Question

In using the Egyptian doubling procedure to find the product 10 x 104 which lines below should be added to find the product.
Line 1 1 104
Line 2 2 208
Line 3 4 312
Line 4 8 416

Answer 1

that doesnt look correct to me

one side is doubled while the other is halved is what i recall

Answer 2

\[24*7\]
\[\frac 22*24*7\]
\[\frac {24}2*2(7)\]
\[12*14\]
forget which gets which .... but it works out to the odd man out type construct

Answer 3

.... and what product are you trying to determine?

Answer 4

10x104

Answer 5

lets see if i recall the process :)

10 104
20 52
40 26
80 13
160 6 +1
320 3
640 1 +1

160
640
-----
800 , well that wasnt it :/

Answer 6

can you correct the process any?

Answer 7

10 104
20 52
40 26
80 13
160 6 + 160 1/2
320 3
640 1 + 640 1/2

640 + 640/2 + 160/2 is the results

so every odd value, 1,3, and 13 get added

Answer 8

if we change the odds to a +1, then its the rows with 1s next to them

10 104
20 52
40 26
80 12 +1
160 6
320 2 +1
640 1

Answer 9

oops i mean 10

Answer 10

10 = 2 + 8 i.e. 2,8 are the powers of 2 that add to 10

Answer 11

the problem is that the lines are wrong!

Answer 12

I am not sure how you do it

Answer 13

1 104 double to get
2 208 double again
4 416 and again
8 832

Answer 14

In using the Egyptian doubling procedure to find the product which lines below should be added to find the product.
Line 1
1
104
Line 2
2
208
Line 3
4
312
Line 4
8
416

A) lines 2 and 4
B) lines 1, 2, 3, and 4
C) lines 3 and 4
D) line 4
E) lines 1 and 4

Answer 15

now \(10=2+8\) so add lines 2 and 8

Answer 16

that was the question and the answers below
ok

Answer 17

well then answers are wrong, as it the procedure
you are supposed to double each time
it is pretty clear that \(10\times 104=1040\)

Answer 18

right

Answer 19

the largest power of 2 in 10 is 8
then the next largest is 2
and you are done because \(8+2=10\)

Answer 20

thats i thought

Answer 21

and if you look at the procedure i wrote above, you add line 8 to line 2 and get \(832+208=1040\)

Answer 22

it is not clear at all where the 312 comes from in the question, because that is not twice 208

i think there is just a mistake here somewhere in the question

Answer 23

I think there is too. Let me email the teacher and ask her

Answer 24

I just emailed the teacher so I guess i will wait on that question. Thank you.