# Real number calculator

## Result:

### 0.75 0.75

=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). - 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? - Is complex

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

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. - 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? - 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? - The sum 15

The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy? - Equation with abs value

How many solutions has the equation (|x| +x) |x-3| = |x+1| in the real numbers? - On the number line

What number is exactly in the middle between 9.8 and -2.4 on the number line? - Two midpoints

Point A is on a number line halfway between -17 and 5 . Point B is halfway between Point A and 0. What integer does Point B represent? - Which 8

Which among the following real numbers below is the least? A. 5/8 B. 0.75 C. 7/10 D. 35/99 - 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 - 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 ? - 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.

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