Solve lceil-4(-9)+(-12)-2rceillfloor7(-3)-(-1)rfloor

$$\lceil -4(-9)+(-12)-2 \rceil \lfloor 7(-3)-(-1) \rfloor$$

Evaluate

$$-440$$

Solution Steps

Multiply -4 and -9 to get 36.

$$\lceil 36-12-2\rceil \lfloor 7\left(-3\right)-\left(-1\right)\rfloor$$

Subtract 12 from 36 to get 24.

$$\lceil 24-2\rceil \lfloor 7\left(-3\right)-\left(-1\right)\rfloor$$

Subtract 2 from 24 to get 22.

$$\lceil 22\rceil \lfloor 7\left(-3\right)-\left(-1\right)\rfloor$$

The ceiling of a real number a is the smallest integer number greater than or equal to a. The ceiling of 22 is 22.

$$22\lfloor 7\left(-3\right)-\left(-1\right)\rfloor$$

Multiply 7 and -3 to get -21.

$$22\lfloor -21-\left(-1\right)\rfloor$$

The opposite of -1 is 1.

$$22\lfloor -21+1\rfloor$$

Add -21 and 1 to get -20.

$$22\lfloor -20\rfloor$$

The floor of a real number a is the largest integer number less than or equal to a. The floor of -20 is -20.

$$22\left(-20\right)$$

Multiply 22 and -20 to get -440.

$$-440$$

Factor

$$-440$$