Answer :

Final answer:

To find the greatest number that rounds to 7000 when rounded to the nearest thousand, consider two cases: when the digit in the thousands place is less than 5 and when it is greater than or equal to 5. In the first case, the greatest number is 7499, while in the second case, it is 8499.

Explanation:

To find the greatest number that rounds to 7000 when rounded to the nearest thousand, we need to determine the range of numbers that round to 7000. Let's consider two cases, one where the digit in the thousands place is less than 5, and one where it is greater than or equal to 5.

Case 1: If the digit in the thousands place is less than 5, any number in the range 6500 to 7499 would round to 7000 when rounded to the nearest thousand. So, the greatest number would be 7499.

Case 2: If the digit in the thousands place is greater than or equal to 5, any number in the range 7500 to 8499 would round to 7000. In this case, the greatest number would be 8499.

Therefore, the greatest number that rounds to 7000 when rounded to the nearest thousand is 8499.

Learn more about Rounding numbers here:

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