# How do you simplify 27 - 13 * 2 +17(6 - 5)?

Apr 9, 2015

The order of operations for numeric expressions:

1. anything inside parentheses
2. exponents
3. multiplication and division (usually left to right)
4. addition and subtraction (usually left to right)

So following this sequence
$27 - 13 \cdot 2 + 17 \left(6 - 5\right)$
$= 27 - 13 \cdot 2 + 17 \left(1\right)$
$= 27 - 26 + 17 \left(1\right)$
$= 27 - 26 + 17$
$= 1 + 17$
$= 18$

Note that the "left to right" sub-rule is important since
$\left(27 - 26\right) + 17 \ne 27 - \left(26 + 17\right)$