Interpret negative numbers in context 2 - Reasoning

In this mathematical reasoning task, students are presented with a number line scenario where they must deduce the value of point B given certain conditions about distances between points A, B, and C. The points A and C are positioned at -11 and -2 respectively on the number line. Students are informed that the total distance from A to C is 9 units and that the distance from A to B is twice the distance from B to C. To solve this, students must use their understanding of negative numbers and the number line to work out the value of B.

Through logical reasoning, it is determined that the value of B is -5. This is calculated by first acknowledging that the distance from A to C is 9 units. If the distance from A to B is double the distance from B to C, then it can be inferred that the distances from A to B and B to C are 6 units and 3 units respectively. From point A at -11, moving 6 units towards C would position B at -5. This can be checked by ensuring that moving 3 units further from B towards C lands at -2, confirming the correct value of B. This exercise reinforces students' comprehension of negative numbers and their ability to interpret them within a given context.