Solve -2^2+|5-8|+24div(-3)*1/3

$$- 2 ^ { 2 } + | 5 - 8 | + 24 \div ( - 3 ) \times \frac { 1 } { 3 }$$

Evaluate

$$-\frac{11}{3}\approx -3.666666667$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$-4+|5-8|+\frac{24}{-3}\times \frac{1}{3}$$

Subtract 8 from 5 to get -3.

$$-4+|-3|+\frac{24}{-3}\times \frac{1}{3}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -3 is 3.

$$-4+3+\frac{24}{-3}\times \frac{1}{3}$$

Add -4 and 3 to get -1.

$$-1+\frac{24}{-3}\times \frac{1}{3}$$

Divide 24 by -3 to get -8.

$$-1-8\times \frac{1}{3}$$

Multiply -8 and \frac{1}{3} to get \frac{-8}{3}.

$$-1+\frac{-8}{3}$$

Fraction \frac{-8}{3} can be rewritten as -\frac{8}{3} by extracting the negative sign.

$$-1-\frac{8}{3}$$

Convert -1 to fraction -\frac{3}{3}.

$$-\frac{3}{3}-\frac{8}{3}$$

Since -\frac{3}{3} and \frac{8}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-8}{3}$$

Subtract 8 from -3 to get -11.

$$-\frac{11}{3}$$

Factor

$$-\frac{11}{3} = -3\frac{2}{3} = -3.6666666666666665$$