# Real number calculator

The calculator makes basic and advanced operations with real numbers, natural numbers, integers, rational and irrational numbers. It also shows detailed step-by-step information about calculation procedure. Solve problems with two, three, or more real numbers in one expression. Add, subtract, and multiply real numbers step-by-step. This calculator performs addition, subtraction, multiplication, or division for calculations on positive or negative real numbers. This online real number calculator will help you understand how to add, subtract, multiply, or divide real numbers.

Real numbers are numbers that can be found on the number line. This includes the natural numbers( 1,2,3 ...), integers (-3) rational (fractions) and irrational numbers (like √2 or π). Positive or negative, large or small, whole numbers or decimal numbers are all real numbers. Imaginary numbers and complex numbers cannot be draw in number line, but in complex plane.

#### Examples:

addition of real numbers: -3/2 + pi/2
subtraction of real numbers: 32.14 - 67.32
parenthesis: sin(pi/2) * (1.1+2.2+3.3)
Complex example: Priority of operators and brackets: 3⋅[8−(−1) + (−3)÷(−3)]^2

## Real numbers in word problems:

• Is equal Is equal following terms? ?
• Is complex Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
• Logarithmic equation Solve equation: log33(3x + 21) = 0 Determine the numbers b, c that the numbers x1 = -1 and x2 = 3 were roots of quadratic equation: ?
• Exponential equation Solve exponential equation (in real numbers): 98x-2=9
• Equation Eequation f(x) = 0 has roots x1 = 64, x2 = 100, x3 = 25, x4 = 49. How many roots have equation f(x2) = 0 ?
• Coordinate Determine missing coordinate of the point M [x, 120] of the graph of the function f bv rule: y = 5x
• Root Use law of square roots roots: ?
• Factors Can the expression ? be factored into rational factors?
• Geometric mean Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines.
• Cotangent If the angle α is acute, and cotg α = 1/3. Determine the value of sin α, cos α, tg α. How many products weighing 12.5 kg can be loaded on a cargo car with a load of 1.5 t to load two-thirds? For given real numbers, calculate reciprocal number. F(x)=x2-7x and g(x)=5-x2 Domain of (fg)(x) is. .. . . Domain of (f/g)(x). .. From the equation of a circle: ? Calculate the coordinates of the center of the circle S[x0, y0] and radius of the circle r. Find cube root of 18 Flight length 3457 km took 5 hours. The airport passengers had to arrive hours in advance, 2 hours. Departure was delayed for 6.4 hours. The destination airport formalities took 0.4 hours. Calculate the average speed of passenger travel from arrival to le