A whole number when rounded to the nearest ten is 4000.What is the greatest possible value of this number?Use the number line below to help you.

1. Break Down the Problem

To determine the greatest possible value of a whole number that rounds to 4000 when rounded to the nearest ten, we need to consider the rounding rules. A number rounds up if it is halfway or more to the next ten.

2. Relevant Concepts

When rounding to the nearest ten:

• If a number is less than 4005, it will round down to 4000.
• If a number is 4005 or higher, it will round up to 4010.

3. Analysis and Detail

• The greatest number that will still round down to 4000 is 4004.
• The rounding interval for the number line around 4000 is:
  • 3995 (rounds up to 4000)
  • 4004 (rounds down to 4000)

Thus, any number from 3995 up to but not including 4005 will round to 4000.

4. Verify and Summarize

• The highest integer that still rounds to 4000 is confirmed to be 4004, as 4005 would round to 4010.

Final Answer

The greatest possible value of the number is 4004.