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PEMDAS is a helpful acronym that stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). This order of operations is essential in solving any math problem correctly. Following PEMDAS ensures that everyone solves the problem in the same way, avoiding errors and confusion.
For example, in the expression \( 7 - 3 \cdot 6 \), identifying the correct sequence to perform operations according to PEMDAS, helps us to solve the problem correctly. First, we handle the multiplication \( 3 \cdot 6 \) before doing the subtraction.
Remember: Always follow PEMDAS to achieve accurate results in mathematics. Missing a step can lead to incorrect answers.

Subtraction is one of the basic operations in mathematics and represents the process of taking one quantity away from another. The result of a subtraction operation is called the 'difference'.
In our example \( 7 - 3 \cdot 6 \), after performing the multiplication resulting in 18, the new expression becomes \( 7 - 18 \).
This step follows simple subtraction: take the smaller number from the larger number. Subtraction can sometimes result in negative numbers, as seen here:
\[ 7 - 18 = -11 \]
This indicates that if you take away 18 from 7, you end up with a negative difference (\( -11 \)).

Multiplication involves combining equal groups, which simplifies adding a number repeatedly. It's an essential operation that often precedes others in order of operations.
In the expression \( 7 - 3 \cdot 6 \), multiplication must be done first according to PEMDAS. Here, \[ 3 \cdot 6 = 18 \]
Once we've performed the multiplication, the expression simplifies, and we move on to the next operation.
Remember: Multiplication significantly impacts the value of an expression and must be performed before addition or subtraction.