# Real number calculator

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: log_{33}(3x + 21) = 0 - Quadratic equation

Determine the numbers b, c that the numbers x_{1}= -1 and x_{2}= 3 were roots of quadratic equation: ? - Exponential equation

Solve exponential equation (in real numbers): 9^{8x-2}=9 - Equation

Eequation f(x) = 0 has roots x_{1}= 64, x_{2}= 100, x_{3}= 25, x_{4}= 49. How many roots have equation f(x^{2}) = 0 ? - Coordinate

Determine missing coordinate of the point M [x, 120] of the graph of the function f bv rule: y = 5^{x} - 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. - Cargo load

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? - Reciprocal

For given real numbers, calculate reciprocal number. - Domains of functions

F(x)=x^{2}-7x and g(x)=5-x^{2}Domain of (fg)(x) is. .. . . Domain of (f/g)(x). .. - Circle

From the equation of a circle: ? Calculate the coordinates of the center of the circle S[x_{0}, y_{0}] and radius of the circle r. - Cube root

Find cube root of 18 - Aircraft

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

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