https://file.aiquickdraw.com/mathbot/file/172677824481381lbbio8.jpg

Let's analyze and classify each number into its correct subsets based on the provided options:

### Subsets Legend:
- **A**: Real, Irrational
- **B**: Real, Rational
- **C**: Real, Rational, Integer
- **D**: Real, Rational, Integer, Whole
- **E**: Real, Rational, Integer, Whole, Natural

### Numbers to Classify:

1. **-4**: 
   - It's a real number.
   - It's a rational number (since it can be expressed as -4/1).
   - It's an integer.
   - It's not a whole number (since whole numbers are non-negative).
   - Correct classification: **C**.

2. **6.5**: 
   - It's a real number.
   - It's a rational number (as 6.5 can be expressed as 13/2).
   - It's not an integer or whole number.
   - Correct classification: **B**.

3. **√5**: 
   - It's a real number.
   - It's an irrational number (since √5 cannot be expressed as a fraction).
   - Correct classification: **A**.

4. **⅔**: 
   - It's a real number.
   - It's a rational number (⅔ is a fraction of two integers).
   - It's not an integer.
   - Correct classification: **B**.

5. **1.390864...** (non-repeating decimal):
   - It's a real number.
   - It's an irrational number (since it doesn't repeat and can't be expressed as a fraction).
   - Correct classification: **A**.

6. **−√9**: 
   - It's a real number.
   - √9 = 3, so −√9 = -3.
   - It's a rational number (as -3 can be expressed as -3/1).
   - It's an integer.
   - Correct classification: **C**.

Now let's summarize the answers:

1. **-4** → **C**
2. **6.5** → **B**
3. **√5** → **A**
4. **⅔** → **B**
5. **1.390864...** → **A**
6. **−√9** → **C**

Would you like further details or have any questions?

Here are 5 related questions you might find interesting:

1. What is the difference between rational and irrational numbers?
2. Can irrational numbers ever be represented as fractions?
3. What defines a whole number versus an integer?
4. How are real numbers classified in mathematical sets?
5. Can the square root of any number be rational?

**Tip**: Rational numbers are always expressible as fractions, while irrational numbers have non-terminating, non-repeating decimals.

Classify each number by naming all the subsets in which it is an element.

Learn how to classify numbers such as -4, 6.5, √5, and more into subsets like Real, Rational, Irrational, Integer, Whole, and Natural numbers. Detailed classification based on their properties.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation