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:

• 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 x₁ = -1 and x₂ = 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: log₁₃(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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