What is the answer to 2+5(8-5)=?
The Correct Answer and Explanation is :
The correct answer is: 17
To solve the expression (2 + 5(8 – 5)), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Step 1: Evaluate the expression inside the parentheses
First, we need to calculate what’s inside the parentheses:
[
8 – 5 = 3
]
Step 2: Replace the parentheses in the original expression
Now, substitute the result back into the expression:
[
2 + 5(3)
]
Step 3: Perform the multiplication
Next, we perform the multiplication:
[
5 \times 3 = 15
]
Step 4: Substitute the multiplication result back into the expression
Now, substitute this result into the expression:
[
2 + 15
]
Step 5: Perform the addition
Finally, we add the two numbers together:
[
2 + 15 = 17
]
Thus, the answer to the expression (2 + 5(8 – 5)) is (17).
Explanation of the Order of Operations
The order of operations is crucial in mathematics to ensure that expressions are evaluated consistently. Without a standard order, different interpretations could lead to various answers.
In our expression, we started by addressing the parentheses, which indicates that any calculations inside them should be completed first. Following this, we handled multiplication before addition, which is essential because multiplication can be thought of as repeated addition. The structure provided by PEMDAS helps avoid ambiguity and ensures clarity in mathematical communication.
In summary, applying the order of operations accurately gives us a definitive answer of (17) for the expression (2 + 5(8 – 5)).