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Egyptian multiplication

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Problem 1 problem 2

13* 25=325 18* 17 =306

1 25 (1*25) 1 17

2 50 (2*25) 2 34

4 100 (4*25) 4 68

8 200 (8* 25) 8 136
_____ _________
16 272
325 13* 25 ___ _______

Please help me figure out how this method works. In problem 1 , the 1* 25 has a check next to it. the 2*50 has a line drawn through it . The 4 100(4*25) has a check next to it and the 8 200 (8* 25 ) has a check next to it. Please explain why the checks are next to the numbers and why the one has a line drawn through it.

In problem number 2, 1 17 has a line drawn through it. 2 next to 34 has a check next to it . 4 next to 68 ha a line drawn through it. 8 next to 136 has a line drawn through it .And, 16 next to 272 has a check next to it. I'm sure there is some mathematical reasoning or solution why the checks and line drawn through them .
please give all possible solution with explanation.

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Solution Summary

This explains the Egyptian method of multiplication.

Solution Preview

The way how Egyptians do multiplication is they choose a multiplicand first (in problem 1 it is 25 and in problem 2 it is 17). Then they multiply the multiplicand by 1 (first row), and then by 2 (second row) and then by another 2 (third ...

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