Round Any Whole Number to a Required Degree of Accuracy 2 - Reasoning

Mr. Smith presents his pupils with a challenging number puzzle, where they must deduce a specific whole number based on several clues. The mystery number, according to Mr. Smith, contains 4 million, and when rounded to the nearest hundred thousand, the millions digit changes. This suggests that the number is not exactly on a hundred thousand mark. Additionally, the number includes 54 thousands, which provides a clearer picture of the number's magnitude. The final clue indicates that the hundreds column, when rounded to the nearest hundred and ten, is 500. Students are tasked with using these clues to determine the possible number or numbers that Mr. Smith could be thinking of.

After analysing the clues, it becomes apparent that the number lies within a specific range. The number must be more than 4,950,000 due to the millions and thousands digits specified. Moreover, the rounding clue for the hundreds column narrows the possibilities further. Considering all the given information, the number could be anything between 4,954,495 and 4,954,504. This exercise not only tests the students' understanding of place value and rounding but also encourages them to think critically and reason through the possibilities to arrive at a range of answers, acknowledging that there is indeed more than one option that fits the clues provided by Mr. Smith.