Question

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

$\left[5÷\left(8-6\right)\right]\frac{2}{5}$

Short answer

The value of the given expression is $1$.

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.

$$\begin{gathered} \left[5÷\left(8-6\right)\right]\frac{2}{5}=\left[5÷2\right]\frac{2}{5} \\ =\frac{5}{2}·\frac{2}{5} \\ =1\left[\mathrm{Multiplicative}\mathrm{invurse}\right] \end{gathered}$$

Step 3. Simplifying the expression.

$\frac{5}{2}·\frac{2}{5}=1\left[\mathrm{Multiplicative}\mathrm{invurse}\right]$