Solve lceil12+(-3)-(-4)+(-45)rceil-lceil(-12)+(-76)+(-34)-34rceil

$$\lceil 12+(-3)-(-4)+(-45) \rceil - \lceil (-12)+(-76)+(-34)-34 \rceil$$

Evaluate

$$124$$

Solution Steps

Subtract 3 from 12 to get 9.

$$\lceil 9-\left(-4\right)-45\rceil -\lceil -12-76-34-34\rceil$$

The opposite of -4 is 4.

$$\lceil 9+4-45\rceil -\lceil -12-76-34-34\rceil$$

Add 9 and 4 to get 13.

$$\lceil 13-45\rceil -\lceil -12-76-34-34\rceil$$

Subtract 45 from 13 to get -32.

$$\lceil -32\rceil -\lceil -12-76-34-34\rceil$$

The ceiling of a real number a is the smallest integer number greater than or equal to a. The ceiling of -32 is -32.

$$-32-\lceil -12-76-34-34\rceil$$

Subtract 76 from -12 to get -88.

$$-32-\lceil -88-34-34\rceil$$

Subtract 34 from -88 to get -122.

$$-32-\lceil -122-34\rceil$$

Subtract 34 from -122 to get -156.

$$-32-\lceil -156\rceil$$

The ceiling of a real number a is the smallest integer number greater than or equal to a. The ceiling of -156 is -156.

$$-32-\left(-156\right)$$

The opposite of -156 is 156.

$$-32+156$$

Add -32 and 156 to get 124.

$$124$$

Factor

$$2^{2}\times 31$$