Question

to which subsets of the real numbers does each number belong?
A. 9 squared
B. 3/10
C. -0.45
D. 12 squared

Answer 1

To determine the subsets of the real numbers to which each number belongs, let's evaluate each option and their properties.

A. **9 squared**:
- Calculation: \( 9^2 = 81 \)
- 81 is a positive integer, so it belongs to the following subsets:
- Natural numbers (\(\mathbb{N}\))
- Whole numbers (\(\mathbb{W}\))
- Integers (\(\mathbb{Z}\))
- Rational numbers (\(\mathbb{Q}\))
- Real numbers (\(\mathbb{R}\))

B. **3/10**:
- This is a fraction which is a positive rational number.
- It belongs to the following subsets:
- Rational numbers (\(\mathbb{Q}\))
- Real numbers (\(\mathbb{R}\))

C. **-0.45**:
- This is a negative decimal number.
- It belongs to the following subsets:
- Rational numbers (\(\mathbb{Q}\)) (since it can be expressed as \(-\frac{45}{100}\))
- Real numbers (\(\mathbb{R}\))
- Note: It does not belong to natural numbers, whole numbers, or integers.

D. **12 squared**:
- Calculation: \( 12^2 = 144 \)
- 144 is a positive integer, so it belongs to the following subsets:
- Natural numbers (\(\mathbb{N}\))
- Whole numbers (\(\mathbb{W}\))
- Integers (\(\mathbb{Z}\))
- Rational numbers (\(\mathbb{Q}\))
- Real numbers (\(\mathbb{R}\))

### Summary of Subset Membership:
- A. \( 81 \): \(\mathbb{N}, \mathbb{W}, \mathbb{Z}, \mathbb{Q}, \mathbb{R}\)
- B. \( \frac{3}{10} \): \(\mathbb{Q}, \mathbb{R}\)
- C. \( -0.45 \): \(\mathbb{Q}, \mathbb{R}\)
- D. \( 144 \): \(\mathbb{N}, \mathbb{W}, \mathbb{Z}, \mathbb{Q}, \mathbb{R}\)

Answer 2

so whats the answer?

Answer 3

Here are the subsets of the real numbers to which each number belongs:

A. **9 squared (81)**:
- Natural numbers (\(\mathbb{N}\))
- Whole numbers (\(\mathbb{W}\))
- Integers (\(\mathbb{Z}\))
- Rational numbers (\(\mathbb{Q}\))
- Real numbers (\(\mathbb{R}\))

B. **3/10**:
- Rational numbers (\(\mathbb{Q}\))
- Real numbers (\(\mathbb{R}\))

C. **-0.45**:
- Rational numbers (\(\mathbb{Q}\))
- Real numbers (\(\mathbb{R}\))

D. **12 squared (144)**:
- Natural numbers (\(\mathbb{N}\))
- Whole numbers (\(\mathbb{W}\))
- Integers (\(\mathbb{Z}\))
- Rational numbers (\(\mathbb{Q}\))
- Real numbers (\(\mathbb{R}\))

### Summary Answer:

- **A. 81**: \(\mathbb{N}, \mathbb{W}, \mathbb{Z}, \mathbb{Q}, \mathbb{R}\)
- **B. \(\frac{3}{10}\)**: \(\mathbb{Q}, \mathbb{R}\)
- **C. -0.45**: \(\mathbb{Q}, \mathbb{R}\)
- **D. 144**: \(\mathbb{N}, \mathbb{W}, \mathbb{Z}, \mathbb{Q}, \mathbb{R}\)

Answer 4

is it a b c or d

Answer 5

I apologize for any confusion in my previous response. Here's the breakdown of each item by its numeric value and relevant subsets:

1. **A**. \( 9^2 = 81 \)
- Belongs to: Natural numbers (\(\mathbb{N}\)), Whole numbers (\(\mathbb{W}\)), Integers (\(\mathbb{Z}\)), Rational numbers (\(\mathbb{Q}\)), Real numbers (\(\mathbb{R}\))

2. **B**. \( \frac{3}{10} \)
- Belongs to: Rational numbers (\(\mathbb{Q}\)), Real numbers (\(\mathbb{R}\))

3. **C**. \( -0.45 \)
- Belongs to: Rational numbers (\(\mathbb{Q}\)), Real numbers (\(\mathbb{R}\))

4. **D**. \( 12^2 = 144 \)
- Belongs to: Natural numbers (\(\mathbb{N}\)), Whole numbers (\(\mathbb{W}\)), Integers (\(\mathbb{Z}\)), Rational numbers (\(\mathbb{Q}\)), Real numbers (\(\mathbb{R}\))

If you are asking for a classification based on being a rational or real number or similar, then:

- **A** and **D** are both natural (and thus whole, integer, rational, real) numbers.
- **B** and **C** are rational numbers but not natural or whole numbers.

If your question is which numbers belong to each specific category (e.g., rational, real), please clarify, and I can provide a definitive answer (like "A, B, C, or D" based on specific criteria). If you're looking for just a singular response or choice, please specify the criteria you're using!