Powers of 11 2. a. Use the Binomial Theorem on powers of (10+1) to demonstrate that the numbers b. At what point does the pattern not continue? Why does the pattern no longer c. Compute 11 x 11 using...
Powers of 11 2. a. Use the Binomial Theorem on powers of (10+1) to demonstrate that the numbers b. At what point does the pattern not continue? Why does the pattern no longer c. Compute 11 x 11 using the standard algorithm for multiplication. Do likewise d. Explain how the standard algorithm for multiplication of powers of 11 relates to in the first few rows of Pascal's Triangle resemble the digits of the powers of 11 work? with 121 x 11; and with 1331 x 1; and with 14641 x 11 Pascal's Triangle.
Powers of 11 2. a. Use the Binomial Theorem on powers of (10+1) to demonstrate that the numbers b. At what point does the pattern not continue? Why does the pattern no longer c. Compute 11 x 11 using the standard algorithm for multiplication. Do likewise d. Explain how the standard algorithm for multiplication of powers of 11 relates to in the first few rows of Pascal's Triangle resemble the digits of the powers of 11 work? with 121 x 11; and with 1331 x 1; and with 14641 x 11 Pascal's Triangle.