To solve $\dfrac{1}{100} + \dfrac{8}{10}$, follow these steps:

1. First, find a common denominator. The denominators are 100 and 10. The least common denominator (LCD) is 100.

2. Rewrite $\dfrac{8}{10}$ with a denominator of 100:

$\dfrac{8}{10} = \dfrac{80}{100}$

3. Now, the expression becomes:

$\dfrac{1}{100} + \dfrac{80}{100}$

4. Add the numerators:

$\dfrac{1 + 80}{100} = \dfrac{81}{100}$

Thus, the result is $\dfrac{81}{100}$.

Would you like more details on any of these steps or have further questions?

Here are some related questions:

1. How do you find the least common denominator?
2. What are the steps to simplify fractions?
3. Can this result be expressed as a decimal?
4. How do you add fractions with different denominators?
5. What is the importance of finding the least common denominator?

Tip: When adding or subtracting fractions, always make sure to convert them to the same denominator!