Solve |-3,4+(-7,7)|+|4,2+(-8,9)|-(-3,5)

$$| - 3,4 + ( - 7,7 ) | + | 4,2 + ( - 8,9 ) | - ( - 3,5 )$$

Evaluate

$$19,3$$

Solution Steps

Subtract 7,7 from -3,4 to get -11,1.

$$|-11,1|+|4,2-8,9|-\left(-3,5\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -11,1 is 11,1.

$$11,1+|4,2-8,9|-\left(-3,5\right)$$

Subtract 8,9 from 4,2 to get -4,7.

$$11,1+|-4,7|-\left(-3,5\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -4,7 is 4,7.

$$11,1+4,7-\left(-3,5\right)$$

Add 11,1 and 4,7 to get 15,8.

$$15,8-\left(-3,5\right)$$

The opposite of -3,5 is 3,5.

$$15,8+3,5$$

Add 15,8 and 3,5 to get 19,3.

$$19,3$$

Factor

$$\frac{193}{2 \cdot 5} = 19\frac{3}{10} = 19.3$$