The total number of students in Mapleton Elementary School and Oakville Academy
Primary School is approximately 1200 and 800 students respectively when rounded to the
nearest hundred. What is the maximum difference in the total number of students between
the two schools?

To determine the maximum difference in the total number of students between Mapleton Elementary School and Oakville Academy Primary School, we must first identify the range of students that each school could have, given that the totals are rounded to the nearest hundred.

### Mapleton Elementary School:
- Rounded number of students: 1200.
- The possible range of students (since rounding to the nearest hundred) is between:
  \[
  1150 \text{ and } 1249.
  \]

### Oakville Academy Primary School:
- Rounded number of students: 800.
- The possible range of students is between:
  \[
  750 \text{ and } 849.
  \]

### Maximum Difference:
- To find the maximum difference, we take the highest possible number of students at Mapleton Elementary and the lowest possible number at Oakville Academy:
  \[
  \text{Maximum difference} = 1249 - 750 = 499.
  \]

Thus, the maximum difference in the total number of students between the two schools is **499 students**.

Would you like more details, or do you have any further questions?

Here are some related questions to consider:
1. What would the minimum difference in student numbers between the two schools be?
2. How does rounding affect calculations in general?
3. Could there be any cases where rounding introduces ambiguity in the totals?
4. What are some other common rounding methods, besides rounding to the nearest hundred?
5. How would the maximum difference change if the rounding was to the nearest ten?

**Tip:** When rounding numbers, always remember to consider the boundaries at which rounding up or down happens, as it helps in determining the range of possible values.

The total number of students in Mapleton Elementary School and Oakville Academy Primary School is approximately 1200 and 800 students respectively when rounded to the nearest hundred. What is the maximum difference in the total number of students between the two schools?

Explore how to calculate the maximum difference between the student populations of Mapleton Elementary School and Oakville Academy Primary School when rounded to the nearest hundred. This problem covers key concepts like rounding, range of values, and subtraction. Suitable for students in Grades 4-6.

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