Solve `501 xx 502` ?

Options

A. 152502
B. 125502
C. 251502
D. 551202

Answer

To solve the multiplication of \( 501 \times 502 \), we can use the distributive property of multiplication. Here’s a step-by-step solution:

### Step 1: Break down the numbers
We can express \( 502 \) as \( 500 + 2 \). Therefore, we can rewrite the multiplication as:
\[ 501 \times 502 = 501 \times (500 + 2) \]

### Step 2: Apply the distributive property
Using the distributive property, we can expand the expression:
\[ 501 \times (500 + 2) = 501 \times 500 + 501 \times 2 \]

### Step 3: Calculate each part
Now we will calculate \( 501 \times 500 \) and \( 501 \times 2 \):

1. **Calculate \( 501 \times 500 \)**:
\[ 501 \times 500 = 250500 \]

2. **Calculate \( 501 \times 2 \)**:
\[ 501 \times 2 = 1002 \]

### Step 4: Add the results
Now, we will add the two results together:
\[ 250500 + 1002 = 251502 \]

### Final Answer
Thus, the solution to \( 501 \times 502 \) is:
\[ \boxed{251502} \]

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