Solve 2^2*(-1/2)+|-4|+(-2)

$$2 ^ { 2 } \times ( - \frac { 1 } { 2 } ) + | - 4 | + ( - 2 )$$

Evaluate

$$0$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$4\left(-\frac{1}{2}\right)+|-4|-2$$

Express 4\left(-\frac{1}{2}\right) as a single fraction.

$$\frac{4\left(-1\right)}{2}+|-4|-2$$

Multiply 4 and -1 to get -4.

$$\frac{-4}{2}+|-4|-2$$

Divide -4 by 2 to get -2.

$$-2+|-4|-2$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -4 is 4.

$$-2+4-2$$

Add -2 and 4 to get 2.

$$2-2$$

Subtract 2 from 2 to get 0.

$$0$$

Factor

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