standard_description: Know and apply the Binomial Theorem for the expansion of (x + y)^(n )in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle. (The Binomial Theorem can be proved by mathematical induction or by a combinatorial argument.)
problem_activity: Task
The Burj Khalifa (Dubai) is about 2$\frac{1}{2}$ times as tall as the Eiffel Tower (Paris) . The Eiffel Tower is about $\frac{5}{7}$ as tall as the Willis Tower (Chicago).
Which of these buildings is the tallest? Which is the shortest? Explain.
Draw pictures to illustrate.


aligns: no