Solving a Division and Multiplication Expression with Parentheses
To solve the expression \( 8 \div 2(2+2) \), you need to follow the order of operations, which is commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Here are the steps:
1. Parentheses: Calculate the expression within the parentheses first.
\( 2+2 = 4 \)
2. Multiplication and Division: Next, you perform multiplication and division from left to right.
\( 8 \div 2 \times 4 \)
We do the division first because it comes before multiplication as we read from left to right.
\( 4 \times 4 \)
3. Finally, you multiply the result.
\( 4 \times 4 = 16 \)
So the answer to the expression is \( 16 \).
