Real number calculator
This calculator makes basic and advanced operations with real, natural, integers, and rational and irrational numbers. It also shows detailed step-by-step information about the 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 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 and complex numbers cannot be drawn in a number line but in a complex plane.
Real numbers in word problems:
- Expanded form
What is the expanded form of 0.21?
- Evaluate 18
Evaluate the expression (-4-7i)-(-6-9i) and write the result in the form a+bi (Real + i* Imaginary).
- Is complex
Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
- Decimal number
I am a decimal number between 0.3 and 0.5. the digit in my hundredth place is five more than the digit in tenth place, off the number in tenth place is 4. what is the number?
- Complex plane mapping
Show that the mapping w = z +c/z, where z = x+iy, w = u+iv, and c is a real number, maps the circle |z| = 1 in the z-plane into an ellipse in the (u, v) plane.
- The diameter 2
The diameter of the Earth is 12,756 kilometers. If Mercury's diameter is about 7,876.6 kilometers shorter than Earth's, what is Mercury's diameter?
- Sequentially 35731
There are 6 different tickets marked with numbers 1 to 6 in the pocket. In how many different ways can we sequentially, taking into account the order, choose three of them, if the chosen tickets return to the pocket?
- Is equal
Is it 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 their sum?
- 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 six glasses. How much fruit punch is in each glass?
- Write 3
Write a real-world problem involving the multiplication of a fraction and a whole number with a product between 8 and 10, then solve the problem.
- Scientific notation mul
A student found the product of 8 × 10³ and 7 × 105 to be 5.6 × 108. What is the error? What is the correct product? Complete the explanation.
- Two midpoints
Point A is on a number line halfway between -17 and 5. Point B is halfway between points A and 0. What integer does Point B represent?
- The sum 15
The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy?
- On the number line
What number is exactly in the middle between 9.8 and -2.4 on the number line?
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