The question from the image asks to provide examples of real numbers between two given numbers:

1. Between $\frac{1}{100}$ and $\frac{1}{99}$
2. Between $\pi$ and $\frac{22}{7}$

Let's break these down:

(a) Numbers between $\frac{1}{100}$ and $\frac{1}{99}$:

• $\frac{1}{100} \approx 0.01$
• $\frac{1}{99} \approx 0.010101$

A real number between these two could be, for example:

• $0.01005$

(b) Numbers between $\pi$ and $\frac{22}{7}$:

• $\pi \approx 3.14159$
• $\frac{22}{7} \approx 3.142857$

A real number between these two could be, for example:

• $3.1417$

Would you like more detailed explanations on these? Here are some related questions for further practice:

1. What is the decimal approximation of $\frac{1}{98}$?
2. Find a real number between $\pi$ and 3.15.
3. Can an irrational number be between two rational numbers?
4. Give a number between 1.5 and 1.6.
5. What are the properties of real numbers between two given points?

Tip: When searching for numbers between two real numbers, you can either find a decimal value between them or an exact fraction!