Evaluate 3-1/2(3)^2

$3 - \frac{1}{2} {(3)}^{2}$

Simplify each term.

Raise $3$ to the power of $2$ .

$3 - \frac{1}{2} \cdot 9$

Multiply $- \frac{1}{2} \cdot 9$ .

Multiply $9$ by $- 1$ .

$3 - 9 (\frac{1}{2})$

Combine $- 9$ and $\frac{1}{2}$ .

$3 + \frac{- 9}{2}$

Move the negative in front of the fraction.

$3 - \frac{9}{2}$

To write $3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$3 \cdot \frac{2}{2} - \frac{9}{2}$

Combine $3$ and $\frac{2}{2}$ .

$\frac{3 \cdot 2}{2} - \frac{9}{2}$

Combine the numerators over the common denominator.

$\frac{3 \cdot 2 - 9}{2}$

Simplify the numerator.

Multiply $3$ by $2$ .

$\frac{6 - 9}{2}$

Subtract $9$ from $6$ .

$\frac{- 3}{2}$

Move the negative in front of the fraction.

$- \frac{3}{2}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{2}$

Decimal Form:

$- 1.5$

Mixed Number Form:

$- 1 \frac{1}{2}$