Question

Evaluate each expression using properties of numbers. Name the property used in each step.

$\left(16-4^2\right)+9$

Short answer

The value of the given expression is $9$.

Step-by-step solution

Step 1. Method of applying the order of operations.

1. Evaluate expressions inside grouping symbols.
2. Evaluate all powers.
3. Multiply and/or divide in order from left to right.
4. Add or subtract in order from left to right.

Step 2. Evaluating the expression.

$$\begin{gathered} \left(16-4^2\right)+9=\left(16-16\right)+9\left[\mathrm{Substitution}\right] \\ =0+9\left[\mathrm{Substitution}\right] \end{gathered}$$

Step 3. Simplifying the expression.

$0+9=9\left[\mathrm{Additive}\mathrm{identity}\right]$