Q8. - Algebra 1

Question

Evaluate each expression. Name the property used in each step.

$\frac{2}{9}\left[9÷\left(7-5\right)\right]$

Step-by-Step Solution

Answer

The value of the given expression is.

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 parentheses.

$\begin{array}{c}\frac{2}{9}\left[9÷\left(7-5\right)\right]=\frac{2}{9}\left[9÷2\right]\\ =\frac{2}{9}\times \frac{9}{2}\end{array}$

Step 3. Simplifying the expression.

$$\begin{gathered} \frac{2}{9}\left[9÷\left(7-5\right)\right]=\frac{2}{9}\times \frac{9}{2}\left[\text{Multiplicative inverse}\right] \\ =1 \end{gathered}$$