Solve -31/2|-(-3)=

$$- 3 \frac { 1 } { 2 } | - ( - 3 ) =$$

Evaluate

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

Solution Steps

Multiply 3 and 2 to get 6.

$$\left(-\frac{6+1}{2}\right)|-\left(-3\right)|$$

Add 6 and 1 to get 7.

$$-\frac{7}{2}|-\left(-3\right)|$$

The opposite of -3 is 3.

$$-\frac{7}{2}|3|$$

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.

$$-\frac{7}{2}\times 3$$

Express -\frac{7}{2}\times 3 as a single fraction.

$$\frac{-7\times 3}{2}$$

Multiply -7 and 3 to get -21.

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

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

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

Factor

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