To evaluate the expression [tex]\(8 \left\lfloor \frac{1}{4} \right\rfloor\)[/tex], we'll follow these steps:
1. Compute the fraction [tex]\(\frac{1}{4}\)[/tex].
- [tex]\(\frac{1}{4} = 0.25\)[/tex]
2. Apply the floor function.
- The floor function [tex]\(\left\lfloor x \right\rfloor\)[/tex] returns the greatest integer less than or equal to [tex]\(x\)[/tex].
- So, [tex]\(\left\lfloor 0.25 \right\rfloor = 0\)[/tex]
3. Multiply the result by 8.
- [tex]\(8 \times 0 = 0\)[/tex]
Thus, the value of [tex]\(8 \left\lfloor \frac{1}{4} \right\rfloor\)[/tex] is [tex]\(0\)[/tex].
So the correct answer is:
0
