Solve lfloor-6rfloor+2lfloor-4rfloor-3lfloor6rfloor

$$\lfloor -6 \rfloor +2 \lfloor -4 \rfloor -3 \lfloor 6 \rfloor$$

Evaluate

$$-32$$

Solution Steps

The floor of a real number a is the largest integer number less than or equal to a. The floor of -6 is -6.

$$-6+2\lfloor -4\rfloor -3\lfloor 6\rfloor$$

The floor of a real number a is the largest integer number less than or equal to a. The floor of -4 is -4.

$$-6+2\left(-4\right)-3\lfloor 6\rfloor$$

Multiply 2 and -4 to get -8.

$$-6-8-3\lfloor 6\rfloor$$

Subtract 8 from -6 to get -14.

$$-14-3\lfloor 6\rfloor$$

The floor of a real number a is the largest integer number less than or equal to a. The floor of 6 is 6.

$$-14-3\times 6$$

Multiply 3 and 6 to get 18.

$$-14-18$$

Subtract 18 from -14 to get -32.

$$-32$$

Factor

$$-32$$