Certainly! Let's solve the problem step-by-step:
1. Identify the greatest 4-digit number:
- The greatest 4-digit number is 9999. This is the largest number that has four digits.
2. Understand what "two hundred less than" means:
- If we subtract 200 from the greatest 4-digit number, we will find the number that is two hundred less than 9999.
3. Perform the subtraction:
- Start with the greatest 4-digit number: 9999.
- Subtract 200 from this number: [tex]\( 9999 - 200 \)[/tex].
4. Calculate the result:
-
[tex]\( 9999 - 200 = 9799 \)[/tex]
5. Write the final result:
- The number that is two hundred less than the greatest 4-digit number is 9799.
Therefore, the number you are looking for, written in standard form, is 9799.