by the time carrie got back home she had driven 3,800 miles when rounded to the nearest hundred miles. Explain how you can find the greatest possible number of miles she could have driven.

To find the greatest possible number of miles Carrie could have driven when her mileage is rounded to the nearest hundred, you need to consider how rounding works.

1. **Understanding rounding to the nearest hundred**: 
   - When rounding to the nearest hundred, any number that is between two multiples of 100 will round up or down based on how close it is to each. For example:
     - If the last two digits of the number are 50 or more, the number rounds up.
     - If the last two digits are less than 50, the number rounds down.

2. **Finding the range of numbers that round to 3,800**:
   - The number 3,800 is a multiple of 100.
   - The smallest number that rounds to 3,800 is **3,750** (because any number from 3,750 to 3,799 will round up to 3,800).
   - The greatest number that rounds to 3,800 is **3,849** (because any number from 3,800 to 3,849 still rounds to 3,800).

3. **Greatest possible number of miles**: 
   - The greatest possible number of miles Carrie could have driven is **3,849 miles**. This is the largest number that would still round to 3,800 when rounded to the nearest hundred.

### In summary:
To find the greatest possible number of miles, look for the largest number that rounds to 3,800. In this case, it's 3,849.

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Do you want more details or have any questions?  
Here are 5 related questions to think about:
1. What is the smallest number of miles Carrie could have driven?
2. How would the answer change if the number was rounded to the nearest ten miles instead of hundred?
3. What if Carrie had driven 4,000 miles when rounded to the nearest hundred?
4. How does rounding differ when rounding to the nearest thousand?
5. What is the purpose of rounding in real-life scenarios?

**Tip:** Always consider the "midpoint" (50) when rounding to the nearest hundred!

By the time Carrie got back home she had driven 3,800 miles when rounded to the nearest hundred miles. Explain how you can find the greatest possible number of miles she could have driven.

Discover how to determine the greatest possible number of miles Carrie could have driven when her total is rounded to the nearest hundred miles. Learn the concept of rounding numbers and the range of values that round to 3,800, suitable for Grades 4-6.

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