31.06 - Order of operations

Operation: An action that can be done with two numbers, like addition or multiplication.

Operator: A symbol that defines the operation enacted between two numbers.

There are a set of rules in the event that a calculation has multiple operations. These rules are called (i think) the order of operations

The set of rules, in order, are as follows:

1. Parentheses: $\boxed{(5+5)}+1$
2. Exponents: $\boxed{2^2}\times 5$
3. Multiplication and division: $\stackrel{1}{\boxed{2\times 2}}+\stackrel{2}{\boxed{3÷5}}$
4. Addition and subtraction: $\stackrel{2}{\boxed{2+\stackrel{1}{\boxed{2-5}}}}$ If multiple operations of the same level exists, you go left to right (see numbers above boxes)

An example of this can be the following:

$$\stackrel{6}{\boxed{\stackrel{5}{\boxed{3+\stackrel{4}{\boxed{65\times \stackrel{3}{\boxed{{\left(\stackrel{2}{\boxed{\stackrel{1}{\boxed{10÷5}}\times 2}}\right)}^2}}}}}}-2}}$$

next article

The next article will go over integer and prime factorisation