The order of operations can be remembered using the acronym PEMDAS, where P stands for Parentheses, E stands for Exponents, MD stands for Multiplication and Division, and AS stands for Addition and Subtraction.
To simplify
3(1 + 8 · 6) − 82,
the expression within the grouping symbols must be simplified first. Note that both multiplication and addition are within the parentheses, and multiplication must be performed before addition.
3(1 + 8 · 6) − 82 | = | 3(1 + 48) − 82 |
| = | 3(49) − 82 |
The next step is to simplify any exponents.
In the expression
3(49) − 64,
the
3(49)
means that
3
is multiplied by
49, and since multiplication precedes subtraction in the order of operations, the expression
3(49) − 64
simplifies as follows.
3(49) − 64 = 147 − 64 = 83
Hence,
3(1 + 8 · 6) − 82 = 83.