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2. Nebuchadnezzar, a student in your class, has volunteered to answer the question of "What is 38 x 54?". He explained his solution the following way: Choose either number, say 38. Let's write "1" before it, and then keep doubling both these numbers: 1 2 4 8 16 32 64 38 76 152 304 608 1216 2432 Now we need to find the numbers in the first column that add to 54. These are 2, 4, 16, and 32. Now we add their counterparts in the second column (76, 152, 608, 1216) to arrive at the answer of 2052. NOTE: This method is commonly called the Egyptian Algorithm a) How does he do it? Clearly explain the mathematics behind his thinking. b) What would you do if someone did this in your classroom?

2. Nebuchadnezzar, a student in your class, has volunteered to answer the question of "What is 38 x 54?". He explained his solution the following way: Choose either number, say 38. Let's write "1" before it, and then keep doubling both these numbers: 1 2 4 8 16 32 64 38 76 152 304 608 1216 2432 Now we need to find the numbers in the first column that add to 54. These are 2, 4, 16, and 32. Now we add their counterparts in the second column (76, 152, 608, 1216) to arrive at the answer of 2052. NOTE: This method is commonly called the Egyptian Algorithm a) How does he do it? Clearly explain the mathematics behind his thinking. b) What would you do if someone did this in your classroom?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Nebuchadnezzar, a student in your class, has volunteered to answer the question of "What is 38 x 54?". He explained his solution the following way: Choose either number, say 38. Let's write "1" before it, and then keep doubling both these numbers: 1 2 4 8 16 32 64 38 76 152 304 608 1216 2432 Now we need to find the numbers in the first column that add to 54. These are 2, 4, 16, and 32. Now we add their counterparts in the second column (76, 152, 608, 1216) to arrive at the answer of 2052. NOTE: This method is commonly called the Egyptian Algorithm a) How does he do it? Clearly explain the mathematics behind his thinking. b) What would you do if someone did this in your classroom?
Transcribed Image Text:2. Nebuchadnezzar, a student in your class, has volunteered to answer the question of "What is 38 x 54?". He explained his solution the following way: Choose either number, say 38. Let's write "1" before it, and then keep doubling both these numbers: 1 2 4 8 16 32 64 38 76 152 304 608 1216 2432 Now we need to find the numbers in the first column that add to 54. These are 2, 4, 16, and 32. Now we add their counterparts in the second column (76, 152, 608, 1216) to arrive at the answer of 2052. NOTE: This method is commonly called the Egyptian Algorithm a) How does he do it? Clearly explain the mathematics behind his thinking. b) What would you do if someone did this in your classroom?
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