Q7. - Algebra 1

Question

Evaluate each expression.

$13+\left(16-4^2\right)$

Step-by-Step Solution

Answer

The value of the given expression is 13.

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. Solving exponent.

$13+\left(16-4^2\right)=13+\left(16-16\right)\left[\text{Solving exponents}\right]$

Step 3. Simplifying the expression.

$\begin{array}{c}13+\left(16-16\right)=13+0\left[\text{Solving parentheses}\right]\\ =13 \left[\text{Additive identity}\right]\end{array}$