Question

Try using a calculator to find a decimal value for $\frac{1}{17}$. What do you notice? Then use long division to write $\frac{1}{17}$as a terminating or repeating decimal. Explain the calculator result you obtained.

Short answer

The decimal value for $\frac{1}{17}$ is neither terminating nor repeating.

Step-by-step solution

Step 1. Given information

A fractional number $\frac{1}{17}$.

Step 2. Calculation 

Use calculator and find the Value of $\frac{1}{17}$

$\frac{1}{17}=0.05882352941$

Therefore, it is noticed that the number is non-terminating.

Use long division method and find the value of $\frac{1}{17}$

$\frac{1}{17}=0.05882$

Therefore, it is noticed that the number is neither terminating nor repeating.

Hence the number is neither terminating nor repeating.