# Real number calculator

## Result:

### 3*[8-(-1) + (-3)÷(-3)]^2 = 300

### Calculation steps

- Subtract: 8 - (-1) = 8 + 1 = 9
- Divide: -3 / (-3) = 1
- Add: the result of step No. 1 + the result of step No. 2 = 9 + 1 = 10
- Exponentiation: the result of step No. 3 ^ 2 = 10 ^ 2 = 100
- Multiple: 3 * the result of step No. 4 = 3 * 100 = 300

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:

- Square area

Complete the table and then draw each square. Provide exact lengths. Describe any problems you have. Side Length Area Square 1 1 unit^{2}Square 2 2 units^{2}Square 3 4 units^{2} - Square

Danov's father has a square of 65.25 milligram square of wire with a diagonal. How will the square be big when one mm weighs 7 mg? - Square sides

If the square side increases by 28%, the square circumference increases by 11.2 meters. Find the length of the original square side. - The square

The square root of 25 times the square root of 81 is what number? - Square

If we increase one side of square by its one-half then square perimeter increase by 10 cm. What is the side of the square? - Extending square garden

Mrs. Petrová's garden had the shape of a square with a side length of 15 m. After its enlargement by 64 m^{2}(square), it had the shape of a square again. How many meters has the length of each side of the garden been extended? - Rectangle vs square

One side of the rectangle is 1 cm shorter than the side of the square, the second side is 3 cm longer than the side of the square. Square and rectangle have the same content. Calculate the length of the sides of a square and a rectangle. - Square sides

If we enlarge the side of the square by a third, its circumference will be 20 cm larger than the original. What is the side of the square? - Outside point

The square ABCD and the point E lying outside the given square are given. What is the area of the square when the distance | AE | = 2, | DE | = 5 a | BE | = 4? - Folded square

ABCD is a square. The square is folded on the midpoint of AB, and A is folded onto the fold, creating a shaded region. The perimeter of the shaded figure is 75. Find the area of square ABCD - Square 2

Points D[10,-8] and B[4,5] are opposed vertices of the square ABCD. Calculate area of the square ABCD. - Squares

A square of 12 dm perimeter is cut smaller square, whose side is the third side of the square. What is the area of the rest? - Coordinates of square vertices

The ABCD square has the center S [−3, −2] and the vertex A [1, −3]. Find the coordinates of the other vertices of the square. - Square vs rectangle

Square and rectangle have the same area contents. The length of the rectangle is 9 greater and width 6 less than side of the square. Calculate the side of a square. - Cutting square

From a square with a side of 30 cm, we cut the circle with the highest possible diameter. How many percents of the square content is this circle? - Recursion squares

In the square, ABCD has inscribed a square so that its vertices lie at the centers of the sides of the square ABCD. The procedure of inscribing the square is repeated this way. The side length of the square ABCD is a = 22 cm. Calculate: a) the sum of peri - Square side

If we enlarge the square side a = 5m, its area will increase by 10,25%. How many percent will the side of the square increase? How many percent will it increase the circumference of the square?

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