1001 × 2002 = 1001 × (1001 + ____)
1001
Step 1: Notice that 2002 can be written as the sum of two equal numbers.
Write 2002 as:
\[ 2002 = 1001 + 1001 \]
Step 2: Now replace 2002 in the original expression.
Start with:
\[ 1001 \times 2002 \]
Substitute 2002 = 1001 + 1001:
\[ 1001 \times 2002 = 1001 \times (1001 + 1001) \]
Step 3: Compare with the given form \(1001 \times (1001 + \_\_\_)\).
The missing number must be:
\[ \boxed{1001} \]
We are not asked to multiply; just to fill the blank correctly.