Solve 1/2(36+(8*8)-11^2)

$$\frac{ 1 }{ 2 } (36+(8 \times 8)- { 11 }^{ 2 } )$$

Evaluate

$$-\frac{21}{2}=-10.5$$

Solution Steps

Multiply 8 and 8 to get 64.

$$\frac{1}{2}\left(36+64-11^{2}\right)$$

Add 36 and 64 to get 100.

$$\frac{1}{2}\left(100-11^{2}\right)$$

Calculate 11 to the power of 2 and get 121.

$$\frac{1}{2}\left(100-121\right)$$

Subtract 121 from 100 to get -21.

$$\frac{1}{2}\left(-21\right)$$

Multiply \frac{1}{2} and -21 to get \frac{-21}{2}.

$$\frac{-21}{2}$$

Fraction \frac{-21}{2} can be rewritten as -\frac{21}{2} by extracting the negative sign.

$$-\frac{21}{2}$$

Factor

$$-\frac{21}{2} = -10\frac{1}{2} = -10.5$$