Convert Between Miles and Kilometres 2 - Reasoning

In a reasoning exercise involving the conversion between miles and kilometres, students are presented with a scenario where two children, Malachi and Leanna, discuss their respective distances from school. Malachi travels 4.7 kilometres from home to school, while Leanna travels 3.3 miles. The question posed is: Who lives farther from school? To answer this, students must apply their knowledge of measurement conversion, understanding that 1 mile is approximately equal to 1.60934 kilometres. Hence, when converting Leanna's distance into kilometres using the given approximation (3.3 miles ≈ 5.31 km), it becomes clear that Leanna lives farther from school than Malachi, as her distance in kilometres exceeds Malachi's 4.7 kilometres.

The exercise requires students to explain their reasoning, reinforcing the importance of conversion skills in practical contexts. Malachi's statement indicates his distance in kilometres, while Leanna's in miles. By converting one distance to the same unit of measurement as the other, students can make a direct comparison. This activity not only tests the students' ability to convert between units but also their comprehension of real-world applications of measurement, such as determining the greater of two distances. The repetition of the scenario aims to solidify the students' understanding and ensure they can confidently explain their reasoning.