Subtract whole numbers with more than 4 digits, including using formal written methods 3 - Reasoning

In this mathematical reasoning task, students are challenged to find the values of three variables, A, B, and C, through a series of equations that involve addition and subtraction of whole numbers with more than four digits. The first equation provided is 33,546 + A = C, which sets up a relationship between A and C. The second equation, 156,220 + B = 292,811, allows students to find the value of B by adding large numbers using formal written methods. The third and final equation, B – C = 23,564, then links the values of B and C, enabling students to solve for C and subsequently A.

To solve for A, B, and C, students must apply their understanding of formal written addition and subtraction methods. By rearranging and solving the equations, they can deduce that A equals 79,481, B equals 136,591, and C equals 113,027. These calculations require careful attention to detail and the ability to manipulate large numbers accurately. This exercise not only tests students' arithmetic skills but also their logical reasoning and problem-solving abilities, as they must work systematically to find the correct values for each variable.