Solve {-4^2-[15.2-(-24+9)*0.6]}*(-1/2)+7.9

$$\{ - 4 ^ { 2 } - [ 15.2 - ( - 24 + 9 ) \times 0.6 ] \} \times ( - \frac { 1 } { 2 } ) + 7.9$$

Evaluate

$$28$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\left(-16-\left(15.2-\left(-24+9\right)\times 0.6\right)\right)\left(-\frac{1}{2}\right)+7.9$$

Add -24 and 9 to get -15.

$$\left(-16-\left(15.2-\left(-15\times 0.6\right)\right)\right)\left(-\frac{1}{2}\right)+7.9$$

Multiply -15 and 0.6 to get -9.

$$\left(-16-\left(15.2-\left(-9\right)\right)\right)\left(-\frac{1}{2}\right)+7.9$$

The opposite of -9 is 9.

$$\left(-16-\left(15.2+9\right)\right)\left(-\frac{1}{2}\right)+7.9$$

Add 15.2 and 9 to get 24.2.

$$\left(-16-24.2\right)\left(-\frac{1}{2}\right)+7.9$$

Subtract 24.2 from -16 to get -40.2.

$$-40.2\left(-\frac{1}{2}\right)+7.9$$

Convert decimal number -40.2 to fraction -\frac{402}{10}. Reduce the fraction -\frac{402}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{201}{5}\left(-\frac{1}{2}\right)+7.9$$

Multiply -\frac{201}{5} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-201\left(-1\right)}{5\times 2}+7.9$$

Do the multiplications in the fraction \frac{-201\left(-1\right)}{5\times 2}.

$$\frac{201}{10}+7.9$$

Convert decimal number 7.9 to fraction \frac{79}{10}.

$$\frac{201}{10}+\frac{79}{10}$$

Since \frac{201}{10} and \frac{79}{10} have the same denominator, add them by adding their numerators.

$$\frac{201+79}{10}$$

Add 201 and 79 to get 280.

$$\frac{280}{10}$$

Divide 280 by 10 to get 28.

$$28$$

Factor

$$7\times 2^{2}$$