Irrational Numbers List

In the previous post we have discussed about Is 0 a rational or Irrational number and In today's session we are going to discuss aboutIn mathematics, any number written in the form of simple fraction is said to be irrational number or the number which is not rational is irrational number.

The ‘pi’ is the example of irrational number because its value after the decimal point is:

⊼ = 3.1415926535897……….. So it cannot be expressed in form of rational number.

Now we will see the irrational numbers list. The irrational number list is given below: A list of irrational numbers includes numbers like: (know more about Irrational Numbers List, here)

 √2, √3, √5, √7, √11, √13, √17, √19, √23, √29, √31, √37, √41, √43, √47, √53, √57, √59, √61, √63, √67, √69, √71, √73, √79, √83, √87, √89, √93, √97, √101, √103, √107, √109, √111, √113, √117, √119, √123, √129, √131, √137, √141, √143, √147, √153, √157, √159, √161, √163, √167, √171, √173, √173, √183, √187, √189, √193, √197, √201, √203, √207,√211………...and so on. The List of Irrational numbers include many other numbers. Let’s study some facts about irrational numbers:

·         Negative of an irrational number is also irrational number, meaning of this sentence is: if ‘y’ is irrational then ‘–y’ is also an irrational number.

·         If we add an irrational number and rational number then the sum we get is also irrational. Let ‘p’ is an irrational number and ‘q’ is a rational number then the sum (p + q) is also irrational.

·         In case of roots also the above step is applicable, let √7 is irrational and ‘e’ is rational then the sum √7 + e is also irrational. This is all about the irrational number list. Now we will Units of Momentum. Momentum can be defined as the product of mass and velocity of given object. The unit of momentum is kg.m/s. If you are prepression for IIT then please prefer online tutorial of iit sample papers. It is very helpful for iit exam point of view.   

Is 0 a rational or Irrational number

Before comparing that Is 0 a rational or Irrational number, it is necessary to learn about the rational and irrational. Rational number can be defined as a number which is written in the fraction form or written in p/q (in ratio). For example: 1.2 the number is rational because it is also written in the fraction form. So we can write it as 6/5. An irrational number can be defined as a real number which cannot be written in the fraction form or cannot be written in p/q form. For example: pi the value of pi is 3.14 it is not in the ratios. So pi is included in the categories of irrational number. In word we can say that the numbers are not rational are all irrational numbers.
Now we will see Is 0 a rational or Irrational number? According to the definition of rational number and irrational number we can easily say that ‘0’ is rational number because it can be written in the form of p/q or in form of fraction. If we write 0 in fraction form then we can write it as:
⇨ 0 / 1 = 0
We can easily compare any number using the definition of rational number and irrational number.  Suppose we have given some number 9.5, 5, 1.75, √2, 0.111, √3, √99, now find which number is rational number and which one is irrational number. (know more about Is 0 a rational or Irrational number, here)
According to the definition of rational number and irrational number we can easily compare the given number.
9.5 can be written as 19/2, so it is rational number. 1.75 can be written as 7/4 so it is also rational number. √2, √3 and √99 cannot be written in the fraction form so these numbers are irrational number. And 0.111 can be written as 1/9 so it is also a rational number. So this is all about the rational and irrational number.
Now we will see the Units of Density, unit of density is given as kg/m³. Before entering in the examination of 10^th class please focus on 10th maths question paper. It is very helpful for exam point of view and In the next session we will discuss about Irrational Numbers List. 

How to Find Percentage

In the previous post we have discussed about Proportions and In today's session we are going to discuss about Percentage, It defines how a number is present in form of fraction. It is define as a ratio that is based on the whole number. We can describe percentage as a value occurred on per 100. As the name describe per cent in which cent means hundred. In this blog we are going to know about how to find percentage. When we define any number in terms of percentage as 25% means 25 / 100 or 25 per 100. It also express the method of changing any percent value in the whole number.

We can easily express a number in form of percentage , first generate a fraction that have numerator as the value for which we want to calculate percentage and denominator define as the whole value and then multiply this fraction with 100 .It gives the percentage as if there is part x and its whole value is y then percentage is expressed as x / y * 100.

We can describe whole process of generating percentage in form of some steps as:

(1): Find the whole value

(2): define the portion for which percentage will be calculated.

(3): Generate the fraction

(4): calculate the percentage by multiplying the fraction value with the 100.

All the steps are described by an example as if the value is 25 and whole value is 50 than percentage is calculated as put the whole value and partition value in form of fraction as 25 / 50 and then multiplied it with 100 as 25 / 50 * 100 = 50 % that means 25 is 50 % of 50 that means 25 is just half of 50.

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Proportions

In algebra proportion is define as the special form used for comparison of two ratios . When we talk about the ratios it define as relationship between two or more things. But when we talk about the proportion it is the method of setting two ratios equal. We can say it in other words as when two ratios are equal to each other then their proportion are also equal. It is explained as 1 / 2 is equal to the 2 / 4 or 14 / 28.

Proportions is used when there is one part is missing in the given ratio as if a ratio is equal to other ratio means there proportion are equal then we can easily find the missing value. (want to Learn more about Proportions, click here),

As if there are two ratios a / b that is equal to x / y then these are stated as

a / b = x / y means these ratios have same proportions.

Sometimes values are missing from ratios but having the same proportion as x / 10 and 1 / 2 have these ratios are stated as x / 10 = 1 / 2, so for finding the value of x we use the proportion as

x = 10 * 1 / 2

x = 10 / 2 = 5.

We can also depict the proportion as the comparison that shows the relative relation between two or more things in terms of quantity , quality and any other sort of measurement.

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