like Decimals in today's post.

There are two kinds of decimals: like and unlike decimals. Like decimals are those which has the sample decimal place values and unlike decimals are those which have different decimal place values.

• Examples of like decimals are: 2.46, 7.89, 4.55 and so on.
• Examples of unlike decimals are: 2.4, 2.44, 5.678 and so on.

Next time i will help you with equations with decimals. You can also get your help from an algebra tutor.

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Linear regression

Let's learn about statistics linear regression in today's post.

Linear Regression Definition states that it can be measured by using lines of regression. Regression measures the amount of average relationship or mathematical relationship between variables in terms of original units of knowledge. Whereas, correlation measures the nature of relationship between variables. i.e.., positive or negative or uncorrelated.

Next time i will help you with statistical inference. One can also avail to online tutoring for more help. Not just statistics but you can avail to pre calculus tutoring and so on.

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Statistics Problems

Today's post is based on statistics problems. Get quality help with statistics problems here. First let's understand what is statistics and what problems would it include.

Statistics is the study of data collection. The study of statistics can be classified into two fields: Theoretical and applied statistics. While theoretical statistics is the study of theories of statistics dealing with data collection and so on. Applied statistics is the use of statistics in the real life such as level of measurements and so on. Therefore the basic statistics problems can be the given below:

• Mean
• Median
• Mode
• Range
• Standard Deviation
• Distribution

One can also gain help from math tutor online for more help.

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Binomial Distribution

Let's learn about statistical binomial distribution in today's post.

As this idea was first used by Jacob Bernoulli, therefore this idea is named after him & also said as Bernoulli distribution. A trial, which has only outcomes is called a Bernoulli trial.

Next time i will help you with the concept of statistics level of measurement.

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what is a function in math

Let us learn about what is a function in math

A function f from N → N is referred by f(x) = 3x. Find the range of f.

Solution: f = {3, 6, 9, 12, …}

Given f(x) = 4x/(x +1) with domain (–3, –2, 0, 1, 3}. Find the range of f.

Solution: The range of f is (6, 8, 0, 2, 3}

A math function is a 1 of the type of relation. In a function, number two ordered pairs can have the same 1st element & a different 2nd element. That is, for functions, corresponding to every 1^st element of the ordered pairs, there must be a different 2^nd element. That is. In a function we can't have ordered pairs of the form (a₁, b₁) & (a₂, b₂) with a₁ = a₂ & b₁ ≠ b₂. It is called as function in math

In our next blog we shall learn about quarts in gallon I hope the above explanation was useful.Keep reading and leave your comments.

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basic operations with polynomials

Let us learn about basic operations with polynomials

A polynomial is referred as a series of terms which are to be added to or subtracted from each other in an equation.

Best example of a trinomial would be 6x2-5x-6. For the ATC apprenticeship mathematics test you will work with factors to create polynomials.

A polynomial is referred as an algebraic expression in which the variables have non-negative integral exponents only.

Best example, all of the following expressions is polynomials:

17 + 2x + x2, x4 + 3x

The 1st & the last are polynomials in 1 variable x. The middle expression is a polynomial in 2 variables x & y. Therefore unless stated otherwise, polynomial will mean a polynomial in 1 variable. Operation of polynomials are classified following ways

a) Addition b) Subtraction c) Multiplication d) Division

In our next blog we shall learn about integral of cosine squared I hope the above explanation was useful.Keep reading and leave your comments.