Multiply 369 by 125.

Answer

To solve the multiplication of 369 by 125, we can use a step-by-step approach that simplifies the calculation. Here’s how to do it:

### Step 1: Break Down the Multiplication
We can express 125 as the sum of 100 and 25:
\[ 125 = 100 + 25 \]
So, we can rewrite the multiplication as:
\[ 369 \times 125 = 369 \times (100 + 25) \]

### Step 2: Distribute the Multiplication
Using the distributive property, we can separate the multiplication:
\[ 369 \times 125 = 369 \times 100 + 369 \times 25 \]

### Step 3: Calculate \(369 \times 100\)
Now, we calculate the first part:
\[ 369 \times 100 = 36900 \]

### Step 4: Calculate \(369 \times 25\)
Next, we need to calculate \(369 \times 25\). We can break down 25 further as:
\[ 25 = 20 + 5 \]
So, we can rewrite it as:
\[ 369 \times 25 = 369 \times (20 + 5) = 369 \times 20 + 369 \times 5 \]

### Step 5: Calculate \(369 \times 20\)
Now, calculate \(369 \times 20\):
\[ 369 \times 20 = 7380 \]

### Step 6: Calculate \(369 \times 5\)
Now, calculate \(369 \times 5\):
\[ 369 \times 5 = 1845 \]

### Step 7: Combine the Results
Now we can combine the results from \(369 \times 100\) and \(369 \times 25\):
\[ 369 \times 25 = 7380 + 1845 = 9225 \]

### Step 8: Final Calculation
Now we can add both parts together:
\[ 36900 + 9225 = 46125 \]

### Conclusion
Thus, the final result of multiplying 369 by 125 is:
\[ \boxed{46125} \]