Mutiply 1203 by 1207.

Answer

To multiply 1203 by 1207, we can use the distributive property of multiplication. Here’s a step-by-step breakdown of the solution:

### Step 1: Break down 1207
We can express 1207 as the sum of 1200 and 7:
\[ 1207 = 1200 + 7 \]

### Step 2: Apply the distributive property
Now, we can use the distributive property to multiply 1203 by each part of the sum:
\[ 1203 \times 1207 = 1203 \times (1200 + 7) \]
This can be rewritten as:
\[ 1203 \times 1200 + 1203 \times 7 \]

### Step 3: Calculate \( 1203 \times 1200 \)
To calculate \( 1203 \times 1200 \), we can break it down further:
\[ 1200 = 1000 + 200 \]
So,
\[ 1203 \times 1200 = 1203 \times (1000 + 200) \]
This can be calculated as:
\[ 1203 \times 1000 + 1203 \times 200 \]
Calculating each part:
\[ 1203 \times 1000 = 1203000 \]
\[ 1203 \times 200 = 240600 \]
Now, add these two results:
\[ 1203000 + 240600 = 1443600 \]

### Step 4: Calculate \( 1203 \times 7 \)
Now, we will calculate \( 1203 \times 7 \):
\[ 1203 \times 7 = 8421 \]

### Step 5: Add the results
Now, we add the results from Step 3 and Step 4:
\[ 1443600 + 8421 = 1442021 \]

### Final Result
Thus, the product of 1203 and 1207 is:
\[ 1203 \times 1207 = 1442021 \]

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