Divide numbers up to 4 digits - Reasoning

When faced with the task of determining the number of classrooms needed to accommodate 1,569 pupils at Malachi's school, with each classroom having a capacity of 35 pupils, we embark on a division problem. To solve this, we divide the total number of pupils, 1,569, by the number of pupils each classroom can hold, which is 35. The division gives us a result of 44 with a remainder of 29. This means that 44 classrooms will be completely filled, but we are left with an additional 29 pupils who also need a classroom. Since a classroom cannot be shared by a fraction of pupils and each pupil needs a space, we must provide one more classroom to accommodate the remaining pupils. Therefore, a total of 45 classrooms are required to ensure that all 1,569 pupils have a place in a classroom at Malachi's school.

To explain further, the calculation of 1,569 divided by 35 results in 44 full classrooms, but we cannot disregard the 29 pupils who don't fit into these classrooms. As it's not feasible to have a part of a classroom, the only solution is to have an additional classroom, even though it won't be filled to capacity. This ensures that every pupil has a seat in a classroom. Hence, the answer is that 45 classrooms are needed in total. This problem illustrates the importance of considering the practical implications of division in real-world scenarios, such as school logistics, where the exact division is not always possible, and rounding up is necessary to meet the requirements.