Real Numbers Card Sort worksheet with a Venn diagram and number cards for classification.

The task involves sorting numbers into the appropriate categories based on their classification as real numbers, rational numbers, integers, or natural numbers. Let's break this down step by step.

Key Definitions:

1. Real Numbers: Any number that can be represented on the number line, including rational and irrational numbers.
2. Rational Numbers: Numbers that can be expressed as a fraction \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \). This includes integers, fractions, and terminating or repeating decimals.
3. Integers: Whole numbers and their negatives (e.g., ..., -3, -2, -1, 0, 1, 2, 3, ...).
4. Natural Numbers: Positive whole numbers starting from 1 (e.g., 1, 2, 3, ...).

Steps to Solve:

1. Identify Each Number: Look at the list of numbers provided in the image.
2. Classify Each Number:
- Determine if the number is a real number (all numbers will be real).
- Check if it is a rational number (can it be written as a fraction?).
- Check if it is an integer (is it a whole number or its negative?).
- Check if it is a natural number (is it a positive whole number?).
3. Place Each Number in the Correct Category:
- Place the number in the most specific category possible. For example, if a number is both a rational number and an integer, place it in the "Integers" section.
- If a number is only a real number (e.g., an irrational number), place it in the outermost circle labeled "Real Numbers."

Example Classification:

Let’s assume the numbers provided in the image are:
- \( 5 \)
- \( -3 \)
- \( 0 \)
- \( \frac{3}{4} \)
- \( -0.6 \)
- \( \sqrt{2} \)
- \( 8.5 \)
- \( \pi \)
- \( 2 \)

#### Step-by-Step Classification:
1. \( 5 \):
- Real number: Yes
- Rational number: Yes (it can be written as \( \frac{5}{1} \))
- Integer: Yes
- Natural number: Yes
- Placement: In the "Natural Numbers" section.

2. \( -3 \):
- Real number: Yes
- Rational number: Yes (it can be written as \( \frac{-3}{1} \))
- Integer: Yes
- Natural number: No (negative numbers are not natural numbers)
- Placement: In the "Integers" section.

3. \( 0 \):
- Real number: Yes
- Rational number: Yes (it can be written as \( \frac{0}{1} \))
- Integer: Yes
- Natural number: No (0 is not a natural number)
- Placement: In the "Integers" section.

4. \( \frac{3}{4} \):
- Real number: Yes
- Rational number: Yes
- Integer: No (not a whole number)
- Natural number: No
- Placement: In the "Rational Numbers" section.

5. \( -0.6 \):
- Real number: Yes
- Rational number: Yes (it can be written as \( -\frac{3}{5} \))
- Integer: No
- Natural number: No
- Placement: In the "Rational Numbers" section.

6. \( \sqrt{2} \):
- Real number: Yes
- Rational number: No (it is an irrational number)
- Integer: No
- Natural number: No
- Placement: In the "Real Numbers" section (outermost circle).

7. \( 8.5 \):
- Real number: Yes
- Rational number: Yes (it can be written as \( \frac{17}{2} \))
- Integer: No
- Natural number: No
- Placement: In the "Rational Numbers" section.

8. \( \pi \):
- Real number: Yes
- Rational number: No (it is an irrational number)
- Integer: No
- Natural number: No
- Placement: In the "Real Numbers" section (outermost circle).

9. \( 2 \):
- Real number: Yes
- Rational number: Yes (it can be written as \( \frac{2}{1} \))
- Integer: Yes
- Natural number: Yes
- Placement: In the "Natural Numbers" section.

Final Answer:

After classifying all the numbers, place them in the appropriate sections of the Venn diagram. The final answer is the completed Venn diagram with all numbers correctly sorted.

\[
\boxed{\text{Completed Venn Diagram}}
\]

If you provide the exact numbers from the image, I can give a more precise classification!