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The problem asks to compare the value of **8** and **8 × (3/2)** using the correct symbol (\< or \>). Let's break it down step by step:

1. The number on the left is **8**.
2. The expression on the right is **8 × (3/2)**.

To solve this:
- First, compute **8 × (3/2)**:
  \[
  8 × \frac{3}{2} = \frac{8 × 3}{2} = \frac{24}{2} = 12.
  \]

Now, you are comparing **8** and **12**.

Since **8** is less than **12**, the correct comparison is:
\[
8 < 12
\]
So, the correct symbol is **\<**.

### Explanation (drag and drop activity):
- **3/2 is greater than 1**, so multiplying by **3/2** makes the value **larger**.

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Would you like any further details or clarifications on this? Here are five related questions you can explore:

1. What happens when you multiply a number by a fraction greater than 1?
2. What happens when you multiply a number by a fraction less than 1?
3. How can you express 12 as a product of 8 and another fraction?
4. How does comparing two expressions change if you subtract instead of multiply?
5. What real-world scenarios use fraction multiplication?

**Tip:** When multiplying by fractions greater than 1, the result is always larger than the original number.

Choose the correct symbol to compare the expressions: 8 vs 8 × (3/2). Why is your answer true?

Learn how to compare the expressions 8 and 8 × (3/2) with a detailed step-by-step solution. This math problem involves fraction multiplication and comparing numbers. Ideal for students in Grades 5-6.

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