Solve |21/2|+|-21/2|

$$| 2 \frac { 1 } { 2 } | + | - 2 \frac { 1 } { 2 } |$$

Evaluate

$$5$$

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

$$|\frac{5}{2}|+|-\frac{2\times 2+1}{2}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{5}{2} is \frac{5}{2}.

$$\frac{5}{2}+|-\frac{2\times 2+1}{2}|$$

Multiply 2 and 2 to get 4.

$$\frac{5}{2}+|-\frac{4+1}{2}|$$

Add 4 and 1 to get 5.

$$\frac{5}{2}+|-\frac{5}{2}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{5}{2} is \frac{5}{2}.

$$\frac{5}{2}+\frac{5}{2}$$

Since \frac{5}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$\frac{5+5}{2}$$

Add 5 and 5 to get 10.

$$\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$5$$

Factor

$$5$$