Solve 5-lceil-4*(5-2)+7-(13*3)rceil

$$5- \lceil -4 \times (5-2)+7-(13 \times 3) \rceil$$

Evaluate

$$49$$

Solution Steps

Subtract 2 from 5 to get 3.

$$5-\lceil -4\times 3+7-13\times 3\rceil$$

Multiply -4 and 3 to get -12.

$$5-\lceil -12+7-13\times 3\rceil$$

Add -12 and 7 to get -5.

$$5-\lceil -5-13\times 3\rceil$$

Multiply 13 and 3 to get 39.

$$5-\lceil -5-39\rceil$$

Subtract 39 from -5 to get -44.

$$5-\lceil -44\rceil$$

The ceiling of a real number a is the smallest integer number greater than or equal to a. The ceiling of -44 is -44.

$$5-\left(-44\right)$$

The opposite of -44 is 44.

$$5+44$$

Add 5 and 44 to get 49.

$$49$$

Factor

$$7^{2}$$