https://file.aiquickdraw.com/mathbot/file/1725969351049upwk5x3v.jpg

Let's go through each of the statements in the image one by one:

1. **All integers are rational numbers.**
   - **True.** Any integer can be expressed as a fraction with a denominator of 1. For example, the integer 3 can be written as \( \frac{3}{1} \), which is a rational number.

2. **All integers are natural numbers.**
   - **False.** Natural numbers are typically the positive integers (1, 2, 3, ...), while integers include negative numbers, zero, and positive numbers. Therefore, not all integers are natural numbers.

3. **All natural numbers are rational numbers.**
   - **True.** Every natural number can be expressed as a fraction. For instance, the natural number 5 can be written as \( \frac{5}{1} \), which makes it a rational number.

4. **All positive numbers are rational numbers.**
   - **False.** Not all positive numbers are rational. For example, \( \sqrt{2} \) is a positive number, but it is irrational because it cannot be expressed as a ratio of two integers.

Would you like further explanation on any of these? 

Here are some related questions for further practice:

1. Are all rational numbers also integers?
2. Can a number be both irrational and an integer?
3. Is zero a natural number?
4. Are all fractions rational numbers?
5. Can an irrational number be positive?

**Tip:** Rational numbers are any numbers that can be expressed as a fraction of two integers, where the denominator is not zero!

Is each statement true or false?
1. All integers are rational numbers.
2. All integers are natural numbers.
3. All natural numbers are rational numbers.
4. All positive numbers are rational numbers.

This problem involves determining whether different types of numbers (integers, natural numbers, and positive numbers) are rational. The solution covers core math concepts, including the definitions of rational numbers, integers, natural numbers, and positive numbers. Suitable for students in Grades 6-8.

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