Editing Order of operations (section)

===Examples===

Multiplication before addition:
: <math>1 + 2 \times 3 = 1 + 6 = 7 .</math>

Parenthetical subexpressions are evaluated first:
: <math>(1 + 2) \times 3 = 3 \times 3 = 9 .</math>

Exponentiation before multiplication, multiplication before subtraction:
: <math>1 - 2 \times 3 ^ 4 = 1 - 2 \times 81 = 1 - 162 = -161 .</math>

When an expression is written as a superscript, the superscript is considered to be grouped by its position above its base:
: <math>1+2^{3+4} = 1+2^7 = 1+128 = 129 .</math>

The operand of a root symbol is determined by the overbar:
: <math>\sqrt{1 + 3} + 5 = \sqrt 4 + 5 = 2 + 5 = 7.</math>

A horizontal fractional line forms two grouped subexpressions, one above divided by another below:
: <math>\frac{1 + 2}{3 + 4} + 5 = \frac{3}{7} + 5.</math>

Parentheses can be nested, and should be evaluated from the inside outward. For legibility, outer parentheses can be made larger than inner parentheses. Alternately, other grouping symbols, such as curly braces {{nowrap|{ }}} or square brackets {{nowrap|[ ]}}, are sometimes used along with parentheses {{nowrap|( )}}. For example: 
: <math>\bigl[ (1 + 2) \div (3 + 4) \bigr] + 5 = (3 \div 7) + 5 </math>