# 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:

- Calculation

How much is sum of square root of six and the square root of 225? - Chi square

A manufacturer of phone batteries claims that his batteries' lives are approximately normally distributed with a standard deviation equal to 0.9 years. If a random sample of 10 of these batteries has a standard deviation of 1.2 years. Do you think that th - Geometric progression 4

8,4√2,4,2√2 - Swimming pool

A swimming pool 30 meters long is filled with water to a depth of 1 meter at the shallow end, and 5 meters at the deep end and abcd the vertical area of the pool has the shape of a trapezium with the area given by S(abcd)= 1/2 (ab + cd) x ad. What is the - Kitchen

Kitchen roller has a diameter 70 mm and width of 359 mm. How many square millimeters roll on one turn? - Binomials

To binomial 36x^{2}-168x add a number to the resulting trinomial be square of binomial. - Cube surface area

The Wall of the cube has a content area 99 cm square. What is the surface of the cube? - Numeric question

It is possible negative irrational number? - If x=4

If x=4 and y=-3, what is the value of the expression x² + 2xy - 4x + 3y + y²? - Harmonic mean

Harmonic means of 6 and 12 - Geometric progression

Fill 4 numbers between 4 and -12500 to form geometric progression. - Primes 2

For what primes p,q,r is true: p^{2}-(q+r)^{2}=647 - Simplify

Simplify powers multiplication: (3+2^{2})(5-4^{2}) - Evaluate 5

Evaluate expression x^{2}−7x+12x−4 when x=−1 - The square

Calculate the area and perimeter of a square with side a = 15 dm S =, O = - The square

The square root of 25 times the square root of 81 is what number? - Cone and cube

About what percentage hase cone with base radius r larger volume than same high cube with square base with edge length r?

next math problems »