# Beta version

BETA TEST VERSION OF THIS ITEM

This online calculator is currently under heavy development. It may or it may NOT work correctly.

You CAN try to use it. You CAN even get the proper results.

However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.

Feel free to send any ideas and comments !

This online calculator is currently under heavy development. It may or it may NOT work correctly.

You CAN try to use it. You CAN even get the proper results.

However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.

Feel free to send any ideas and comments !

# Order of operations

Order (precedence) | Operation name | Operation symbol |

1 | curly brackets | Show source$\{\}$ |

2 | square brackets | Show source$[]$ |

3 | curly brackets | Show source$()$ |

3 | exponentiation and root | Show source$\begin{aligned}x^n\\ \sqrt[n]{x}\end{aligned}$ |

4 | multiplication and division | Show source$\begin{aligned}x \cdot y\\ x \div y\\ x/y\\ x:y \\ \frac{x}{y}\end{aligned}$ |

5 | addition and subtraction | Show source$\begin{aligned}x+y \\ x-y \end{aligned}$ |

# Some facts

- If
**arithmetic expression**contains more than one operation (e.g. addition and multiplication), then in the general case we can get**different results**depending on**applied operation order**. - To solve this problem we should follow the
**common operation order**rules was developed. - To get correct result, we should perform arithmetic operations in the following order:

**operations in brackets**- curly brackets first (the highest precedence), square brackets and finally expressions in round brackets (the lowest precedence),

ⓘ Example: In the expression $2 \cdot \boxed{\left(3 + 4\right)}$ we should perform**addition in brackets**first, and the multiplication next.**exponentiation and root**,

ⓘ Example: In the expression $2 \cdot \boxed{3^4}$ we should perform exponentiation first (raise three to power four), and perform multiplication next.**multiplication and division**,

ⓘ Example: In the expression $\boxed{2 \cdot 3} + 4$ we should perform multiplication first, and addition next.**addition and subtraction**.

ⓘ Example: In the expression $2 - 3 + 4$ the order of operations**doesn't matter**, we can perform addition first, and subtraction next or vice versa. The addition and subtraction have the same precedence.

- If you want to know more about
**properties**of various**math operations**check out our other table: Number operations.

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