Round Numbers up to 1 Million 8 - Reasoning

In a reasoning exercise involving number and place value, students are challenged to understand the concept of rounding numbers up to 1 million. The task requires them to use digit cards to create six-digit numbers that satisfy certain conditions related to rounding. Students must form numbers that are less than 474,495 when rounded to the nearest 1,000, greater than 970,750 when rounded to the nearest 100, and less than 553,709 when rounded to the nearest 100,000. This exercise is designed to deepen their understanding of how rounding affects the digits in a number depending on the place value to which it is being rounded.

For example, one possible set of answers that meets the criteria is as follows: A number like 473,435 is less than 474,495 when rounded to the nearest 1,000, as it would round down to 473,000. Similarly, a number such as 970,900 is greater than 970,750 when rounded to the nearest 100, as it would round up to 971,000. Lastly, a number like 533,409 is less than 553,709 when rounded to the nearest 100,000, as it would round down to 500,000. These exercises help students to apply their knowledge of rounding and to recognise the significance of each digit's place value within larger numbers.