In this image, the question asks to select all the numbers that are rational.

Rational numbers are numbers that can be expressed as a ratio of two integers (a fraction).

Let's evaluate the options:

• A: -1/7 → Rational. It’s a fraction of two integers.
• B: π/2 → Not rational. π (pi) is an irrational number, so π/2 is also irrational.
• C: √13 → Not rational. Square roots of non-perfect squares (like 13) are irrational.
• D: -2/3 → Rational. It’s a fraction of two integers.
• E: 2√10 → Not rational. √10 is irrational, so multiplying it by 2 keeps it irrational.

Correct Rational Numbers:

• A (-1/7)
• D (-2/3)

It appears the selections made in the image (A and D) are correct.

Do you want a deeper explanation of rational vs. irrational numbers?

Related Questions:

1. What are examples of irrational numbers?
2. How can you tell if a square root is rational?
3. Why is π considered irrational?
4. What is the difference between terminating and repeating decimals?
5. Can an irrational number ever be expressed as a fraction?

Tip: All integers and fractions (ratios of integers) are rational numbers.