Solve |1-5|*(|-12-13|-|-106+86|)

$$| 1 - 5 | \cdot ( | - 12 - 13 | - | - 106 + 86 | )$$

Evaluate

$$20$$

Solution Steps

Subtract 5 from 1 to get -4.

$$|-4|\left(|-12-13|-|-106+86|\right)$$

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

$$4\left(|-12-13|-|-106+86|\right)$$

Subtract 13 from -12 to get -25.

$$4\left(|-25|-|-106+86|\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -25 is 25.

$$4\left(25-|-106+86|\right)$$

Add -106 and 86 to get -20.

$$4\left(25-|-20|\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -20 is 20.

$$4\left(25-20\right)$$

Subtract 20 from 25 to get 5.

$$4\times 5$$

Multiply 4 and 5 to get 20.

$$20$$

Factor

$$2^{2}\times 5$$