To solve for \( z \) in the equation:

\[
\frac{z}{8} = 1
\]

we can multiply both sides by 8 to isolate \( z \):

\[
z = 1 \times 8
\]

\[
z = 8
\]

### Answer:
\[
z = 8
\]

Would you like a deeper explanation or have any further questions?

### Related Questions:
1. What would happen if \( z/8 = 0 \) instead of 1?
2. How do you solve equations with fractions like \( \frac{z}{x} = 2 \)?
3. How would this equation change if it involved a negative number, like \( \frac{z}{-8} = 1 \)?
4. Can you show how to isolate a variable in more complex fraction equations, like \( \frac{2z + 3}{5} = 4 \)?
5. How can I check my answer to confirm that \( z = 8 \) is correct?

### Tip:
Always perform the inverse operation to isolate the variable on one side of the equation.

Learn how to solve the linear equation z/8 = 1 with a step-by-step explanation. This algebraic problem introduces key concepts such as isolating variables and using the multiplicative property of equality, ideal for students in Grades 6-8.

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