Round Any Whole Number to a Required Degree of Accuracy 10 - Reasoning
Maths Resource Description
In a reasoning exercise focused on rounding numbers to a specified degree of accuracy, students are challenged to find missing digits in a series of numbers so that they round to six million two hundred thousand when rounded to the nearest hundred-thousand. The numbers presented are partially obscured, with some digits visible and others covered. The task requires students to understand the value of each place in a number and how it affects the rounding process. For example, the numbers 6,1 0,400 and 6,25 ,799 have certain digits hidden, and students must deduce what these could be to achieve the desired rounded figure.
The exercise provides a hint for students to understand the rounding rules: if the digit in the hundred-thousands place is followed by 0, 1, 2, 3, or 4, the number will round down, while if it is followed by 5, 6, 7, 8, or 9, the number will round up. However, in the case of the number 6, 53,899, no missing digit will make the number round down to six million two hundred thousand, as the hundred-thousands and ten-thousands digits (53) already determine that the number will round up to six million three hundred-thousand. This exercise is an excellent way for students to practice their understanding of place value and rounding rules to achieve a required level of accuracy.