To determine if $\frac{7}{100}$ is a terminating or repeating decimal, we can perform the long division of 7 divided by 100.

Long Division:

1. 7.000 ÷ 100:
   • 100 goes into 70 zero times, so we write 0 as the first digit of the quotient.
   • Bring down the 0 to make 70, which still isn't enough for 100.
   • Bring down another 0 to make 700.
   • 100 goes into 700 exactly 7 times.

So, $\frac{7}{100} = 0.07$.

Conclusion:

The decimal representation of $\frac{7}{100}$ is 0.07, which terminates after two decimal places. Therefore, it is a terminating decimal.

---

Would you like more details or have any questions? Here are 5 related questions:

1. How can you determine if a fraction will result in a terminating or repeating decimal without division?
2. What are some examples of repeating decimals?
3. Can you convert a repeating decimal back into a fraction?
4. What are the conditions for a fraction to have a terminating decimal?
5. How would you perform long division for more complex fractions?

Tip: A fraction will have a terminating decimal if its denominator, in its simplest form, only has 2 and/or 5 as prime factors.