Question

Evaluate the expression.
$52+12.5\cdot 4$

Short answer

The value of the expression is102.

Step-by-step solution

Step-1 – Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step-2 – Multiply 12.5 and 4

In the given expression, there is no grouping symbols and exponents in it. So, to evaluate the expression first multiply 12.5 and 4 to get

$\begin{array}{l}52+12.5\cdot 4\\ =52+50\end{array}$

Step-3 – Add the resulting numbers

Now to simplify further, add the numbers to get

$\begin{array}{l}52+12.5\cdot 4\\ =52+50\\ =102\end{array}$

Thus, the value of the expression is 102.