Interpret negative numbers in context 2 - Reasoning is a worksheet by Master the Curriculum for students to work through, along with the supplementary resources that you will find as part of this lesson

<p>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.</p>

<p>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.</p>

Maths