Evaluate the expression.

 Evaluate the expression.

Do not round your answer.

$5-\dfrac{3^2}{2}=$5, minus, start fraction, 3, squared, divided by, 2, end fraction, equals 

Hint #11 / 3

Strategy

We need to agree on a set of rules so anyone would get the same value when they evaluate the same expression.

• First, we evaluate operations inside of grouping symbols. 
  [Examples]
• Next, we evaluate any exponents.
• Then, we calculate multiplication and division.
• Last, we calculate addition and subtraction.

Hint #22 / 3

Step-by-step

Step	Explanation
$5-\dfrac{\blueE{3^2}}{2}$5, minus, start fraction, start color #0c7f99, 3, squared, end color #0c7f99, divided by, 2, end fraction	Find $\blueE{3^2}$start color #0c7f99, 3, squared, end color #0c7f99, which is $\blueE3\cdot\blueE3$start color #0c7f99, 3, end color #0c7f99, dot, start color #0c7f99, 3, end color #0c7f99.
$=\maroonE5-\dfrac{\blueE{9}}{2}$equals, start color #9e034e, 5, end color #9e034e, minus, start fraction, start color #0c7f99, 9, end color #0c7f99, divided by, 2, end fraction	Rewrite $\maroonE5$start color #9e034e, 5, end color #9e034e so we have a common denominator.
$=\maroonE{\dfrac{10}{2}}-\dfrac{\blueE{9}}{2}$equals, start color #9e034e, start fraction, 10, divided by, 2, end fraction, end color #9e034e, minus, start fraction, start color #0c7f99, 9, end color #0c7f99, divided by, 2, end fraction	Subtract.
$=\dfrac{1}{2}$equals, start fraction, 1, divided by, 2, end fraction

Hint #33 / 3

$5-\dfrac{3^2}{2}=\dfrac12$