# Calculator 2nd power and order of evaluation

### 6^2-(2 * 7 + 4^2) = 6

Spelled result in words is six.### Calculation steps

- Exponentiation: 6 ^ 2 = 36
- Multiple: 2 * 7 = 14
- Exponentiation: 4 ^ 2 = 16
- Add: the result of step No. 2 + the result of step No. 3 = 14 + 16 = 30
- Subtract: the result of step No. 1 - the result of step No. 4 = 36 - 30 = 6

**order of operations**. The most common mnemonics for remembering this order of operations are:

**PEMDAS**- Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

**BEDMAS**- Brackets, Exponents, Division, Multiplication, Addition, Subtraction

**BODMAS**- Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.

**GEMDAS**- Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.

Be careful, always do

**multiplication and division**before

**addition and subtraction**. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.

## Decimals in word problems:

- Factors

Can the expression ? be factored into rational factors? - Parallelogram - side

Calculate the length of the side of a parallelogram whose area is 175 dm^{2}and height to that side is 24.2 dm long. - Car factory

The carmaker now produces 2 cars a day more than last year, so the production of 70312 cars will save just one full working day. How many working days needed to manufacture 70312 cars last year? - Floor

The floor area of the room is 31 m^{2}and has a width of 4.3 m. How many centimeters of circumference measured the floor on the map at the scale 1:75? - Scale

The swimming pool is long 110 m and 30 m wide. The plan of the city is shown as a rectangle with an area 8.25 cm^{2}. What scale is the city plan? - Rectangular cuboid

The rectangular cuboid has a surface area 5334 cm^{2}, and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.

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