Evaluate the Expression 4+5x5-2
In math algebra, evaluating an expression such as 4+5x5-2 requires the correct order of operations (often summarized by PEMDAS/BODMAS). Since there are no parentheses or exponents here, the key rule is: multiplication is performed before addition and subtraction.
Order of operations focus: compute \(5 \times 5\) first, then complete \(+\) and \(-\) from left to right.
Step 1: Identify operations
The expression \(4+5x5-2\) contains:
| Part | Operation | Priority |
|---|---|---|
| \(5x5\) | Multiplication | Highest (do first) |
| \(4+\dots\) | Addition | After multiplication |
| \(\dots-2\) | Subtraction | After multiplication (left to right with addition) |
Step 2: Perform multiplication first
Compute the product:
\[ 5 \cdot 5 = 25 \]
Substitute back into the expression:
\[ 4 + 25 - 2 \]
Step 3: Complete addition and subtraction left to right
First add:
\[ 4 + 25 = 29 \]
Then subtract:
\[ 29 - 2 = 27 \]
Final value: \(\boxed{27}\).
Visualization: Timeline of operations
Final answer
\[ 4 + 5 \cdot 5 - 2 = 27 \]