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:

• Evaluate 18
  Evaluate the expression (-4-7i)-(-6-9i) and write the result in the form a+bi (Real + i* Imaginary).
• Fruit punch 2
  Alberto makes fruit punch with 24.2 ounces of apple juice and 18.4 ounces of pineapple juice. He splits the fruit punch equally into 6 glasses. How much fruit punch is in each glass?
• Is equal
  Is equal following terms? -9 ²¹ = (-9) ²¹
• Imaginary numbers
  Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum?
• Write 3
  Write a real-world problem involving the multiplication of a fraction and a whole number with a product that is between 8 and 10, then solve the problem.
• The diameter 2
  The diameter of the Earth is 12,756 kilometers. If Mercury's diameter is about 7,876.6 kilometers shorter than that of the Earth, what is the diameter of Mercury?
• Is complex
  Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
• Equation with abs value
  How many solutions has the equation ? in the real numbers?
• Subtract 4
  Subtract the following decimals. a. 0.98 - 0.053 b. 0.67 - 0.4 c. 0.3 - 0.002 d. 3.2 - .789 e. 6.53 - 4.298 f. 6 - 4.32 g. 7 - 3.574 h. 4.83 - 1.8 i. 3.7 - 1.8 j. 16.17 - 11.632
• The sum 15
  The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy?
• Logarithmic equation
  Solve equation: log₁₃(7x + 12) = 0
• 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.
• Quadratic equation
  Determine the numbers b, c that the numbers x₁ = -1 and x₂ = 3 were roots of quadratic equation: -3x ² + b x + c = 0
• Mixing operations with numbers
  Subtract twice the number -23.6 from the difference of the numbers -130 and -40.2.
• Marlon
  Marlon drew a scale drawing of a summer camp. In real life, the sand volleyball court is 8 meters wide. It is 4 centimeters wide in the drawing. What is the drawing's scale factor? Simplify your answer and write it as a ratio, using a colon.
• Bubble bee marbles
  Mark has 100 marbles. Seventeen are bubble bee marbles. What decimal number shows the fraction of marbles that are bumblebees?

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