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