Answer:
99,999.
Step-by-step explanation:
We are asked to write a 5-digit number that when rounded to the nearest thousand and hundred will have a result that is the same.
We know that when the next digit to rounded digit is 0, 1, 2, 3, 4; then we keep the same digit.
When the next digit to rounded digit is 5 or more than 5; then we round up our answer by one digit.
In our five-digit number each digit would be same.
Let use take 6 as:
[tex]66,666[/tex]
To nearest hundred: [tex]66,666\approx 66,700[/tex]
To nearest thousand: [tex]66,666\approx 67,000[/tex]
Let us take 9:
[tex]99,999[/tex]
To nearest hundred: [tex]99,999\approx 100,000[/tex]
To nearest thousand: [tex]99,999\approx 100,000[/tex]
Therefore, our required digit is 99,999.
