Solve -23-lfloor-678+(345-456)-(-234)rfloor

$$-23- \lfloor -678+(345-456)-(-234) \rfloor$$

Evaluate

$$532$$

Solution Steps

Add -678 and 345 to get -333.

$$-23-\lfloor -333-456-\left(-234\right)\rfloor$$

Subtract 456 from -333 to get -789.

$$-23-\lfloor -789-\left(-234\right)\rfloor$$

The opposite of -234 is 234.

$$-23-\lfloor -789+234\rfloor$$

Add -789 and 234 to get -555.

$$-23-\lfloor -555\rfloor$$

The floor of a real number a is the largest integer number less than or equal to a. The floor of -555 is -555.

$$-23-\left(-555\right)$$

The opposite of -555 is 555.

$$-23+555$$

Add -23 and 555 to get 532.

$$532$$

Factor

$$2^{2}\times 7\times 19$$