Order of Operations
the rules that lets you know which operation to perform first
The order of operations is a set of rules that tells you which mathematical operations to perform first in a given expression. It is important to follow these rules in order to get the correct answer.
The order of operations is commonly remembered using the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Here’s an example of how to use the order of operations when solving an expression:
Simplify 8 + 2 x 4 – 3
Using the order of operations, we perform multiplication before addition and subtraction, and we perform operations inside parentheses before anything else.
Step 1: Parentheses
There are no parentheses in the expression, so we move on to the next step.
Step 2: Exponents
There are no exponents in the expression, so we move on to the next step.
Step 3: Multiplication and Division
We start from left to right. The first operation is multiplication, so we must perform 2 x 4, which equals 8. This leaves us with:
8 + 8 – 3
Step 4: Addition and Subtraction
Next, we perform addition and subtraction from left to right. First, we add 8 and 8, which equals 16. Then, we subtract 3 from 16, which gives us the final answer of 13.
Therefore, the simplified expression is 13.
In summary, the order of operations is an important concept to keep in mind when evaluating mathematical expressions. Remember to perform operations in this order: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
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