Greater than or less than Calculator

Introduction to greater than or less than calculator:

In this article we discuss about the greater than or less than calculator. The greater than or less than function deals with algebra mathematics. The greater than or less than calculator operates the four basic functions such as addition, subtraction, multiplication and division. In greater or less than calculator we are using many mathematical symbols. Each one of the symbol represents the particular operation. The some of the mathematical symbol is given below,

< It denotes the less than symbol

<= It denotes the less than or equal to symbol

> It denotes the greater than symbol

>= It denotes the greater than or equal to symbol

!= It denotes the not equal to symbol

= It denotes the equal to symbol

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Explanations of Greater than or less than Calculator:

Less Than(<)

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Less Than or equal to(<=)

If a<=5, the variable ‘a’ is less than or equal to value 5, the variable ‘a’ may be equal to 5 or may be any one of the following value 4, 3, 2, ……… so on.

Greater Than(>)

If a>5, the variable ‘a’ is greater than value 5, the variable ‘a’ may be any one of the following value 5, 6, 7,……… so on.

Greater Than or equal to(>=)

If a>=5, the variable ‘a’ is greater than or equal to value 5, the variable ‘a’ may be 5 or may be any one of the following value 6, 7, 8, ……… so on. Please express your views of this topic syllabus of class 9 cbse by commenting on blog.

Examples for Greater than or less than Calculator:

Addition and subtraction of greater than or less than calculator:

4x+6<-2x br="">
4x+6-6<-2x br="">
4x<-2x br="">
4x+2x<-2x br="" x="">
7x<2 br="">
`x>2/7`

Domain and Range of Exponential Functions

Introduction to domain and range of exponential functions:

A function gives the output values for various values assigned to the variable. That means for every value of the variable there is a corresponding value of the function. However, in certain functions, for some values of the variable, the function may not be defined.  The study of such values of the variable and the corresponding values of the function is called the study of domain and range of the function.

In this section we will study the domain and range of exponential functions.

Domain and Range of Exponential Functions – Description

It is important to identify the set of the variables that only make the function exist. This set of values is defined as the domain of the function. Similarly the values of the function undergoes limitations. It is possible that the variable can be assigned any real number but the function values may be only within an interval. This interval of the values of the function is called the range of the function.

An exponential function means a function where the variable is in the place of exponent. In the simplest form it is defined by,

f(x) = akx , where a and k are constants.

This function needs to be studied because it does have certain limitations. I have recently faced lot of problem while learning Formula for Simple Interest, But thank to online resources of math which helped me to learn myself easily on net.

Domain and Range of Exponential Functions – Domain and Range

Consider an exponential function defined by,

f(x) = akx , where a and k are constants.

In the above function you are free to assign all real numbers for the variable.

Assuming k to be positive, the lesser and lesser values of the variable in the negative direction, the value of the function becomes smaller and smaller but remaining positive always. At the ultimate when x tends to minus infinity, the value of the function tends to 0.

Again assuming k to be positive, the grater and greater values of the variable in the positive direction, the value of the function becomes larger and larger but remaining positive always. At the ultimate when x tends to infinity, the value of the function also tends to infinity.

Therefore, the conclusion is the domain of an exponential function is all real numbers and the range is all positive real numbers.

The Meadian of a Math Problem

Introduction to the median of a math problem:

Let us see about the topic the median of a math problem in probability theory and statistics, a median is explained as the numeric worth separating the top half of an example, a people, or a probability distribution, from the subordinate half. The median of a limited list of statistics can be established by arranging all the explanation from low value to the top value and pick the middle one. Some example problems and practice problems using median of a math are given below.

Example Problem for the Median of a Math Problem.

Example:1

Calculate the median of the following sequence numbers

10, 4, 9, 7, 13, 7, 17, 14.

Solution:

Initial place the numbers of  values in an ascending order .

4,7, 7, 9,10, 13, 14, 17.

The integer of sequence values is 8, an even numeral. Therefore the median is the average of the 2 middle values.

4,7, 7, 9,10, 13, 14, 17

Average of two middle values is 9 and 10

Meadian = 9 + 10/2

= 19/2

= 9.5

Example :2

Try to calculate arithmetic meadian of 6,7,9,4,1,2

Solution:

Given, 1,2,4,6,7,9
Calculate the whole digits are given.

Here  6 numbers in the circulation.

Put the digits in ascending order.
1,2,4,6,7,9
The whole numbers in the distribution (6) is even.
The middle value can be designed using the formula.

` (n/2) `
So the middle value is   `6/2` = 3 and 4
The number at 3rd and 4th position is 4 and 6

Median = `10/2`

Example :3

Try to calculate arithmetic meadian of  7,8,10,5,2,4

Solution:

Given:2,4,5,7,8,10

Calculate the whole digits are given.

Here  6 numbers in the circulation.
Put the digits in ascending order.
2,4,5,7,8,10
The whole numbers in the distribution (6) is even.
The middle value can be designed using the formula.

`(n/2)` +1
So the middle value is `(6/2)` +1 = 3 and 4
The number at 3rd and 4th position is 5,7

Calculate the median =  `(5 + 7)/2`

Meadian = `12/2` = 6

Practice Problem for the Meadian of a Math Problem.

Problem :1

Calculate the median of the following sequence numbers

11, 5, 10, 8, 14, 8, 18, 15.

Solution:

Meadian = 10.5

Problem :2

Calculate the median of the following sequence numbers

12, 6, 11, 9, 15, 9, 19, 16.

Solution:

Meadian = 11.5

Midpoint Formula Calculator

Introduction for midpoint formula calculator:

Midpoint is the point where it lies in the center of a line segment. In any line segment of a geometric figure have a mid point on it. The midpoints are find using the two end points. The midpoint acts as an equidistant from both ends of a line segment. Using midpoint formula we find the mid point. Using the calculator we can also find the midpoint of a line segment easy.

Midpoint Formula Calculator:

Formula used in midpoint calculator.

Mid point = `((x1 + x2)/(2),(y1+y2)/2)`

Where (x1,y1) (x2,y2) are the end points of the line segment. These coordinates are substituted in the midpoint formula calculator and get the answer exactly.

Let us see mid point formula calculator, then how we find midpoint using calculator step by step.

Problem 1: Find the midpoint for a line segment (3,5) and (5,5).

Solution:

First input the value of the coordinates x1,x2,y1 and y2 in the calculator.

In the input box enter the value of coordinate x1 = 3

In the input box enter the value of coordinate x2 = 5

In the input box enter the value of coordinate y1 = 5

In the input box enter the value of coordinate y2 = 5

Then click the calculate button

After clicking the button the calculator displays the answer in the answer box.

Steps done by the calculator:

Given:

Midpoint = `((x1 + x2)/2,(y1+y2)/2)`

= `((3+ 5)/2,(5+5)/2)`

= `8/2` , `10/2`

=(4,5)

In calculator the answer displays as (4,5) I have recently faced lot of problem while learning Complex Polygon, But thank to online resources of math which helped me to learn myself easily on net.

Example for Midpoint Formula Calculator:

Find the midpoint for a line segment (4,2) and (2,10).

Solution:

First input the value of the coordinates x1,x2,y1 and y2 in the calculator.

In the input box enter the value of coordinate x1 = 4

In the input box enter the value of coordinate x2 = 2

In the input box enter the value of coordinate y1 = 2

In the input box enter the value of coordinate y2 = 10

Then click the calculate button

After clicking the button the calculator displays the answer in the answer box.

Steps done by the calculator:

Given:

Midpoint = `((x1 + x2)/2,(y1+y2)/2)`

= `((4+ 2)/2,(2+10)/2)`

= `6/2` , `12/2`

= (3,6)

In calculator the answer displays as (3,6)

Non Positional Number System

Introduction to non positional number system:

In this we will see about non positional number system. Number system can be classified as two type positional system, and non positional system. Positional system can classify decimal, fractional number system, whole number, binary number, and so on. Non positional number system is just opposite to positional number system. There is no major different between positional and non positional number system.  Let us see bout non positional number system. Having problem with Number Sense keep reading my upcoming posts, i will try to help you.

Example Problems for Non Positional Number System:

Example problem: Can you covert the following binary number into hexadecimal number: 1001000

Solution:

Given 1001000

To convert binary into hexadecimal value, first we have to consider the first 4 binary numbers from right side.

1001000 can be split as 100 1000

Compare with the above table:

1001000= 48

Therefore, the hexadecimal value of 1001000 is 48.

Answer: The hexadecimal value of 1001000 is 48. I have recently faced lot of problem while learning how to solve calculus problems, But thank to online resources of math which helped me to learn myself easily on net.

Practice Problems for Non Positional Number System:

Practice problem 1: Can you covert the following decimal number into hexadecimal number: 95

Practice problem 2: Can you covert the following octal number into decimal number: 113

Practice problem 3: Can you covert the following binary number into hexadecimal number: 1011100

Practice problem 4: Can you covert the following decimal number into binary number: 21

Practice problem 5: Can you covert the following binary number into octal number: 1011001

Practice problem 6: Can you covert the following decimal number into binary number: 36

Practice problem 7: Can you covert the following octal number into binary number: 102

Solutions for non positional number system:

Solution 1: The hexadecimal value of 95 is 5F.

Solution 2: The decimal value of 113 is 75.

Solution 3: The hexadecimal value of 1011100 is 5C.

Solution 4: The binary value of 21 is 10101.

Solution 5: The octal value of 1011001 is 89.

Solution 6: The binary value of 36 is 100100.

Solution 7: The binary value of 102 is 1000010.

Different Types of Interest

Introduction of different types of interest:

Let us see about different types of interest. The interest is especially necessary for our everyday life and also this most imperative and interesting part in mathematics. This is the essential of much economic estimation. This is the adequate technique of earn the money. For illustration, finance and deposits. In bank areas the interest is one of the most central jobs for earn the money.

Definition:

Interest is the charge of somebody pays for the short-term implement. The interest may be depends on the principal amount. The interest is competent to be signifying during the percents per year or percents per month.

Different types of interest:

There are two different types of interest that it follows by the economic department like insurances, banks and etc.  The different types of interest are following below:

Interest 1: Simple interest.

Interest 2: Compound interest.

Interest 1: Simple interest:

The simple interest is one different category of the interest. The simple interest may be controlling the interest basis on their major amount.

Interest 2: Compound interest:

The compound interest is one different category of the interest.  The compound interests same as the simple interest. The compound interest happens to, if the interest comprise more than one year.

Formula:

Let us see the formulas for different types of interest.

1.    Simple interest:

The formula for the simple interest = P * N * R.

Explanation:

P point outs the principal amount.

N point out the number of year.

R point out the interest rate.

2.    Compound interest:

The formula for the compound interest = C (1 + r/ n) n *t.

Explanation:

C Point out initial deposit.

R Point out interest rate.

N Point out the times per year.

T Point out the number of years invested. Having problem with Imaginary Number keep reading my upcoming posts, i will try to help you.

Examples:

Let us see some examples of the different types of interest.

Example 1:

Find the simple interest, where Principal amount is 5000, rate is 0.09 with 3 years.

Solution:

The formula for simple interest = P*N*R.

= 5000 *0.09 *3.

=1350.

The cost of 1350 is simple interest.


Problem 2:

Find the compound interest where the principal amount is 8000, rate is 0.07 and compound quarterly 5 times per year. The money will stay account for 1 year.

Solution:

The formula for compound interest = P (1 + (r/n))nt.

= 8000 * (1 + (0.07 /5) 5*1.

= 8575.90.

The 8575.90 is compound interest.

Area Unit Converter

Introduction to area unit converter:

Measurements is on of the basic system in maths. Measurements plays an important  role in  our day to day life. In some ways we are using measurements in our day to day life. Area unit converter is used to convert the given values in terms of area measurements.  These units are in measurements of acre, meter, or something else. Then we select the unit conversion to convert to the yield units. The general area unit meaurements are square meters, square inches, square rods, hectres, hides etc. Having problem with Hex to Decimal Converter keep reading my upcoming posts, i will try to help you.

Area Unit Converter

Area unit converter Problem 1:

Convert 100 acres to ares.

Solution:

Here we have to convert acres to ares.

1 acre = 40.46 ares

so,

100 acre = 40.46 * 100

= 4046 ares

The result is 4046 ares


Area unit converter Problem 2:

Convert 555 hectares to roods

Solution:

Here we need to convert hectares to roods,

1 hectare = 9.88 roods.

so,

555 = 9.88 * 555

= 5483.4

The answer is 5483.4 roods


Area unit converter Problem 3:

Convert 666 hides to square kilometers

Solution:

Here we need to convert hides to square kilometers,

1 hides = 0.485 square kilometers

1 hides = 0.485 * 666

= 323.01 square kilometers.

The answer is 323.01 square kilometers

More Problems on Area Unit Converter

Area unit converter Example 1:

Convert 153 square inches to sqaure meters.

Solution:

Here we need to convert square inches to square meters.

1 square inche = 0.000645 square meter

= 0.000645 * 153

= 0.0986 square meter.

The answer is 0.0986 square meter.

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Area unit converter Example 2:

Convert 85 square yards to square inches.

Solution:

Here we need to convert square yards to square inches,

1 square yard = 1296 square inches

= 85 * 1296

= 110160 square inches

The answer is 110160 square inches.

Area unit converter Example 3:

Convert 100 square yards to square inches.

Solution:

Here we need to convert square yards to square inches,

1 square yard = 1296 square inches

= 100 * 1296

= 129600square inches

The answer is 129600 square inches.


Area unit converter Problem 4:

Convert 50 hectares to acre.

Solution:

Here we have to convert acres to ares.

1 hectare = 2.47 acres

so,

50 hectare = 2.47 * 50

= 123.5 acres

The result is 123.5 acres

Percentage difference

We usually come across perc in many phases in our lives. We get the marks in perc and the discount to tells you about this much perc off. In this section we will discuss about Finding Percentage Difference.  This is usually done when you need to compare an old value to a new value. And this is done only on same kind of things. For example: - To compare weights, heights, shoe size or anything else. Now how do us Find Percentage Difference.  I like to share this Equation for Percent Difference with you all through my article.

The Formula for Percentage Differenceis difference between two values divided by average of the two values, with a % sign. So this is actually a three steps process mentioned below: -
1. Find the difference between two numbers or values given; ignore the negative sign if any.
2. Find the average of two numbers by adding them and dividing by two.
3. Divide the two results obtained in first and second step that is dividing difference by the average obtained.
4. Multiply by hundred and add a ‘%’ sign.
For example: - Outside the amusement park, there are two ticket stalls. Stall one sold45 tickets and stall two sold a total of 35 tickets. Now what is the Percentage of DifferenceHere? First of all we calculate the difference between two which is 45-35 which give 10.

Now the average of these two numbers are (35+45)/2 which is 40. Now we set up the Equation for Percent Differencewhich is 10/40 *100 that results in 25. By adding a % sign to it makes it 25 %. Hence we can conclude that perc difference between 35 and 25 is 25%.

We can calculate perc difference only for similar kind of values and things. Now let us discuss one more example. In a company, Sammy works for 10 hours and Sherry works for 14 hours. What is the perc difference between their numbers of working hours? In the first step, we find the difference between their numbers of working hours.

Difference is 10 minus 14 which equals to negative four. We can ignore the negative here which will make it four. Now the average between these two numbers is (10+14)/2 which is equal to 12. Now the equation becomes 4/12 * 100 which equals 33.33 and we can add a ‘%’ sign to it by making it 33.33%.

Basic Statistics Terms

Introduction to basic statistics terms:

In math, Statistics should be the formal science of generating the perfect help of mathematical data that are involving to collection of individuals. The math basic terms, statistics should be either singular or else plural. The statistics problems include the main concepts of help with mean, median, mode and range. In this article we are going to see few example problems for help with math statistics. Having problem with Example of Descriptive Statistics keep reading my upcoming posts, i will try to help you.

Types of Standard Deviation:

Standard deviation in statistics it can be different as three types it can be shown below,

Mean Deviation of the mean in statistics
Mean deviation of the median in statistics
Mean deviation of ungrouped data in statistics

Basic Terms in Statistics

The basic statistics terms are shown below,

Mean in statistics
Median in statistics
Mean in statistics:

We can estimate the mean with the relation as total of whole number of fundamentals is divided by the number of statistics.

Median in statistics:

We can place the given statistics as the arrange like the ascending and the descending order so if arrange those plan means we can inform the center number is the median or if the information is include the even number means we use can add those middle two numbers and then separated it by 2 ,we obtain the median .
Please express your views of this topic solving systems of equations examples by commenting on blog.

Example Problems for Statistics:
Now we can see about examples of basic statistics terms.

Example 1:

To solve the mode of  the numbers 9,1,5,7,3,4,9,2,8,9,6,9.

Solution:

Given numbers is 9,1,5,7,3,4,9,2,8,9,6,9.

Ascending order of numbers = 1,2,3,4,5,6,7,8,9,9,9,9

Here, the digit '9' is repeating 4 times.

So, Mode value of the particular numbers is 9.

Mode = 9

Example 2:

To solve the range of given numbers 12, 2,8,6,9,5,10.

Solution:

Given numbers is, 12, 2,8,6,9,5,10.

The largest number = 12

The smallest number = 2

Therefore, Range = largest number - smallest number

= 12 - 2

= 10

Example 3:

Which is the median of the given numbers sets, 10, 12,22,29,32,42,55,61.

Solution:

Given, data sets are, 10, 12,22,29,32,42,55,61.

Initial step is finding the arrangement list of numbers. That is, 10, 12,22,29,32,42,55,61.

Now, total integers is even = 8

So, Median = m1 + m2/ 2

Now, m1 and m2 are the two center terms of the given numbers sets = 29 and 32

Therefore, Median = 29+32/2

= 61/2

= 30.5