An expression is given. 3 * (8 + 2) / 2 Which statement is true about the parentheses in this expression? (5.4E)
In the expression 3 * (8 + 2) / 2, the parentheses play a crucial role in determining the order of operations. Specifically, they indicate that the addition inside the parentheses should be performed before the multiplication and division.
To understand why, follow the general order of operations, also known as PEMDAS:
1. Parentheses: Perform any calculations inside parentheses first.
2. Exponents: Evaluate any exponentiation or powers.
3. Multiplication and Division: Execute multiplication and division from left to right.
4. Addition and Subtraction: Perform addition and subtraction from left to right.
By following PEMDAS, let's break down the expression step by step:
1. Evaluate the addition in the parentheses: 8 + 2 = 10.
2. Now, the expression becomes: 3 * 10 / 2.
3. Perform the multiplication: 3 * 10 = 30.
4. Finally, perform the division: 30 / 2 = 15.
Therefore, the statement that is true about the parentheses in the given expression is that they indicate the addition operation should be performed before the other operations.