What is 1/2 (-5)^2-4 ?

The solution to 1/2 (-5)^2-4 is 8 1/2

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1/2 (-5)^2-4

\frac{1}{2} (- 5)^{2} - 4

8 \frac{1}{2}

Solution steps

\frac{1}{2} (- 5)^{2} - 4

Follow the PEMDAS order of operations

Calculate exponents

(- 5)^{2} : 25

= \frac{1}{2} \cdot 25 - 4

Multiply and divide (left to right)

\frac{1}{2} \cdot 25 : \frac{25}{2}

= \frac{25}{2} - 4

Add and subtract (left to right)

\frac{25}{2} - 4 : \frac{17}{2}

= \frac{17}{2}

Convert improper fractions to mixed numbers:

\frac{17}{2} = 8 \frac{1}{2}

= 8 \frac{1}{2}

3 (1)^{2} + 2 (1)

\frac{2}{3} (3) + 2

- 1 \div 4 + 4

(15 - 13) (15 - 5) (10 - 7)

4 - 7^{2}