Mathematical-Calculator-Online v.1.0
The calculator performs the following operations: addition, subtraction, multiplication, division, working with decimals, root extraction, exponentiation, percent calculation and other operations.
Solution:
How to use a math calculator
| Key | Designation | Explanation |
|---|---|---|
| 5 | numbers 0-9 | Arabic numerals. Entering natural integers, zero. To get a negative integer, you must press the +/- key |
| . | semicolon) | Separator to indicate a decimal fraction. If there is no number before the point (comma), the calculator will automatically substitute a zero before the point. For example: .5 - 0.5 will be written |
| + | plus sign | Adding numbers (integers, decimals) |
| - | minus sign | Subtracting numbers (integers, decimals) |
| ÷ | division sign | Dividing numbers (integers, decimals) |
| X | multiplication sign | Multiplying numbers (integers, decimals) |
| √ | root | Extracting the root of a number. When you press the “root” button again, the root of the result is calculated. For example: root of 16 = 4; root of 4 = 2 |
| x 2 | squaring | Squaring a number. When you press the "squaring" button again, the result is squared. For example: square 2 = 4; square 4 = 16 |
| 1/x | fraction | Output in decimal fractions. The numerator is 1, the denominator is the entered number |
| % | percent | Getting a percentage of a number. To work, you need to enter: the number from which the percentage will be calculated, the sign (plus, minus, divide, multiply), how many percent in numerical form, the "%" button |
| ( | open parenthesis | An open parenthesis to specify the calculation priority. A closed parenthesis is required. Example: (2+3)*2=10 |
| ) | closed parenthesis | A closed parenthesis to specify the calculation priority. An open parenthesis is required |
| ± | plus minus | Reverses sign |
| = | equals | Displays the result of the solution. Also above the calculator, in the “Solution” field, intermediate calculations and the result are displayed. |
| ← | deleting a character | Removes the last character |
| WITH | reset | Reset button. Completely resets the calculator to position "0" |
Algorithm of the online calculator using examples
Addition.
Addition of natural integers (5 + 7 = 12)
Addition of integer natural and negative numbers ( 5 + (-2) = 3 )
Adding decimal fractions (0.3 + 5.2 = 5.5)
Subtraction.
Subtracting natural integers ( 7 - 5 = 2 )
Subtracting natural and negative integers ( 5 - (-2) = 7 )
Subtracting decimal fractions ( 6.5 - 1.2 = 4.3 )
Multiplication.
Product of natural integers (3 * 7 = 21)
Product of natural and negative integers ( 5 * (-3) = -15 )
Product of decimal fractions ( 0.5 * 0.6 = 0.3 )
Division.
Division of natural integers (27 / 3 = 9)
Division of natural and negative integers (15 / (-3) = -5)
Division of decimal fractions (6.2 / 2 = 3.1)
Extracting the root of a number.
Extracting the root of an integer ( root(9) = 3)
Extracting the root of decimal fractions (root(2.5) = 1.58)
Extracting the root of a sum of numbers ( root(56 + 25) = 9)
Extracting the root of the difference between numbers (root (32 – 7) = 5)
Squaring a number.
Squaring an integer ( (3) 2 = 9 )
Squaring decimals ((2,2)2 = 4.84)
Conversion to decimal fractions.
Calculating percentages of a number
Increase the number 230 by 15% ( 230 + 230 * 0.15 = 264.5 )
Reduce the number 510 by 35% ( 510 – 510 * 0.35 = 331.5 )
18% of the number 140 is (140 * 0.18 = 25.2)
Built-in math calculator will help you carry out the simplest calculations: multiplication and summation, subtraction, and division. Online degree calculator will quickly and accurately raise any number to the power of your choice.
The presented engineering calculator contains all possible variations of online programs for calculations. the site contains trigonometric calculator(angles and radians, degrees), logarithms(Log), factorials(n!), calculation of roots, sinuses And arctangents, cosines, tangents online- many trigonometric functions and more.
You can work with the computing program online from any device; in each case, the size of the interface will be adjusted to your device, or you can adjust its size to your taste.
Numbers can be entered in two ways:
- from mobile devices- input with phone or tablet display, program interface keys
- from a personal computer- using an electronic interface display, or through a computer keyboard using any numbers
Instructions for the functions of an engineering calculator
To understand the capabilities of the program, we give you brief instructions; for more details, see examples of online computing. The principle of working with a scientific calculator is as follows: enter the number with which the calculation will be performed, then press the function or operation button, then, if required, another number, for example, a degree, at the end - an equal sign.
- - inverse function for sin, cos, tan, switches the interface to other functions
- - natural logarithm to base “e”
- [ (] And [) ] - introduces parentheses
- - displays the integer part of a decimal number
- - hyperbolic sine
- - sine of a given angle
- - squaring (formula x^2)
- - calculates the factorial of the entered value - the product of n consecutive numbers, starting from one to the entered number itself, for example 4!=1*2*3*4, that is 24
- - converts from decimal form to format in degrees, minutes, seconds.
- - hyperbolic cosine
- - cosine of the angle
- - raising x to step. igrik (formula x^y)
- [y√x]- extracting the root to the y power of x
- - Pi number, gives the Pi value for calculations
- - hyperbolic tangent
- - online tangent, tg
- - helps to raise to the power of 3, to a cube (formula x^3)
- [3√x]- extract the cube root
- - switches entering numbers in exponential notation and back
- - allows you to enter data in exponential notation.
- - allows us to calculate the remainder when dividing one number by another
- - calculates the decimal logarithm
- - raising ten to an arbitrary power
- - calculates the reciprocal value
- - Raising Euler's number to a power
- - cuts off the whole part, leaving the fractional part
- - inverse hyperbolic sine
- - arcsine or inverse sine, arcsin or 1/sin
- - conversion of angle in degrees, minutes and seconds to decimal degrees, more details
- - inverse hyperbolic cosine
- - arcosine or inverse. cosine arccos or 1/cos
- - calculates Pi multiplied by two
- - return hyperbolic tangent
- - arctangent or inverse tangent, arctg
How to use MR MC M+ M- MS
How to use an engineering calculator - with examples
How to raise to a power
To construct, for example, 12^3, enter in the following sequence:
12 [ x y] 3 [=]
12, “x to the power of igrik” key, 3, equal sign [=]
Answer: 1728
How to find the cube root
Let's say we are taking the cube root of 729, press in this order:
729 [=]
729, [3 √x] “cube root of x”, equalities [=]
How to find a root on a calculator
Problem: Find the square root of 36.
Solution: it’s simple, click like this:
36 [ y√ x] 2 [=]
36, [y √x] “root of x, to the power igrik”, the power we need is 2, equal to [=]
Using this function you can find the root to any power, not just the square one.
How to square
For squaring, the online computing program contains two functions:
“x to the power of igrik”, “x squared”
The sequence of data entry is the same as before - first the original value, then “x^2” and equal, or if not a square, but an arbitrary number, you need to press the “x^y” function, then indicate the required degree and also press ".
For example: 45 6 [=]
Answer: forty-five in the sixth step. equals 8303765625
Trigonometric calculator online - examples
How to calculate online sines and cosines, tangents
Please note that the site can handle both degrees, radians and grads.
1 rad = 57.3°; 360° = 2π radian, 1 degree = 0.9 degrees or 1 degree = 0.015708 radian.
To enable one or another measurement mode, press the desired button:
where Deg - degrees, Rad - measurement in radians, Grad - in degrees. By default, the calculation mode in degrees is enabled.
As a simple example, let's find the sine of 90 degrees. Click:
90 [=]
Answer: one
Other trigonometric functions are also calculated, for example, let's calculate the cosine of 60°:
60 [=]
Solution: 0.5
In a similar way, the inverses are calculated trigonometric functions online on CALCPRO- arcsine, arccosine, arctangent, as well as hyperbolic functions sinh, cosh, tanh.
To enter them, you need to switch the interface by pressing , new buttons will appear - asin, acos, atan. The order of data entry is the same: first the value, then the symbol of the desired function, be it acsine or arccosine.
Conversion with Dms and Deg button on calculator
Allows you to convert an angle from degrees, minutes and seconds format to decimal degrees for calculations. performs a reverse translation - into the “degrees” format; minutes; seconds."
For example, angle 35 o 14 minutes 04 seconds 53 tenths of a second will be converted to tenths:
35,140453 [=] 35,23459166666666666666
Let's convert to the previous format: 35.23459166666666666666 [=] 35.140453
Decimal logarithm online
The decimal logarithm on a calculator is calculated as follows, for example, look for log unit to base 10, log10(1) or log1:
1 [=]
It turns out 0 in the end. To calculate lg100, press this:
100 [=]
Solution: two. How to check yourself? What is a decimal logarithm anyway - log to base 10. In our example, 2 is the power to which you need to enter the base of the logarithm, that is, 10, to get 100.
The natural logarithm is also calculated, but with the button.
How to use memory on a calculator
Existing memory buttons: M+, M-, MR, MS, MC.
The MS operation will help you add data to the program memory so that you can then carry out further calculations with it.
The MR will display the information stored in memory for you. MC will delete any data from memory. M- will subtract the number on the online display from the one stored in memory.
Example. Let's enter one hundred and forty-five into the program memory:
145
After carrying out other calculations, we suddenly needed to return the memorized number to the screen of the electronic calculator, simply click:
The screen will display 145 again.
Then we count again, count, and then decide to add, for example, 85 with the memorized 145, for this we press , or to subtract 85 from the memorized 145. In the first case, after returning the final number from memory with the button, the result will be 230, and in the second, after pressing, the result will be 60.
The site's engineering calculator will quickly and accurately perform complex calculations, greatly simplifying your tasks.
The list of calculators and functionality will expand, just add the site to your bookmarks and tell your friends!
Used to calculate mathematical expressions online. The calculator visually displays the entered expression and provides the answer with increased accuracy. Performs complex mathematical operations using functions such as trigonometric, logarithmic, factorials, and makes calculations with complex numbers, vectors and matrices, and also allows solve some simple equations(for example, square ones like 3x^2-2x+1=0), for which there is a variable in the key set x. Let's give some important tips on using the calculator:
- With a small screen resolution, the appearance of the calculator changes with the loss of some functions (for example, cotangent).
- Button 2nd in the upper left corner allows you to switch to the keys indicated in the upper corners (instead of sine, go to arcsine, instead of a parenthesis - to a square bracket, etc.).
- The calculator has a wide range of well-known constants (click on the button const).
- Press again = allows you to change the form of display of the result. For example, if the answer is received in the form of an exact expression (constants, roots, etc.), then pressing again = will calculate the expression and give a decimal answer.
- In an engineering calculator, angles are calculated in radians. If you want to set the angle in degrees, then use the multiplier: (pi/180). For example, to enter the expression sin(30°), write the expression: sin(30*(pi/180))
- When working with vectors, write the vector coordinates in parentheses: (a1, a2, a3); when working with matrices - in square ones, while brackets should also separate the rows of the matrix. For example: [,,] is a 3x3 square matrix.
This handy calculator performs basic arithmetic operations (addition, subtraction, multiplication, division) with positive and negative integers and fractions. Operations with percentages, exponentiation, root calculations, and logarithms are available.
Examples are provided for all possible actions. If you need additional features, then open the engineering calculator.
Arithmetic operations
Addition
Addition combines two numbers (addends) into one (sum of numbers).
2 3 =
Subtraction
Subtraction is the inverse operation of addition. Subtraction finds the difference between two numbers (the number being reduced minus the number being subtrahed).
3 − 2 =
Multiplication
Multiplication combines two numbers into one number—the product of numbers. The two original numbers are called the multiplicand and the multiplier.
2 × 3 =
Division
Division is the inverse operation of multiplication. Division finds the quotient of two numbers (the dividend divided by the divisor). Dividing any number by 0 is undefined.
4 ÷ 2 =
Operations with fractions
A fraction is a part of a whole or, more generally, any number of equal parts. A common (simple) fraction consists of a numerator, displayed above (or before) the slash, and a non-zero denominator, displayed below (or after) the slash. Operations with fractions are performed in the same way as with whole numbers.
1 ÷ 2 1 ÷ 4 =
Decimals
A decimal is a fraction whose denominator is not explicitly stated, but is understood as a whole number equal to ten to the power of one (10), two (100), three (1000), and so on.
2. 0 3 =
Finding the reciprocal of a number
Reverse number to x, denoted 1/x or x -1, is a number that, when multiplied by x gives one.
2 1/x =
Actions with interest
Percent - hundredth part (indicated by % ), used to indicate the proportion of something in relation to the whole.
Finding the percentage of a number
40 × 5% =
Increase (decrease) a number by a percentage
40 5% =
Exponentiation
Exponentiation is a mathematical operation written as x y, including two numbers: base x and exponent (or degree) y. When y- a positive integer, exponentiation corresponds to multiplying the base by itself: that is, x y- product of multiplication of y bases.
2 x y 4 =
Squaring a number
Expression x 2 called "square" x" or " x squared" because the area of a square with side length x equal to x× x or x 2.
2 x 2 =
Cube a number
Expression x 3 called "cube" x" or " x cubed" because the volume of a cube with side length x equals x× x× x or x 3.
2 x 3 =
Raising the number 10 to the power
Exponentiation with a base 10 used to indicate large or small numbers. For example, 299792458 m/s(speed of light in vacuum in meters per second) can be written as 2.99792458 × 10 8 m/s and then round to 2.998 × 10 8 m/s.
4 10 x =
In mathematics, a percentage is one hundredth of a number. For example, 5% of 100 is 5.
This calculator will allow you to accurately calculate the percentage of a given number. There are various calculation modes available. You will be able to make various calculations using percentages.
- The first calculator is needed when you want to calculate the percentage of the amount. Those. Do you know the meaning of percentage and amount?
- The second one is if you need to calculate what percentage X is of Y. X and Y are numbers, and you are looking for the percentage of the first in the second
- The third mode is adding a percentage of the specified number to the given number. For example, Vasya has 50 apples. Misha brought Vasya another 20% of the apples. How many apples does Vasya have?
- The fourth calculator is the opposite of the third. Vasya has 50 apples, and Misha took 30% of the apples. How many apples does Vasya have left?
Frequent tasks
Task 1. An individual entrepreneur receives 100 thousand rubles every month. He works in a simplified manner and pays taxes of 6% per month. How much taxes does an individual entrepreneur have to pay per month?Solution: We use the first calculator. Enter the bet 6 in the first field, 100000 in the second
We receive 6,000 rubles. - tax amount.
Problem 2. Misha has 30 apples. He gave 6 to Katya. What percentage of the total number of apples did Misha give to Katya?
Solution: We use the second calculator - enter 6 in the first field, 30 in the second. We get 20%.
Task 3. At Tinkoff Bank, for replenishing a deposit from another bank, the depositor receives 1% on top of the replenishment amount. Kolya replenished the deposit with a transfer from another bank in the amount of 30,000. What is the total amount for which Kolya’s deposit will be replenished?
Solution: We use the 3rd calculator. Enter 1 in the first field, 10000 in the second. Click on the calculation and we get the amount of 10,100 rubles.