Let's break down the multiplication of \( 39,340 \times 309 \) step by step.

### Step 1: Write down the numbers
We have:
\[
39,340 \times 309
\]

### Step 2: Break down 309
We can express 309 as:
\[
309 = 300 + 9
\]

### Step 3: Distribute the multiplication
Now, distribute the multiplication:
\[
39,340 \times 309 = 39,340 \times (300 + 9)
\]
\[
= 39,340 \times 300 + 39,340 \times 9
\]

### Step 4: Calculate each term
1. **First term: \( 39,340 \times 300 \)**
   \[
   39,340 \times 300 = 39,340 \times 3 \times 100 = 118,020 \times 100 = 11,802,000
   \]

2. **Second term: \( 39,340 \times 9 \)**
   \[
   39,340 \times 9 = 354,060
   \]

### Step 5: Add the results
Now, add the two products together:
\[
39,340 \times 309 = 11,802,000 + 354,060 = 12,156,060
\]

So, the final result is \( 12,156,060 \).

Would you like more details or have any questions?

Here are 8 related questions:
1. How do you perform long division with large numbers?
2. What is the product of 25,468 and 567?
3. How does the distributive property work in multiplication?
4. What are some techniques to multiply numbers faster?
5. How can you estimate large products before calculating them?
6. What is the multiplication of 46,200 by 284?
7. How do you multiply three numbers together?
8. What are the rules for multiplying decimals?

**Tip:** Breaking down complex multiplications into smaller, manageable parts can simplify the process and reduce errors.

Learn how to multiply 39,340 by 309 step-by-step with detailed calculations. This problem covers multiplication techniques, including breaking down numbers and applying the distributive property. Suitable for high school students.

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