Let's classify each number into the given sets:

1. $2.3030030003...$ (A non-repeating, non-terminating decimal)

   • Natural Numbers: EMPTY
   • Whole Numbers: EMPTY
   • Integers: EMPTY
   • Rational Numbers: EMPTY
   • Irrational Numbers: $2.3030030003...$

2. $0.7575$ (A terminating decimal)

   • Natural Numbers: EMPTY
   • Whole Numbers: EMPTY
   • Integers: EMPTY
   • Rational Numbers: $0.7575$
   • Irrational Numbers: EMPTY

3. $-5.04$ (A terminating decimal)

   • Natural Numbers: EMPTY
   • Whole Numbers: EMPTY
   • Integers: EMPTY
   • Rational Numbers: $-5.04$
   • Irrational Numbers: EMPTY

4. $\sqrt{10}$ (A non-repeating, non-terminating decimal)

   • Natural Numbers: EMPTY
   • Whole Numbers: EMPTY
   • Integers: EMPTY
   • Rational Numbers: EMPTY
   • Irrational Numbers: $\sqrt{10}$

5. $-3$ (A whole number)

   • Natural Numbers: EMPTY
   • Whole Numbers: EMPTY
   • Integers: $-3$
   • Rational Numbers: $-3$
   • Irrational Numbers: EMPTY

6. $0.2$ (A terminating decimal, equivalent to $\frac{1}{5}$)

   • Natural Numbers: EMPTY
   • Whole Numbers: EMPTY
   • Integers: EMPTY
   • Rational Numbers: $0.2$
   • Irrational Numbers: EMPTY

7. $7$ (A natural number)

   • Natural Numbers: $7$
   • Whole Numbers: $7$
   • Integers: $7$
   • Rational Numbers: $7$
   • Irrational Numbers: EMPTY

Final Answers:

• Natural Numbers: 7
• Whole Numbers: 7
• Integers: -3, 7
• Rational Numbers: 0.7575, -5.04, -3, 0.2, 7
• Irrational Numbers: 2.3030030003..., $\sqrt{10}$

Would you like further explanations on any of these classifications?

Related Questions:

1. What is the difference between rational and irrational numbers?
2. Why are square roots of non-perfect squares always irrational?
3. Can a negative number be a whole number?
4. How do you classify repeating decimals?
5. Are all integers also rational numbers?

Tip:

A decimal is rational if it either terminates or repeats a pattern. If it never terminates or repeats, it is irrational.