Evaluate:
`476 times (-253)`

Answer

To evaluate the expression \( 476 \times (-253) \), we will follow these steps:

### Step 1: Identify the signs
Since we are multiplying a positive number (476) by a negative number (-253), the result will be negative.

**Hint:** Remember that multiplying a positive number by a negative number always results in a negative number.

### Step 2: Multiply the absolute values
Now we will multiply the absolute values of the numbers:
\[ 476 \times 253 \]

### Step 3: Perform the multiplication
We can break down the multiplication as follows:

1. Multiply \( 476 \) by \( 3 \) (the unit digit of \( 253 \)):
\[ 476 \times 3 = 1428 \]

2. Multiply \( 476 \) by \( 5 \) (the tens digit of \( 253 \)):
\[ 476 \times 5 = 2380 \quad \text{(shift one position to the left, so it becomes 23800)} \]

3. Multiply \( 476 \) by \( 2 \) (the hundreds digit of \( 253 \)):
\[ 476 \times 2 = 952 \quad \text{(shift two positions to the left, so it becomes 95200)} \]

### Step 4: Add the results
Now we will add these results together:
\[ \begin{array}{r} 1428 \\ + 23800 \\ + 95200 \\ \hline 120428 \\ \end{array} \]

### Step 5: Apply the sign
Since we established that the result will be negative, we write:
\[ 476 \times (-253) = -120428 \]

### Final Answer:
\[ \text{The result of } 476 \times (-253) \text{ is } -120428. \]

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