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The worksheet you're working on classifies numbers into different categories: Whole, Integer, Rational, and Irrational. Let's go through the numbers provided:

1. **0**:
   - Whole: Yes (Whole numbers include 0 and all positive integers.)
   - Integer: Yes (Integers include negative numbers, zero, and positive numbers.)
   - Rational: Yes (0 can be expressed as 0/1, so it's rational.)
   - Irrational: No

2. **-7**:
   - Whole: No (Whole numbers are non-negative.)
   - Integer: Yes (Negative whole numbers are integers.)
   - Rational: Yes (-7 can be expressed as -7/1.)
   - Irrational: No

3. **√13**:
   - Whole: No (It’s not a non-negative integer.)
   - Integer: No (It’s not a whole number.)
   - Rational: No (√13 is not expressible as a fraction of integers.)
   - Irrational: Yes (Square roots of non-perfect squares are irrational.)

4. **1.125**:
   - Whole: No (It's not a non-negative integer.)
   - Integer: No (It’s a decimal, not an integer.)
   - Rational: Yes (1.125 can be expressed as 9/8.)
   - Irrational: No

5. **0.3333... (repeating)**:
   - Whole: No (Not a non-negative integer.)
   - Integer: No (It's a repeating decimal.)
   - Rational: Yes (It’s a rational number since it equals 1/3.)
   - Irrational: No

6. **¾**:
   - Whole: No (It's a fraction.)
   - Integer: No (It’s not a whole number.)
   - Rational: Yes (It’s a rational number, as it’s a fraction.)
   - Irrational: No

Would you like more details on any of these classifications or corrections? Here are five questions to extend your understanding:

1. Why is every integer also a rational number?
2. Can a rational number ever be irrational?
3. What is the difference between rational and irrational numbers in terms of their decimal expansions?
4. Are all square roots irrational?
5. Why is 0 considered a whole number?

**Tip:** Rational numbers can always be written as fractions, even if their decimal expansion is repeating or terminating.

Classify numbers into the different number systems: Whole, Integer, Rational, and Irrational.

Learn how to classify numbers such as 0, -7, √13, 1.125, and more into whole, integer, rational, and irrational number systems. This problem covers important concepts for students in Grades 6-8.

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