To solve this problem, we need to identify and multiply the greatest 4-digit number and the greatest 3-digit number. Here is a detailed, step-by-step solution:
1. Identify the Greatest 4-Digit Number:
- The smallest 5-digit number is 10000.
- Therefore, the greatest 4-digit number is one less than 10000, which is 9999.
2. Identify the Greatest 3-Digit Number:
- The smallest 4-digit number is 1000.
- Therefore, the greatest 3-digit number is one less than 1000, which is 999.
3. Calculate the Product of the Greatest 4-Digit and 3-Digit Numbers:
- We now need to multiply these two numbers:
[tex]\[
9999 \times 999
\][/tex]
4. Perform the Multiplication:
- Multiplying 9999 by 999 gives us the product:
[tex]\[
9999 \times 999 = 9989001
\][/tex]
Thus, the product of the greatest 4-digit number and the greatest 3-digit number is 9,989,001.
