Miles calculator online. Engineering calculator

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 % ), is 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 =

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.

A percentage is one hundredth of a number taken as a whole. Percentages are used to indicate the relationship of a part to the whole, as well as to compare quantities.

1% = 1 100 = 0,01

The interest calculator allows you to perform the following operations:

Find the percentage of a number

To find the percentage p from a number, you need to multiply this number by a fraction p 100

Let's find 12% of the number 300:
300 12 100 = 300 · 0.12 = 36
12% of 300 is 36.

For example, a product costs 500 rubles and there is a 7% discount on it. Let's find the absolute value of the discount:
500 7 100 = 500 · 0.07 = 35
Thus, the discount is 35 rubles.

What percentage is one number of another?

To calculate the percentage of numbers, you need to divide one number by another and multiply by 100%.

Let's calculate what percentage the number 12 is from the number 30:
12 30 · 100 = 0.4 · 100 = 40%
The number 12 is 40% of the number 30.

For example, a book contains 340 pages. Vasya read 200 pages. Let's calculate what percentage of the entire book Vasya read.
200 340 · 100% = 0.59 · 100 = 59%
Thus, Vasya read 59% of the entire book.

Add percentage to number

To add to a number p percent, you need to multiply this number by (1 + p 100)

Add 30% to the number 200:
200 (1 + 30 100 ) = 200 1.3 = 260
200 + 30% equals 260.

For example, a swimming pool subscription costs 1000 rubles. Starting next month they promised to raise the price by 20%. Let's calculate how much a subscription will cost.
1000 (1 + 20 100 ) = 1000 1.2 = 1200
Thus, the subscription will cost 1200 rubles.

Subtract the percentage from the number

To subtract from a number p percent, you need to multiply this number by (1 - p 100)

Subtract 30% from the number 200:
200 · (1 - 30 100 ) = 200 · 0.7 = 140
200 - 30% equals 140.

For example, a bicycle costs 30,000 rubles. The store gave it a 5% discount. Let's calculate how much the bike will cost taking into account the discount.
30000 · (1 - 5 100 ) = 30000 0.95 = 28500
Thus, the bike will cost 28,500 rubles.

What percentage is one number greater than another?

To calculate how many percent one number is greater than another, you need to divide the first number by the second, multiply the result by 100 and subtract 100.

Let's calculate how many percent the number 20 is greater than the number 5:
20 5 · 100 - 100 = 4 · 100 - 100 = 400 - 100 = 300%
The number 20 is 300% greater than the number 5.

For example, the boss’s salary is 50,000 rubles, and the employee’s salary is 30,000 rubles. Let's find out how many percent the boss's salary is greater:
50000 35000 · 100 - 100 = 1.43 * 100 - 100 = 143 - 100 = 43%
Thus, the boss's salary is 43% higher than the employee's salary.

What percentage is one number less than another?

To calculate how many percent one number is less than another, you need to subtract from 100 the ratio of the first number to the second, multiplied by 100.

Let's calculate how many percent the number 5 is less than the number 20:
100 - 5 20 · 100 = 100 - 0.25 · 100 = 100 - 25 = 75%
The number 5 is 75% less than the number 20.

For example, freelancer Oleg completed orders worth 40,000 rubles in January, and 30,000 rubles in February. Let's find how many percent less Oleg earned in February than in January:
100 - 30000 40000 · 100 = 100 - 0.75 * 100 = 100 - 75 = 25%
Thus, in February Oleg earned 25% less than in January.

Find 100 percent

If the number x This p percent, then you can find 100 percent by multiplying the number x on 100p

Let's find 100% if 25% is 7:
7 · 100 25 = 7 4 = 28
If 25% equals 7, then 100% equals 28.

For example, Katya copies photos from her camera to her computer. In 5 minutes, 20% of the photos were copied. Let's find how long the copying process takes:
5 · 100 20 = 5 5 = 25
We find that the process of copying all photos takes 30 minutes.

Engineering calculator online

We are happy to present everyone with a free engineering calculator. With its help, any student can quickly and, most importantly, easily perform various types of mathematical calculations online.

The calculator is taken from the site - web 2.0 scientific calculator

A simple and easy-to-use engineering calculator with an unobtrusive and intuitive interface will truly be useful to a wide range of Internet users. Now, whenever you need a calculator, go to our website and use the free engineering calculator.

An engineering calculator can perform both simple arithmetic operations and quite complex mathematical calculations.

Web20calc is an engineering calculator that has a huge number of functions, for example, how to calculate all elementary functions. The calculator also supports trigonometric functions, matrices, logarithms, and even graphing.

Undoubtedly, Web20calc will be of interest to that group of people who, in search of simple solutions, type in search engines the query: online mathematical calculator. A free web application will help you instantly calculate the result of some mathematical expression, for example, subtract, add, divide, extract the root, raise to a power, etc.

In the expression, you can use the operations of exponentiation, addition, subtraction, multiplication, division, percentage, and the PI constant. For complex calculations, parentheses should be included.

Features of the engineering calculator:

1. basic arithmetic operations;
2. working with numbers in a standard form;
3. calculation of trigonometric roots, functions, logarithms, exponentiation;
4. statistical calculations: addition, arithmetic mean or standard deviation;
5. use of memory cells and custom functions of 2 variables;
6. work with angles in radian and degree measures.

The engineering calculator allows the use of a variety of mathematical functions:

Extracting roots (square, cubic, and nth root);
ex (e to the x power), exponential;
trigonometric functions: sine - sin, cosine - cos, tangent - tan;
inverse trigonometric functions: arcsine - sin-1, arccosine - cos-1, arctangent - tan-1;
hyperbolic functions: sine - sinh, cosine - cosh, tangent - tanh;
logarithms: binary logarithm to base two - log2x, decimal logarithm to base ten - log, natural logarithm - ln.

This engineering calculator also includes a quantity calculator with the ability to convert physical quantities for various measurement systems - computer units, distance, weight, time, etc. Using this function, you can instantly convert miles to kilometers, pounds to kilograms, seconds to hours, etc.

To make mathematical calculations, first enter a sequence of mathematical expressions in the appropriate field, then click on the equal sign and see the result. You can enter values ​​directly from the keyboard (for this, the calculator area must be active, therefore, it would be useful to place the cursor in the input field). Among other things, data can be entered using the buttons of the calculator itself.

To build graphs, you should write the function in the input field as indicated in the field with examples or use the toolbar specially designed for this (to go to it, click on the button with the graph icon). To convert values, click Unit; to work with matrices, click Matrix.

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
. period (comma) 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)



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