Question

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

$18·3\left(1÷3\right)$

Short answer

The value of the given expression is $18$.

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.

$$\begin{gathered} 18·3\left(1÷3\right)=18·3·\frac{1}{3}\left[\mathrm{Substitution}\right] \\ =18·1\left[\mathrm{Multiplicative}\mathrm{inverse}\right] \end{gathered}$$

Step 3. Simplifying the expression.

$18·1=18\left[\mathrm{Multiplicative}\mathrm{identity}\right]$