Question

use the following magic multiplication square to answer the following parts (a)-(c).

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$$\begin{array}{|c|c|c|} \\hline 8 & 256 & 2 \\\\ \\hline 4 & 16 & 64 \\\\ \\hline 128 & 1 & 32 \\\\ \\hline \\end{array}$$

(a) verify that the three numbers in every row, column and diagonal in the following square have the same product.

the product for each row is 4096.
the product for each column is 4096.
the product along both diagonals is 4096.

(b) write each number in the magic multiplication square as a power of 2, and then explain how the multiplication square can be obtained from a related magic square.
select the correct choice below and, if necessary, fill in any answer box that completes your choice.

a. after rewriting the numbers using the same base, 2, the sum of the bases for each row, column, and diagonal is .
b. after rewriting the numbers using the same base, 2, the sum of the exponents for each row, column, and diagonal is .
c. after rewriting the numbers using the same base, 2. the numbers can be rearranged to form the same sum for each row, column, and diagonal. that sum is .

Explanation:

Verify the products of rows, columns, and diagonals

Using the Magic Multiplication Square knowledge point

$$
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Convert numbers to powers of 2

Using the Exponential Magic Square knowledge point

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Relate multiplication to exponent addition

Using the Exponential Magic Square knowledge point

$$
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Answer:

Question 1

The product for each row is 4096.
The product for each column is 4096.
The product along both diagonals is 4096.

Question 2

• A. After rewriting the numbers using the same base, 2, the sum of the bases for each row, column, and diagonal is
• B. After rewriting the numbers using the same base, 2, the sum of the exponents for each row, column, and diagonal is 12 (Correct answer)
• C. After rewriting the numbers using the same base, 2. The numbers can be rearranged to form the same sum for each row, column, and diagonal. That sum is