# Real number calculator

## Result:

### 10 10

=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:

- Reciprocal

Calculate the reciprocal numbers for the given real numbers. - Exponential equation

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

Open intervals A = (x-2; 2x-1) and B = (3x-4; 4) are given. Find the largest real number for which A ⊂ B applies. - Mixing operations with numbers

Subtract twice the number -23.6 from the difference of the numbers -130 and -40.2. - Distance of numbers

Which number has the same distance from the numbers -5.65 and 7.25 on the numerical axis? - Imaginary numbers

Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum? - Quadratic equation

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

The residential house has three entrances numbered by odd numbers arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of these three numbers. - 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 cotan α = 1/3. Determine the value of sin α, cos α, tg α. - Logarithmic equation

Solve equation: log_{13}(7x + 12) = 0 - Trigonometric functions

In the right triangle is: ? Find the value of s and c: ? ? - Is complex

Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex? - Is equal

Is equal following terms? -9^{ 21}= (-9)^{ 21} - Biquadratic

By introducing a new variable solve biquadratic equation: ? - Coordinate

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

Event P has probability of 0.84. What is the probability that the event P occurs in 3, 5, 7 try.

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